Mathematical Optimization Theory and Operations Research: Recent Trends
This book constitutes refereed proceedings of the 22nd International Conference on Mathematical Optimization Theory and Operations Research: Recent Trends, MOTOR 2023, held in Ekaterinburg, Russia, during July 2-8, 2023. The 28 full papers and one invited paper presented in this volume were carefully reviewed and selected from a total of 61 submissions. The papers in the volume are organized according to the following topical headings: mathematical programming; stochastic optimization; discrete and combinatorial optimization; operations research; optimal control and mathematical economics; and optimization in machine learning.
The Politics of Modelling
Chapter 2, 'Pay no attention to the model behind the curtain', Chapter 4, 'Mind the hubris: Complexity can misfire', and Chapter 8, ' Sensitivity auditing: A practical checklist for auditing decision-relevant models' are published open access and free to read or download from Oxford Academic The widespread use of mathematical models for policy-making and its social and political impact are at the core of this book. While the discussion of mathematical modelling generally centres around technical features, use, and type of model, the literature is increasingly acknowledging that the social nature of modelling, its biases and responsibilities, are equally worth investigating. This book tackles these emerging questions by adopting a multidisciplinary approach to investigate how current modelling practices address contemporary challenges, and fills a gap in the field, which has historically focused on statistical and algorithmic modes of producing numbers. Thanks to its multidisciplinary appeal, this book will be essential reading for modellers, public officials, policymakers, and scholars alike.
Data Analysis
Data analysis has been a hot topic for a number of years, and many future data scientists have backgrounds that are relatively light in mathematics. This slim volume provides a very approachable guide to the techniques of the subject, designed with such people in mind. Formulae are kept to a minimum, but the book's scope is broad, introducing the basic ideas of probability and statistics and more advanced techniques such as generalised linear models, classification using logistic regression, and support-vector machines. An essential feature of the book is that it does not tie to any particular software. The methods introduced in this book could also be implemented using any other statistical software and applying any major statistical package. Academically, the book amounts to a first course, practical for those at the undergraduate level, either as part of a mathematics/statistics degree or as a data-oriented option for a non-mathematics degree. The book appeals to would-be data scientists who may be formula shy. However, it could also be a relevant purchase for statisticians and mathematicians, for whom data science is a new departure, overall appealing to any computer-literate reader with data to analyse.
Logics for AI and Law. Joint Proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, September 8-9 and
This comprehensive volume features the proceedings of the Third International Workshop on Logics for New-Generation Artificial Intelligence and the International Workshop on Logic, AI and Law, held in Hangzhou, China on September 8-9 and 11-12, 2023. The collection offers a diverse range of papers that explore the intersection of logic, artificial intelligence, and law. With contributions from some of the leading experts in the field, this volume provides insights into the latest research and developments in the applications of logic in these areas. It is an essential resource for researchers, practitioners, and students interested in the latest advancements in logic and its applications to artificial intelligence and law.
The philosophy of mathematics
The philosophy of mathematics, a classical book, has been considered essential throughout the human history, and so that this work is never forgotten we at Alpha Editions have made efforts in its preservation by republishing this book in a modern format for present and future generations. This whole book has been reformatted, retyped and designed. These books are not made of scanned copies of their original work and hence the text is clear and readable.
The Second Story of Meno; A Continuation of Socrates’ Dialogue with Meno in Which the Boy Proves Root 2 is Irrational
The Second Story of Meno; A Continuation of Socrates' Dialogue with Meno in Which the Boy Proves Root 2 is Irrational, a classical book, has been considered essential throughout the human history, and so that this work is never forgotten we at Alpha Editions have made efforts in its preservation by republishing this book in a modern format for present and future generations. This whole book has been reformatted, retyped and designed. These books are not made of scanned copies of their original work and hence the text is clear and readable.
Axiomatic Thinking II
In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere.The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to G繹ttingen as his main collaborator in foundational studies in the years to come.The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.
Solving Ordinary Differential Equations in Python
This open access volume explains the foundations of modern solvers for ordinary differential equations (ODEs). Formulating and solving ODEs is an essential part of mathematical modeling and computational science, and numerous solvers are available in commercial and open source software. However, no single ODE solver is the best choice for every single problem, and choosing the right solver requires fundamental insight into how the solvers work. This book will provide exactly that insight, to enable students and researchers to select the right solver for any ODE problem of interest, or implement their own solvers if needed. The presentation is compact and accessible, and focuses on the large and widely used class of solvers known as Runge-Kutta methods. Explicit and implicit methods are motivated and explained, as well as methods for error control and automatic time step selection, and all the solvers are implemented as a class hierarchy in Python.
Functional Analysis Tools for Practical Use in Sciences and Engineering
This textbook describes selected topics in functional analysis as powerful tools of immediate use in many fields within applied mathematics, physics and engineering. It follows a very reader-friendly structure, with the presentation and the level of exposition especially tailored to those who need functional analysis but don't have a strong background in this branch of mathematics. For every tool, this work emphasizes the motivation, the justification for the choices made, and the right way to employ the techniques. Proofs appear only when necessary for the safe use of the results. The book gently starts with a road map to guide reading. A subsequent chapter recalls definitions and notation for abstract spaces and some function spaces, while Chapter 3 enters dual spaces. Tools from Chapters 2 and 3 find use in Chapter 4, which introduces distributions. The Linear Functional Analysis basic triplet makes up Chapter 5, followed by Chapter 6, whichintroduces the concept of compactness. Chapter 7 brings a generalization of the concept of derivative for functions defined in normed spaces, while Chapter 8 discusses basic results about Hilbert spaces that are paramount to numerical approximations. The last chapter brings remarks to recent bibliographical items. Elementary examples included throughout the chapters foster understanding and self-study. By making key, complex topics more accessible, this book serves as a valuable resource for researchers, students, and practitioners alike that need to rely on solid functional analysis but don't need to delve deep into the underlying theory.
Axiomatic Thinking I
In this two-volume compilation of articles, leading researchers reevaluate the success of Hilbert's axiomatic method, which not only laid the foundations for our understanding of modern mathematics, but also found applications in physics, computer science and elsewhere.The title takes its name from David Hilbert's seminal talk Axiomatisches Denken, given at a meeting of the Swiss Mathematical Society in Zurich in 1917. This marked the beginning of Hilbert's return to his foundational studies, which ultimately resulted in the establishment of proof theory as a new branch in the emerging field of mathematical logic. Hilbert also used the opportunity to bring Paul Bernays back to G繹ttingen as his main collaborator in foundational studies in the years to come.The contributions are addressed to mathematical and philosophical logicians, but also to philosophers of science as well as physicists and computer scientists with an interest in foundations.Chapter 8 is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Elementary Methods of Graph Ramsey Theory
This book is intended to provide graduate students and researchers in graph theory with an overview of the elementary methods of graph Ramsey theory. It is especially targeted towards graduate students in extremal graph theory, graph Ramsey theory, and related fields, as the included contents allow the text to be used in seminars. It is structured in thirteen chapters which are application-focused and largely independent, enabling readers to target specific topics and information to focus their study. The first chapter includes a true beginner's overview of elementary examples in graph Ramsey theory mainly using combinatorial methods. The following chapters progress through topics including the probabilistic methods, algebraic construction, regularity method, but that's not all. Many related interesting topics are also included in this book, such as the disproof for a conjecture of Borsuk on geometry, intersecting hypergraphs, Tur獺n numbers and communication channels, etc.
A Basic Guide to Uniqueness Problems for Evolutionary Differential Equations
This book addresses the issue of uniqueness of a solution to a problem - a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon. This book is intended to be a short introduction to uniqueness questions for initial value problems. One often weakens the notion of a solution to include non-differentiable solutions. Such a solution is called a weak solution. It is easier to find a weak solution, but it is more difficult to establish its uniqueness. This book examines three very fundamental equations: ordinary differential equations, scalar conservation laws, and Hamilton-Jacobi equations. Starting from the standard Gronwall inequality, this book discusses less regular ordinary differential equations. It includes an introduction of advanced topics like the theory of maximal monotone operators as wellas what is called DiPerna-Lions theory, which is still an active research area. For conservation laws, the uniqueness of entropy solution, a special (discontinuous) weak solution is explained. For Hamilton-Jacobi equations, several uniqueness results are established for a viscosity solution, a kind of a non-differentiable weak solution. The uniqueness of discontinuous viscosity solution is also discussed. A detailed proof is given for each uniqueness statement. The reader is expected to learn various fundamental ideas and techniques in mathematical analysis for partial differential equations by establishing uniqueness. No prerequisite other than simple calculus and linear algebra is necessary. For the reader's convenience, a list of basic terminology is given at the end of this book.
Vector
A celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions--sparking both controversy and discovery. The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word "vector" might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also remember that a vector is a quantity that has magnitude and (this is the key) direction. In fact, vectors are examples of tensors, which can represent even more data. It sounds simple enough--and yet, as award-winning science writer Robyn Arianrhod shows in this riveting story, the idea of a single symbol expressing more than one thing at once was millennia in the making. And without that idea, we wouldn't have such a deep understanding of our world. Vector and tensor calculus offers an elegant language for expressing the way things behave in space and time, and Arianrhod shows how this enabled physicists and mathematicians to think in a brand-new way. These include James Clerk Maxwell when he ushered in the wireless electromagnetic age; Einstein when he predicted the curving of space-time and the existence of gravitational waves; Paul Dirac, when he created quantum field theory; and Emmy Noether, when she connected mathematical symmetry and the conservation of energy. For it turned out that it's not just physical quantities and dimensions that vectors and tensors can represent, but other dimensions and other kinds of information, too. This is why physicists and mathematicians can speak of four-dimensional space-time and other higher-dimensional "spaces," and why you're likely relying on vectors or tensors whenever you use digital applications such as search engines, GPS, or your mobile phone. In exploring the evolution of vectors and tensors--and introducing the fascinating people who gave them to us--Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. She shows the genius required to reimagine the world--and how a clever mathematical construct can dramatically change discovery's direction.
Geometry of Holomorphic Mappings
This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been developed in connection with these questions, and the goal of this book is to introduce the reader to some of these approaches and to demonstrate how they can be used in the context of boundary properties of holomorphic maps. The authors present substantial results concerning holomorphic mappings in several complex variables with improved and often simplified proofs. Emphasis is placed on geometric methods, including the Kobayashi metric, the Scaling method, Segre varieties, and the Reflection principle. Geometry of Holomorphic Mappings will provide a valuable resource for PhD students in complex analysis and complex geometry; it will also be of interest to researchers in these areas as a reference.
Making Democracy Count
How we can repair our democracy by rebuilding the mechanisms that power it What's the best way to determine what most voters want when multiple candidates are running? What's the fairest way to allocate legislative seats to different constituencies? What's the least distorted way to draw voting districts? Not the way we do things now. Democracy is mathematical to its very foundations. Yet most of the methods in use are a historical grab bag of the shortsighted, the cynical, the innumerate, and the outright discriminatory. Making Democracy Count sheds new light on our electoral systems, revealing how a deeper understanding of their mathematics is the key to creating civic infrastructure that works for everyone. In this timely guide, Ismar Volic empowers us to use mathematical thinking as an objective, nonpartisan framework that rises above the noise and rancor of today's divided public square. Examining our representative democracy using powerful clarifying concepts, Volic shows why our current voting system stifles political diversity, why the size of the House of Representatives contributes to its paralysis, why gerrymandering is a sinister instrument that entrenches partisanship and disenfranchisement, why the Electoral College must be rethought, and what can work better and why. Volic also discusses the legal and constitutional practicalities involved and proposes a road map for repairing the mathematical structures that undergird representative government. Making Democracy Count gives us the concrete knowledge and the confidence to advocate for a more just, equitable, and inclusive democracy.
Maurer-Cartan Methods in Deformation Theory
Covering an exceptional range of topics, this text provides a unique overview of the Maurer--Cartan methods in algebra, geometry, topology, and mathematical physics. It offers a new conceptual treatment of the twisting procedure, guiding the reader through various versions with the help of plentiful motivating examples for graduate students as well as researchers. Topics covered include a novel approach to the twisting procedure for operads leading to Kontsevich graph homology and a description of the twisting procedure for (homotopy) associative algebras or (homotopy) Lie algebras using the biggest deformation gauge group ever considered. The book concludes with concise surveys of recent applications in areas including higher category theory and deformation theory.
Semi-Infinite Algebraic Geometry of Quasi-Coherent Sheaves on Ind-Schemes
Semi-Infinite Geometry is a theory of "doubly infinite-dimensional" geometric or topological objects. In this book the author explains what should be meant by an algebraic variety of semi-infinite nature. Then he applies the framework of semiderived categories, suggested in his previous monograph titled Homological Algebra of Semimodules and Semicontramodules, (Birkh瓣user, 2010), to the study of semi-infinite algebraic varieties. Quasi-coherent torsion sheaves and flat pro-quasi-coherent pro-sheaves on ind-schemes are discussed at length in this book, making it suitable for use as an introduction to the theory of quasi-coherent sheaves on ind-schemes. The main output of the homological theory developed in this monograph is the functor of semitensor product on the semiderived category of quasi-coherent torsion sheaves, endowing the semiderived category with the structure of a tensor triangulated category. The author offers two equivalent constructions of the semitensorproduct, as well as its particular case, the cotensor product, and shows that they enjoy good invariance properties. Several geometric examples are discussed in detail in the book, including the cotangent bundle to an infinite-dimensional projective space, the universal fibration of quadratic cones, and the important popular example of the loop group of an affine algebraic group.
Graph Theory and Additive Combinatorics
Using the dichotomy of structure and pseudorandomness as a central theme, this accessible text provides a modern introduction to extremal graph theory and additive combinatorics. Readers will explore central results in additive combinatorics-notably the cornerstone theorems of Roth, Szemer矇di, Freiman, and Green-Tao-and will gain additional insights into these ideas through graph theoretic perspectives. Topics discussed include the Tur獺n problem, Szemer矇di's graph regularity method, pseudorandom graphs, graph limits, graph homomorphism inequalities, Fourier analysis in additive combinatorics, the structure of set addition, and the sum-product problem. Important combinatorial, graph theoretic, analytic, Fourier, algebraic, and geometric methods are highlighted. Students will appreciate the chapter summaries, many figures and exercises, and freely available lecture videos on MIT OpenCourseWare. Meant as an introduction for students and researchers studying combinatorics, theoretical computer science, analysis, probability, and number theory, the text assumes only basic familiarity with abstract algebra, analysis, and linear algebra.
Mathematical Physics with Differential Equations
Traditional literature in mathematical physics is clustered around classical mechanics, especially fluids and elasticity. This book reflects the modern development of theoretical physics in the areas of field theories: classical, quantum, and gravitational, in which differential equations play essential roles and offer powerful insight. Yang here presents a broad range of fundamental topics in theoretical and mathematical physics based on the viewpoint of differential equations. The subject areas covered include classical and quantum many-body problems, thermodynamics, electromagnetism, magnetic monopoles, special relativity, gauge field theories, general relativity, superconductivity, vortices and other topological solitons, and canonical quantization of fields, for which knowledge and use of linear and nonlinear differential equations are essential for comprehension. Much emphasis is given to the mathematical and physical content offering an appreciation of the interplay of mathematics and theoretical physics from the viewpoint of differential equations. Advanced methods and techniques of modern nonlinear functional analysis are kept to a minimum and each chapter is supplemented with a collection of exercises of varied depths making it an ideal resource for students and researchers alike.
Optimal Experimental Design
This textbook provides a concise introduction to optimal experimental design and efficiently prepares the reader for research in the area. It presents the common concepts and techniques for linear and nonlinear models as well as Bayesian optimal designs. The last two chapters are devoted to particular themes of interest, including recent developments and hot topics in optimal experimental design, and real-world applications. Numerous examples and exercises are included, some of them with solutions or hints, as well as references to the existing software for computing designs. The book is primarily intended for graduate students and young researchers in statistics and applied mathematics who are new to the field of optimal experimental design. Given the applications and the way concepts and results are introduced, parts of the text will also appeal to engineers and other applied researchers.
Perplexing Paradoxes
Why does it always seem like the elevator is going down when you need to go up? Is it really true that 0.99999 . . . with an infinite number of 9s after the decimal point, is equal to 1? What do tea leaves and river erosion have in common, per Albert Einstein? Does seeing a bed of red flowers help prove that all ravens are black? Can we make sense of a phrase like "this statement is unprovable"? Exploring these questions and many more, George G. Szpiro guides readers through the puzzling world of paradoxes, from Socratic dialogues to the Monty Hall problem. Perplexing Paradoxes presents sixty counterintuitive conundrums drawn from diverse areas of thought--not only mathematics, statistics, logic, and philosophy but also social science, physics, politics, and religion. Szpiro offers a brisk history of each paradox, unpacks its inner workings, and considers where one might encounter it in daily life. Ultimately, he argues, paradoxes are not simple brain teasers or abstruse word games--they challenge us to hone our reasoning and become more alert to the flaws in received wisdom and common habits of thought. Lighthearted, witty, and conversational, Perplexing Paradoxes presents sophisticated material in an accessible way for all readers interested in the world's boundless possibilities--and impossibilities.
Taking the "Oof!" Out of Proofs
This book introduces readers to the art of doing mathematical proofs.
Level Set Methods for Fluid-Structure Interaction
This monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods.In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids.This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into ​​the applications and performance of these models.Assuming background at the level of a Master's degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.
Mersenne Numbers, Strings, the Rule of 6, and the Method of Fractions
Academic Paper from the year 2023 in the subject Mathematics - Analysis, grade: 2.00, language: English, abstract: The work developed here brings a significant measure of order to the search for prime numbers. It is shown conclusively that no Mersenne number can have an integer square root, this being, until now, one of the unsolved problems in Number theory. It is shown that there are a new set of numbers given by F = (M + 2)/3 where M is a Mersenne number. it is found that when M is prime then F is prime. however, it is also found that prime numbers may be generated when M is composite and the index of the Mersenne number is prime, but this is not invariably the case. An accelerated method of trial division is derived and from which we construct one row matrices which we have called, templates. These are found to be of great utility in determining factors of numbers, and their 'extent' is equal to the number of digits in a number of interest. The template may be easily extended by a simple process explained in the text. Extension of a template by one unit increases that range of numbers which may be examined by an order of magnitude.
MotivPoetry
Do you know poetry can be motivational? Poetry has great power. Let MotivPoetry by Walter the Educator motivate you to be a great Mathematician! Creating a poetry book about being a great mathematician can be a unique and creative way to explore the intersection of two seemingly different disciplines. It allows you to bridge the gap between the logical, analytical world of mathematics and the expressive, imaginative world of poetry. By combining these two disciplines, you can showcase the beauty and elegance of mathematics through the power of language and emotions. Poetry can help to humanize the often abstract and complex concepts of mathematics, making them more relatable and accessible to a wider audience. Furthermore, a poetry book about being a great mathematician can inspire and encourage others to pursue and appreciate the subject. It can showcase the creative and artistic aspects of mathematics, breaking stereotypes and showing that the field is not just about calculations and formulas, but also about creativity, intuition, and innovation. Overall, creating a poetry book about being a great mathematician allows you to celebrate both the logical and creative sides of your identity, and to share your passion for both disciplines in a unique and compelling way.
Functional Data Analysis with R
Functional Data Analysis with R presents many ideas for handling functional data including dimension reduction techniques, smoothing, functional regression, structured decompositions of curves and clustering.
Exploring Mathematical Analysis, Approximation Theory, and Optimization
This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it relates to Legendre's work and its association to the foundation of Greece's higher education.Topics covered in this book include the investigation of the Jensen-Steffensen inequality, Ostrowski and trapezoid type inequalities, a Hilbert-Type Inequality, Hardy's inequality, dynamic unilateral contact problems, square-free values of a category of integers, a maximum principle for general nonlinear operators, the application of Ergodic Theory to an alternating series expansion for real numbers, bounds for similarity condition numbers of unbounded operators, finite element methods with higher order polynomials, generating functions for the Fubini type polynomials, local asymptotics for orthonormal polynomials, trends in geometric function theory, quasi variational inclusions, Kleene fixed point theorems, ergodic states, spontaneous symmetry breaking and quasi-averages.It is hoped that this book will be of interest to a wide spectrum of readers from several areas of pure and applied sciences, and will be useful to undergraduate students, graduate level students, and researchers who want to be kept up to date on the results and theories in the subjects covered in this volume.
Advanced Statistical Methods
This is the second book of the two volumes covering the advanced statistical methods and analysis. Significant topics include advanced concepts in regression, index numbers, time series, and vital statistics. The book includes useful examples and exercises as well as relevant case studies for proper implementation of the discussed tools. This book will be a valuable text for advanced undergraduate students of statistics, management, economics, and psychology, wanting to gain advanced understanding of statistics and the usage of its various concepts.
Partial Differential Equations
This graduate textbook provides a self-contained introduction to the classical theory of partial differential equations (PDEs). Through its careful selection of topics and engaging tone, readers will also learn how PDEs connect to cutting-edge research and the modeling of physical phenomena. The scope of the Third Edition greatly expands on that of the previous editions by including five new chapters covering additional PDE topics relevant for current areas of active research. This includes coverage of linear parabolic equations with measurable coefficients, parabolic DeGiorgi classes, Navier-Stokes equations, and more. The "Problems and Complements" sections have also been updated to feature new exercises, examples, and hints toward solutions, making this a timely resource for students.Partial Differential Equations: Third Edition is ideal for graduate students interested in exploring the theory of PDEs and how they connect to contemporary research. It can also serve as a useful tool for more experienced readers who are looking for a comprehensive reference.
Research in History and Philosophy of Mathematics
This volume contains 8 papers that have been collected by the Canadian Society for History and Philosophy of Mathematics. It showcases rigorously reviewed contemporary scholarship on an interesting variety of topics in the history and philosophy of mathematics.Some of the topics explored include: A way to rethink how logic is taught to philosophy students by using a rejuvenated version of the Aristotelian idea of an argument schemaA quantitative approach using data from Wikipedia to study collaboration between nineteenth-century British mathematiciansThe depiction and perception of ?milie Du Ch璽telet's scientific contributions as viewed through the frontispieces designed for books written by or connected to herA study of the Cambridge Women's Research Club, a place where British women were able to participate in scholarly scientific discourse in the middle of the twentieth centuryAn examination of the researchand writing process of mathematicians by looking at their drafts and other preparatory notesA global history of al-Khwārāzmī's Kitāb al-jabr wa-l-muqābala as obtained by tracing its reception through numerous translations and commentariesWritten by leading scholars in the field, these papers are accessible not only to mathematicians and students of the history and philosophy of mathematics, but also to anyone with a general interest in mathematics.
A Manual of the Slide Rule
2023 Reprint of the 1930 Edition. Full facsimile of the original edition and not reproduced with Optical Recognition Software. The present manual is intended to supply in a uniform presentation an account of the history, principles, and practical uses of the slide rule. Among its specific aims are: to show the unity of the principle of operation of all slide rules, to explain this principle in a manner which shall be easily understood, to give in clear and simple language explicit and inclusive instructions for the use of all the standard forms, and to supply a fairly complete account of the history of the slide rule and a description of the more usual of the special forms of the rule.
Math Adventures - Grade 1
Math Adventures - Grade 1: A Key to Academic Math AdvancementMath Adventures - Grade 1 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Math Adventures - Grade 5
Math Adventures - Grade 5: A Key to Academic Math AdvancementMath Adventures - Grade 5 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Simple Math
Simple Math: Ace Academic Publishing Multiplication and Division Workbook 200 Math Word Problems 3000+ Fact Problems Everyday PracticeDetailed Explanations: Sets of questions are preceded by explanations of the concepts as well as example problems to ensure a strong understanding of the material.Grouped Facts: The practice problems are grouped together based on their range of numbers and difficulty so that your student gradually develops an increasingly stronger understanding of the concept.Word Problems: Students are introduced to word problems early on in the book so they are able to apply the concepts they have learned to real-life scenarios.Interactive Activity Corners: This workbook features a multitude of fun activities that test student's knowledge while adding an element of fun, ensuring engagement during their learning process.Recommended by Teachers: These carefully created worksheets aim to help students learn addition and subtraction facts in methods that allow them to recognize them in any context. Their ability to apply these facts that are learned in this book will greatly improve.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of the basic addition and subtraction facts and also will help you identify the topics that students may require additional practice with.
Math Adventures - Grade 6
Math Adventures - Grade 6: A Key to Academic Math AdvancementMath Adventures - Grade 6 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Simple Math
Simple Math: Ace Academic Publishing Addition and Subtraction Workbook 200 Math Word Problems 3000+ Fact Problems Everyday PracticeDetailed Explanations: Sets of questions are preceded by explanations of the concepts as well as example problems to ensure a strong understanding of the material.Grouped Facts: The practice problems are grouped together based on their range of numbers and difficulty so that your student gradually develops an increasingly stronger understanding of the concept.Word Problems: Students are introduced to word problems early on in the book so they are able to apply the concepts they have learned to real-life scenarios.Interactive Activity Corners: This workbook features a multitude of fun activities that test students' knowledge while adding an element of fun, ensuring engagement during their learning process.Recommended by Teachers: These carefully created worksheets aim to help students learn addition and subtraction facts in methods that allow them to recognize them in any context. Their ability to apply these facts that are learned in this book will greatly improve.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of the basic addition and subtraction facts and also will help you identify the topics that students may require additional practice with.
Math Adventures - Grade 3
Math Adventures - Grade 3: A Key to Academic Math AdvancementMath Adventures - Grade 3 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Common Core Math Workbook
4th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Common Core Math Workbook
7th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Math Adventures - Grade 7
Math Adventures - Grade 7: A Key to Academic Math AdvancementMath Adventures - Grade 7 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Handbook of Statistical Methods for Randomized Controlled Trials
Statistical concepts provide scientific framework in experimental studies, including randomized controlled trials. In order to design, monitor, analyze and draw conclusions scientifically from such clinical trials, clinical investigators and statisticians should have a firm grasp of the requisite statistical concepts. The Handbook of Statistical Methods for Randomized Controlled Trials presents these statistical concepts in a logical sequence from beginning to end and can be used as a textbook in a course or as a reference on statistical methods for randomized controlled trials.Part I provides a brief historical background on modern randomized controlled trials and introduces statistical concepts central to planning, monitoring and analysis of randomized controlled trials. Part II describes statistical methods for analysis of different types of outcomes and the associated statistical distributions used in testing the statistical hypotheses regarding the clinical questions. Part III describes some of the most used experimental designs for randomized controlled trials including the sample size estimation necessary in planning. Part IV describe statistical methods used in interim analysis for monitoring of efficacy and safety data. Part V describe important issues in statistical analyses such as multiple testing, subgroup analysis, competing risks and joint models for longitudinal markers and clinical outcomes. Part VI addresses selected miscellaneous topics in design and analysis including multiple assignment randomization trials, analysis of safety outcomes, non-inferiority trials, incorporating historical data, and validation of surrogate outcomes.
Math Adventures - Grade 2
Math Adventures - Grade 2: A Key to Academic Math AdvancementMath Adventures - Grade 2 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Innovation Diffusion Models
Innovation Diffusion Models Understand innovation diffusion models and their role in business success Innovation diffusion models are statistical models that predict the medium- and long-term sales performance of new products on a market. They account for numerous factors that contribute to the life cycle of a new product and are subject to continuous reassessment as markets transform and the business world becomes more complex. In a modern market environment where product life cycles are becoming ever shorter, the latest innovation diffusion models are essential for businesses looking to perfect their decision-making processes. Innovation Diffusion Models: Theory and Practice provides a comprehensive and up-to-date guide to these models and their potential to impact product development. It focuses on the latest product diffusion models, which combine time series analysis with nonlinear regression techniques to create increasingly refined predictions. Its combination of mathematical theory and business practice makes it an indispensable tool across many sectors of industry and commerce. Innovation Diffusion Models readers will also find: Real-world examples demonstrating the kinds of data sets generated by new product growth models and their potential applications Discussion of the factors underlying the decision to select a given growth model for a particular product Clear, detailed explanation of each model's explanatory ability Innovation Diffusion Models is an essential volume for practitioners in any field of industry or commerce, as well as for graduate students and researchers in business and finance.
Common Core Math Workbook
6th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Common Core Math Workbook
2nd Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
Math Adventures - Grade 8
Math Adventures - Grade 8: A Key to Academic Math AdvancementMath Adventures - Grade 8 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Math Adventures - Grade 4
Math Adventures - Grade 4: A Key to Academic Math AdvancementMath Adventures - Grade 4 is an excellent resource for end-of-the-year state tests given by schools and a great review book during the summer. Whether you want to improve your math skills or keep them sharp, "Math Adventures" provides a comprehensive and challenging set of problems to help you achieve your goals. Our authors have extensive experience in teaching and developing math curricula for students at all levels. They have carefully crafted each problem to challenge students and help them develop key problem-solving and critical-thinking skills. The book covers a wide range of topics, including arithmetic, algebra, geometry, and data analysis, providing students with a well-rounded education in math.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice on.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems.
Common Core Math Workbook
5th Grade Common Core Math: Practice Workbook Practice Questions, Answers & Explanations Recommended by Teachers Ace Academic PublishingBased on Common Core State Standards: Similar to a standardized exam, you can find questions of all types, including multiple-choice, fill-in-the-blank, true or false, match the correct answer, and free-response questions.High Standards of Questions: Each of these questions is divided into Chapters and Sub-Topics. The contents of this Math workbook include multiple chapters and units covering all the required Common Core Standards for this grade level.Recommended by Teachers: These carefully written questions aim to help students reason abstractly and quantitatively using various models, strategies, and problem-solving techniques.Identifying trouble spots and fixing them: This workbook will help students overcome any deficiencies in their understanding of critical concepts and also will help you identify the specific topic that students may require additional practice.Practice all types of questions including free response: The book is comprised of multiple tests for each topic so that your child can have an abundant amount of tests on the same topic.Includes 2 Comprehensive Full-Length Tests: to practice the entire syllabus to prepare for the common core standardized exams.Includes detailed step-by-step answers: The detailed answer explanations in the back of the book help the students understand the topics and gain confidence in solving similar problems and take the Common Core Standardized Exam with Confidence.
