Time Series for Data Science
Practical Time Series Analysis for Data Science is an accessible guide that doesn't require a background in calculus to be engaging but does not shy away from deeper explanations of the techniques discussed.
Numerical analysis of Lattice Boltzmann Methods for the heat equation on a bounded interval
Lattice Boltzmann methods are a promising approach for the numerical solution of fluid-dynamic problems. We consider the one-dimensional Goldstein-Taylor model with the aim to answer some of the questions concerning the numerical analysis of lattice Boltzmann schemes. Discretizations for the solution of the heat equation are presented for a selection of boundary conditions. Stability and convergence of the solutions are proved by employing energy estimates and explicit Fourier representations.
Mathematical Explorations
Mathematical Explorations can take an infinity offorms, at least as diverse as the explorations of space and time.Unlike explorations of space there is no need for expensiveequipment such as ice-axes, GPS systems or space rockets.Indeed, even the semi-invalid may pursue such adventureswithout leaving their desks, though admittedly it helps to have asmall computer to hand. ( Not essential ). In this further album of research reports Jim Warrenexplores inter alia the Re-Binning of Grouped Statistics; theMathematics of Ancient Pyramid Planning; ways of AssessingComputer Efficiency; the Mechanics of Planetary Flattening;Unusual Aspects of Algebraic Polynomials; and Testing theIntegrity of Decision Logic. Enjoy the work and I hope you find it useful as a starting point.Full algebraic developments and diagrams included
Solving Physics Problems
This book provides a complete, consistent, and open system for studying physics problems, which not only provides high-quality teaching materials for the field of physics education (especially for Physics Olympiad training) but also points out a new direction for physics education. In this book, a form of methodology, which can comprehensively present cogitation discipline, is built up for analyzing and solving complex physics problems. The text analyzes plenty of physics problems (classical mechanics) from both theoretical and philosophical points of view to reveal the way of exerting this form. As a set of methodology reflecting the cogitation discipline, the thinking paradigm proposed in this book (called the MLQ-(ST)C paradigm) is a theoretical tool to develop people's acquisition of this ability. The paradigm successfully deconstructs the elements and the structure in physical thinking and then eliminates the obstacles of people's underlying thinking, so that all the thinking built on it can be clear and ordered. The physics problems included in this book are significantly more difficult than similar books within the same theoretical domains involved, leading to better teaching and learning value.
Mind Math
Math class can be a frustrating place for many children, but it doesn't have to be that way. When a student understands the fundamentals of math, the classroom transforms from a place of stress and anger into a place full of exciting adventures. The confidence students earn from this book can be used each year as they conquer new math topics.Thank you so much for taking the time to check out my book. I know you're going to absolutely love it, and i can't wait to share my knowledge and experience with you on the inside! Here is a small sample methods you will learn: Add/multiply /subtract/divide numbers at a faster paceCalculate the square root of a number like 1496 in less than 5 secondsSolve algebraic equations at a lighting speedFind the cube root of a number like 46,656 in less than 5 secondsFind the percentage of a number at a rapid paceAnd much, much moreCan advanced mathematics demonstrate the mind's inner workings? Yes, according to mathematician and author robert paster. The mit and harvard graduate has studied theories of quantum physics related to cognition for more than twenty years, and now he has applied that knowledge to digital mind math, the innovative framework that mathematically models the way we think.
Palm theory, mass transports and ergodic theory for group-stationary processes
This work is about random measures stationary with respect to a possibly non-transitive group action. It contains chapters on Palm Theory, the Mass-Transport Principle and Ergodic Theory for such random measures. The thesis ends with discussions of several new models in Stochastic Geometry (Cox Delauney mosaics, isometry stationary random partitions on Riemannian manifolds). These make crucial use of the previously developed techniques and objects.
Unreasonable Mathematics
Unreasonable mathematics constitutes a very diverse, some would say miscellaneous, congeries of topics: Merely those which excited the curiosity of this author. Notwithstanding, like any mathematics, these areas can be researched with the greatest rigor, as long as we retain a sense of humor and a flexible and workmanlike approach that integrates mathematical, statistical and computational devices in a practical way. Topics touched upon include: Calibrating a Pedometer; Iterating the Theorem of Pythagoras; Fitting Non-Linear Equations; Mineral Crystal Chemistry; The Types of Names that can be Pronounced; and the Quadrature of Irregular Polygons. Enjoy the work and I hope you find it useful as a starting point.Full algebraic derivations and diagrams included.
Water in the Making of a Socio-Natural Landscape
Water in the Making of a Socio-Natural Landscape explores the transition from early modern to modern water management in late nineteenth-century Rome.
Differentiability in Banach Spaces, Differential Forms and Applications
This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm operators, this aiming to define the derivative of Fr矇chet and to give examples in Variational Calculus and to extend the results to Fredholm maps. The Inverse Function Theorem is explained in full details to help the reader to understand the proof details and its motivations. The inverse function theorem and applications make up this first part. The text contains an elementary approach to Vector Fields and Flows, including the Frobenius Theorem. The Differential Forms are introduced and applied to obtain the Stokes Theorem and to define De Rham cohomology groups. As an application, the finalchapter contains an introduction to the Harmonic Functions and a geometric approach to Maxwell's equations of electromagnetism.
Linear Algebra I: Basic Concepts
This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.In particular, the following four aspects are emphasized.
Mathematics for Biomedical Applications
This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.
Linear Algebra I: Basic Concepts
This is the first volume of the two-volume book on linear algebra, in the University of Tokyo (UTokyo) Engineering Course.The objective of this volume is to present, from the engineering viewpoint, the standard mathematical results in linear algebra such as those on systems of equations and eigenvalue problems. In addition to giving mathematical theorems and formulas, it explains how the mathematical concepts such as rank, eigenvalues, and singular values are linked to engineering applications and numerical computations.In particular, the following four aspects are emphasized.How matrices arise (discretization of differential equations, description of system structures, description of transition probability)What kinds of matrices arise (sparse matrices, positive definite matrices, diagonally-dominant matrices, nonnegative matrices, integer matrices, polynomial matrices)What characteristics we are interested in (rank, eigenvalues, singular values, positive definiteness)How we can compute (expansion formulas of determinants, elementary transformation, estimates of eigenvalues)
Towards Deep Understanding of Elementary School Mathematics: A Brief Companion for Teacher Educators and Others
The book is intended to serve as a brief companion for mathematical educators of elementary teacher candidates who learn mathematics within a college of education both at the undergraduate and graduate levels. Being informed by mathematics teaching and learning standards of the United States, Australia, Canada, Chile, England, Japan, Korea, Singapore, and South Africa, the book can be used internationally.The teaching methods emphasize the power of visualization, the use of physical materials, and support of computer technology including spreadsheet, Wolfram Alpha, and the Geometer's Sketchpad.The basic ideas include the development of the concepts of number, base-ten system, problem solving and posing, the emergence of fractions in the context of simple real-life activities requiring the extension of whole number arithmetic, decimals, percent, ratio, geoboard geometry, elements of combinatorics, probability and data analysis.The book includes historical aspects of elementary school mathematics. For example, readers would be interested to know that two-sided counters stem from the binary system with its genesis in the 1st millennium BC China of which Leibnitz (17th century) was one of the first notable proponents. The genesis of the base-ten arithmetic is in the Egyptian mathematics of the 4th millennium BC, enriched with the positional notation with the advent of Hindu-Arabic numerals in the 12th century Europe.
Analytic Continuation and Q-Convexity
1. Analytic Continuation and Pseudoconvexity.- 2. q-Plurisubharmonicity.- 3. q-Pseudoconvexity.- 4. q-Convexity and q-Completeness.- References.- Index.
Mathematics for Biomedical Applications
This title is part of UC Press's Voices Revived program, which commemorates University of California Press's mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1979.
Perfect Numbers and Fibonacci Sequences
In this book, we first review the history and current situation of the perfect number problem, including the origin story of the Mersenne primes, and then consider the history and current situation of the Fibonacci sequence. Both topics include results from our own research. In the later sections, we define the square sum perfect numbers, and describe for the first time the secret relationships connecting the square sum perfect numbers, the Fibonacci sequence, the Lucas sequence, the twin prime conjecture, and the Fermat primes. Throughout, we raise various interesting questions and conjectures.
Fundamentals of Spread Spectrum Modulation
This lecture covers the fundamentals of spread spectrum modulation, which can be defined as any modulation technique that requires a transmission bandwidth much greater than the modulating signal bandwidth, independently of the bandwidth of the modulating signal. After reviewing basic digital modulation techniques, the principal forms of spread spectrum modulation are described. One of the most important components of a spread spectrum system is the spreading code, and several types and their characteristics are described. The most essential operation required at the receiver in a spread spectrum system is the code synchronization, which is usually broken down into the operations of acquisition and tracking. Means for performing these operations are discussed next. Finally, the performance of spread spectrum systems is of fundamental interest and the effect of jamming is considered, both without and with the use of forward error correction coding. The presentation ends with consideration of spread spectrum systems in the presence of other users. For more complete treatments of spread spectrum, the reader is referred to [1, 2, 3].
Plane and Solid Geometry Essentials
In one textbook, Plane and Solid Geometry Essentials presents all the foundational materials of a semester and a half of high school geometry! It incorporates the impressive teaching methods of Professors H. Fawcett and George Polya plus suggestions from the fifth and thirteenth yearbooks of the National Council of Teachers of Mathematics and the 1950's yearbook of Central Association of Science and Math Teachers (now School Science and Mathematics Association). This text prepares students with the Plane and Solid Geeometry needed for the for the first year calculus as well the trades and decision making. James Elander's career of high school and college teaching provides insight into what students and teachers need to make learning enjoyable, gratifying, and learn the skills of decision-making!
Plane and Solid Geometry Essentials
In one textbook, Plane and Solid Geometry Essentials presents all the foundational materials of a semester and a half of high school geometry! It incorporates the impressive teaching methods of Professors H. Fawcett and George Polya plus suggestions from the fifth and thirteenth yearbooks of the National Council of Teachers of Mathematics and the 1950's yearbook of Central Association of Science and Math Teachers (now School Science and Mathematics Association). This text prepares students with the Plane and Solid Geeometry needed for the for the first year calculus as well the trades and decision making. James Elander's career of high school and college teaching provides insight into what students and teachers need to make learning enjoyable, gratifying, and learn the skills of decision-making!
Computational Fluid Dynamics 2020
This book presents a collection of works published in a recent Special Issue (SI) entitled "Computational Fluid Dynamics". These works address the development and validation of existent numerical solvers for fluid flow problems and their related applications. They present complex nonlinear, non-Newtonian fluid flow problems that are (in some cases) coupled with heat transfer, phase change, nanofluidic, and magnetohydrodynamics (MHD) phenomena. The applications are wide and range from aerodynamic drag and pressure waves to geometrical blade modification on aerodynamics characteristics of high-pressure gas turbines, hydromagnetic flow arising in porous regions, optimal design of isothermal sloshing vessels to evaluation of (hybrid) nanofluid properties, their control using MHD, and their effect on different modes of heat transfer. Recent advances in numerical, theoretical, and experimental methodologies, as well as new physics, new methodological developments, and their limitations are presented within the current book. Among others, in the presented works, special attention is paid to validating and improving the accuracy of the presented methodologies. This book brings together a collection of inter/multidisciplinary works on many engineering applications in a coherent manner.
Classical and Discrete Differential Geometry
This book introduces differential geometry and cutting-edge findings from the discipline by incorporating both classical approaches and modern discrete differential geometry across all facets and applications, including graphics and imaging, physics and networks.
Automated Reasoning
This volume, LNAI 13385, constitutes the refereed proceedings of the 11th International Joint Conference on Automated Reasoning, IJCAR 2022, held in Haifa, Israel, in August 2022. The 32 full research papers and 9 short papers presented together with two invited talks were carefully reviewed and selected from 85 submissions. The papers focus on the following topics: Satisfiability, SMT Solving, Arithmetic; Calculi and Orderings; Knowledge Representation and Jutsification; Choices, Invariance, Substitutions and Formalization; Modal Logics; Proofs System and Proofs Search; Evolution, Termination and Decision Prolems.This is an open access book.
Fuzzy Dynamic Equations, Dynamic Inclusions, and Optimal Control Problems on Time Scales
The theory of dynamic equations has many interesting applications in control theory, mathematical economics, mathematical biology, engineering and technology. In some cases, there exists uncertainty, ambiguity, or vague factors in such problems, and fuzzy theory and interval analysis are powerful tools for modeling these equations on time scales. The aim of this book is to present a systematic account of recent developments; describe the current state of the useful theory; show the essential unity achieved in the theory fuzzy dynamic equations, dynamic inclusions and optimal control problems on time scales; and initiate several new extensions to other types of fuzzy dynamic systems and dynamic inclusions. The material is presented in a highly readable, mathematically solid format. Many practical problems are illustrated, displaying a wide variety of solution techniques. The book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. Students in mathematical and physical sciences will find many sections of direct relevance.
Tree generation and enumeration
I believe in passing on knowledge to further generations, inspiring scientists and mathematicians of today and tomorrow. By making books about graph theory, I can make my vision happen and leave a mark in this world, and enrich the minds of curious individuals. The book Tree generation and enumeration: an extended model in graph theory, is about a formal system for tree generation, including such tree types as rooted trees, free trees, series-reduced rooted trees and series-reduced free trees. A link is made between positive integer partitions, natural numbers and trees, and the scope of tree generation is expanded to equations, a new branch in graph theory called advanced vertex edge algebra. With multiple various examples and results, this model, or theory, can be an insightful experience, and can improve intuition and expertise especially in rooted tree generation. The main focus of the book is in tree generation, but there are quite many examples of tree enumeration as well.
Engineering Mathematics and Computing
This book contains select papers presented at the 3rd International Conference on Engineering Mathematics and Computing (ICEMC 2020), held at the Haldia Institute of Technology, Purba Midnapur, West Bengal, India, from 5-7 February 2020. The book discusses new developments and advances in the areas of neural networks, connectionist systems, genetic algorithms, evolutionary computation, artificial intelligence, cellular automata, self-organizing systems, soft computing, fuzzy systems, hybrid intelligent systems, etc. The book, containing 19 chapters, is useful to the researchers, scholars, and practising engineers as well as graduate students of engineering and applied sciences.
How to Predict Future Lottery Results Book 5
This book is designed for all lottery players around the world. The prediction in this book is based on understanding the behaviour and complexity of random systems. Understanding random systems is the best tool we have for predicting future lottery results. This book predicts higher returns when numbers 48 and 49 come out together in your chosen combination. Each combination in this book is affordable to individuals, families playing together as a syndicate, or syndicates set up in the workplace or community. The book includes a selection of lucky bonus combinations which can also be played in various countries around the world, including the UK. You can be the judge of this book by observing each combination over time, or you can choose from combinations 1 to 21 and start playing your chosen combination. You can also choose from one of the seven bonus combinations in this book. The following combination has already come out from the German lottery on Saturday, 15 January 2022: 5 34 42 43 48 49 This is evidence that the researched combinations in this book have the potential to guarantee winnings. After the prediction of two-, three-, and four-number combinations in previous volumes of the series, the author now publishes the prediction of five-number combinations that are affordable to lottery players around the globe.
Linear Algebra
The purpose of this book is to explain linear algebra clearly for beginners. In doing so, the author states and explains somewhat advanced topics such as Hermitian products and Jordan normal forms. Starting from the definition of matrices, it is made clear with examples that matrices and matrix operation are abstractions of tables and operations of tables. The author also maintains that systems of linear equations are the starting point of linear algebra, and linear algebra and linear equations are closely connected. The solutions to systems of linear equations are found by solving matrix equations in the row-reduction of matrices, equivalent to the Gauss elimination method of solving systems of linear equations. The row-reductions play important roles in calculation in this book. To calculate row-reductions of matrices, the matrices are arranged vertically, which is seldom seen but is convenient for calculation. Regular matrices and determinants of matrices are defined and explained. Furthermore, the resultants of polynomials are discussed as an application of determinants. Next, abstract vector spaces over a field K are defined. In the book, however, mainly vector spaces are considered over the real number field and the complex number field, in case readers are not familiar with abstract fields. Linear mappings and linear transformations of vector spaces and representation matrices of linear mappings are defined, and the characteristic polynomials and minimal polynomials are explained. The diagonalizations of linear transformations and square matrices are discussed, and inner products are defined on vector spaces over the real number field. Real symmetric matrices are considered as well, with discussion of quadratic forms. Next, there are definitions of Hermitian inner products. Hermitian transformations, unitary transformations, normal transformations and the spectral resolution of normal transformations and matrices are explained. The book ends withJordan normal forms. It is shown that any transformations of vector spaces over the complex number field have matrices of Jordan normal forms as representation matrices.
Mathematical Methods, Modelling and Applications
This volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods.
Math Mammoth Grade 6-A Worktext
Math Mammoth Grade 6-A Worktext is the student book for the first half of grade 6 mathematics. This student worktext contains both the necessary instruction and the problems & exercises (the 'text' & and the 'work'; thus a "worktext"), and is fairly self-teaching. This is the 2022 edition.The main areas of study in Math Mammoth Grade 6-A are: review of the basic operations with whole numbersbeginning algebra topics: expressions, equations, and inequalitiesreview of all decimal arithmeticintroduction to ratios and percentprime factorization, GCF, and LCMa review of fraction arithmetic from 5th grade, plus a focus on division of fractionsthe concept of integers, coordinate grid, addition & subtraction of integersgeometry: review of quadrilaterals & drawing problems; area of triangles & polygons; volume of rectangular prisms with fractional edge lengths; surface areastatistics: concept of distribution, measures of center, measures of variation, boxplots, stem-and-leaf plots, histogramsThis book starts out with a review of the four operations with whole numbers (including long division), place value, and rounding. Students are also introduced to exponents and do some problem solving.Chapter 2 starts the study of algebra topics, delving first into expressions and equations. Students practice writing expressions in many different ways, and use properties of operations and the idea of maintaining the equality of both sides of an equation to solve simple one-step equations. We also study briefly inequalities and using two variables.In chapter 3 we review all of decimal arithmetic, just using more decimal digits than in 5th grade. Students also practice conversions of measurement units.Ratios (chapter 4) is a new topic for sixth grade. Students are already familiar with finding fractional parts of quantities from earlier grades, and now it is time to advance that knowledge into the study of ratios, which arise naturally from dividing a quantity into many equal parts. We study such topics as rates, unit rates, equivalent ratios, and problem solving using bar models.In chapter 5, the goal is to develop a basic understanding of percent, to see percentages as decimals, and to learn to calculate discounts.FeaturesMath Mammoth focuses on conceptual understanding. It explains the "WHY", so your children can understand the math, not just learn "HOW" to do it.The curriculum is mastery-oriented. This means it concentrates fairly long on a topic, delving into its various aspects. This promotes conceptual understanding, as opposed to spiral curricula that often tend to jump from topic to topic too much.Very little teacher preparation is required.The curriculum has no separate teacher's manual nor is it scripted. The introduction to each chapter has some notes for the teacher concerning the material in the chapter. All the instruction is written directly to the student in the worktext, and there also exist accompanying videos where you can see Maria herself teach the material.After each chapter introduction, you will find a list of Internet links and resources (games, quizzes, animations, etc.) that can be used for fun, illustrations, and further practice.The curriculum meets and exceeds the Common Core standards. This is the full-color version; in other words, the inside pages are in full color. Please note this is a student worktext and does not contain answers.
Threatcasting
Impending technological advances will widen an adversary's attack plane over the next decade. Visualizing what the future will hold, and what new threat vectors could emerge, is a task that traditional planning mechanisms struggle to accomplish given the wide range of potential issues. Understanding and preparing for the future operating environment is the basis of an analytical method known as Threatcasting. It is a method that gives researchers a structured way to envision and plan for risks ten years in the future. Threatcasting uses input from social science, technical research, cultural history, economics, trends, expert interviews, and even a little science fiction to recognize future threats and design potential futures. During this human-centric process, participants brainstorm what actions can be taken to identify, track, disrupt, mitigate, and recover from the possible threats. Specifically, groups explore how to transform the future they desire into reality while avoiding anundesired future. The Threatcasting method also exposes what events could happen that indicate the progression toward an increasingly possible threat landscape. This book begins with an overview of the Threatcasting method with examples and case studies to enhance the academic foundation. Along with end-of-chapter exercises to enhance the reader's understanding of the concepts, there is also a full project where the reader can conduct a mock Threatcasting on the topic of "the next biological public health crisis." The second half of the book is designed as a practitioner's handbook. It has three separate chapters (based on the general size of the Threatcasting group) that walk the reader through how to apply the knowledge from Part I to conduct an actual Threatcasting activity. This book will be useful for a wide audience (from student to practitioner) and will hopefully promote new dialogues across communities and novel developments in the area.
Cluster Randomised Trials
Cluster Randomised Trials, Second Edition explores the advantages of cluster randomisation, with special attention given to evaluating the effects of interventions against infectious diseases. Avoiding unnecessary mathematical detail, it covers basic concepts underlying the use of cluster randomisation.
Ranking of Multivariate Populations
This book presents a novel permutation-based nonparametric approach for ranking several multivariate populations. Using data collected from both experimental and observation studies, it covers some of the most useful designs widely applied in research and industry investigations. The book introduces the main theoretical ideas of ranking multivar
Algorithms for a New World
Covid-19 has shown us the importance of mathematical and statistical models to interpret reality, provide forecasts, and explore future scenarios. Algorithms, artificial neural networks, and machine learning help us discover the opportunities and pitfalls of a world governed by mathematics and artificial intelligence.
Rational Sphere Maps
This monograph systematically explores the theory of rational maps between spheres in complex Euclidean spaces and its connections to other areas of mathematics. Synthesizing research from the last forty years, the author aims for accessibility by balancing abstract concepts with concrete examples. Numerous computations are worked out in detail, and more than 100 optional exercises are provided throughout for readers wishing to better understand challenging material.The text begins by presenting core concepts in complex analysis and a wide variety of results about rational sphere maps. The subsequent chapters discuss combinatorial and optimization results about monomial sphere maps, groups associated with rational sphere maps, relevant complex and CR geometry, and some geometric properties of rational sphere maps. Fifteen open problems appear in the final chapter, with references provided to appropriate parts of the text. These problemswill encourage readers to apply the material to future research.Rational Sphere Maps will be of interest to researchers and graduate students studying several complex variables and CR geometry. Mathematicians from other areas, such as number theory, optimization, and combinatorics, will also find the material appealing.See the author's research web page for a list of typos, clarifications, etc.: https: //faculty.math.illinois.edu/ jpda/research.html
Foundations of Information and Knowledge Systems
This book constitutes the refereed proceedings of the 12th International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2022, held in Helsinki, Finland, in June 2022. The 13 full papers presented were carefully reviewed and selected from 21 submissions. The papers address various topics such as information and knowledge systems, including submissions that apply ideas, theories or methods from specific disciplines to information and knowledge systems. Examples of such disciplines are discrete mathematics, logic and algebra, model theory, databases, information theory, complexity theory, algorithmics and computation, statistics and optimization.
Regression Analysis in R
This book covers the basic applications of multiple linear regression all the way through to more complex regression applications and extensions. Written for graduate level students of social science disciplines this book walks readers through bivariate correlation.
Data Science
Data Science: A First Introduction focuses on using the R programming language in Jupyter notebooks to perform data manipulation and cleaning, create effective visualizations, and extract insights from data using classification, regression, clustering, and inference. The text emphasizes workflows that are clear, reproducible, and shareable, and includes coverage of the basics of version control. All source code is available online, demonstrating the use of good reproducible project workflows. Based on educational research and active learning principles, the book uses a modern approach to R and includes accompanying autograded Jupyter worksheets for interactive, self-directed learning. The book will leave readers well-prepared for data science projects. The book is designed for learners from all disciplines with minimal prior knowledge of mathematics and programming. The authors have honed the material through years of experience teaching thousands of undergraduates in the University of British Columbia's DSCI100: Introduction to Data Science course.
Advances in Matrix Inequalities
This self-contained monograph unifies theorems, applications and problem solving techniques of matrix inequalities. In addition to the frequent use of methods from Functional Analysis, Operator Theory, Global Analysis, Linear Algebra, Approximations Theory, Difference and Functional Equations and more, the reader will also appreciate techniques of classical analysis and algebraic arguments, as well as combinatorial methods. Subjects such as operator Young inequalities, operator inequalities for positive linear maps, operator inequalities involving operator monotone functions, norm inequalities, inequalities for sector matrices are investigated thoroughly throughout this book which provides an account of a broad collection of classic and recent developments. Detailed proofs for all the main theorems and relevant technical lemmas are presented, therefore interested graduate and advanced undergraduate students will find the book particularly accessible. In addition to several areas of theoretical mathematics, Matrix Analysis is applicable to a broad spectrum of disciplines including operations research, mathematical physics, statistics, economics, and engineering disciplines. It is hoped that graduate students as well as researchers in mathematics, engineering, physics, economics and other interdisciplinary areas will find the combination of current and classical results and operator inequalities presented within this monograph particularly useful.
Statistical Hypothesis Testing in Context
Fay and Brittain present statistical hypothesis testing and compatible confidence intervals, focusing on application and proper interpretation. The emphasis is on equipping applied statisticians with enough tools - and advice on choosing among them - to find reasonable methods for almost any problem and enough theory to tackle new problems by modifying existing methods. After covering the basic mathematical theory and scientific principles, tests and confidence intervals are developed for specific types of data. Essential methods for applications are covered, such as general procedures for creating tests (e.g., likelihood ratio, bootstrap, permutation, testing from models), adjustments for multiple testing, clustering, stratification, causality, censoring, missing data, group sequential tests, and non-inferiority tests. New methods developed by the authors are included throughout, such as melded confidence intervals for comparing two samples and confidence intervals associated with Wilcoxon-Mann-Whitney tests and Kaplan-Meier estimates. Examples, exercises, and the R package asht support practical use.
A Million Nines
This is the sequel to A Million And One Random Digits. It contains 200 pages, each containing 50 lines that look like this: 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999 9999999999.
Pythagorean Theorem for Babies
The bestselling scientific series continues to expand! Fans of Chris Ferrie's Organic Chemistry for Babies, Rocket Science for Babies, and 8 Little Planets will love this introduction to the Pythagorean Theorem for babies and toddlers!It only takes a small spark to ignite a child's mind.Written by an expert, with mathematical information from an expert, this is the perfect book for enlightening the next generation of geniuses.From the #1 science author for kids comes this next installment in the bestselling Baby University series! Pythagorean Theorem for Babies gives babies (and grownups!) the answers to the common question: what is the Pythagorean Theorem and how can I prove it?With a tongue-in-cheek approach that adults will love, this installment of the Baby University board book series is the perfect way to introduce basic concepts to even the youngest mathematician. After all, it's never too early to start loving Math!If you're looking for the perfect math or science gift, or more Baby University books for your little one, look no further! Pythagorean Theorem for Babies offers fun early learning for your little mathematician!
Fast Track to Differential Equations
The second edition of this successful textbook includes a significantly extended chapter on Climate Change with an analysis of the CO2 budget. It also contains a completely new part on Epidemiology, treating the SEIR-model which describes the behavior and dynamics of epidemics. In particular, COVID-19 with actual data is discussed. This compact introduction to ordinary differential equations and their applications is aimed at anyone who in their studies is confronted voluntarily or involuntarily with this versatile subject. Numerous applications from physics, technology, biomathematics, cosmology, economy and optimization theory are given. Abstract proofs and unnecessary formalism are avoided as far as possible. The focus is on modelling ordinary differential equations of the first and second orders as well as their analytical and numerical solution methods, in which the theory is dealt with briefly before moving on to application examples. In addition, program codes show exemplarily how even more challenging questions can be tackled and represented meaningfully with the help of a computer algebra system. The first chapter deals with the necessary prior knowledge of integral and differential calculus. 103 motivating exercises together with their solutions round off the work. "I am happy to see such a book. It will serve as a support for many students, professors and faculty." Dr. Alessio Figalli, Professor at the ETH Z羹rich and Fields medalist 2018
Game-Theoretical Models in Biology
Covering the major topics of evolutionary game theory, this book presents both abstract and practical mathematical models of real biological situations. It discusses the static aspects of game theory in a mathematically rigorous way that is appealing to mathematicians. The text is also useful to biologists.
Differential Geometry of Curves and Surfaces
The book explains the reasons for various definitions. The interactive applets offer motivation for definitions, allowing students to explore examples, and give a visual explanation of complicated theorems. More elementary exercises are added and some challenging problems are moved later in exercise sets to assure more graduated progress.
Discovering Calculus
Learn Calculus, the easy way! This volume covers both differential and integral calculus, focusinging on conept, technique, and application: concept: a fresh perspective on the key concepts explained step-by-step in a way that students can understandtechnique: a few simple rules is all you need! A Calculus is a simple method for calculating, yet most other texts make it hopelessly confusing. It's actually meant to be easy. We state the key rules clearly and simply, do some examples, and carry on from there. application: this goes beyond any other text to prepare students for advanced courses in mathematics, science, and engineering. This book teaches the art of problem solving, covering a diverse range of interesting real-world applications.This text can be used as a two-semester applied calculus course for engineers, physicisits, and other students of the mathematical sciences. Be sure to check out our page Discovering Calculus on YouTube for free Calculus lectures and worked examples from the author. https: //bit.ly/3RfJ7QN
Stable Categories and Structured Ring Spectra
This comprehensive text focuses on the homotopical technology in use at the forefront of modern algebraic topology. Following on from a standard introductory algebraic topology sequence, it will provide students with a comprehensive background in spectra and structured ring spectra. Each chapter is an extended tutorial by a leader in the field, offering the first really accessible treatment of the modern construction of the stable category in terms of both model categories of point-set diagram spectra and infinity-categories. It is one of the only textbook sources for operadic algebras, structured ring spectra, and Bousfield localization, which are now basic techniques in the field, and the book provides a rare expository treatment of spectral algebraic geometry. Together the contributors -- Emily Riehl, Daniel Dugger, Clark Barwick, Michael A. Mandell, Birgit Richter, Tyler Lawson, and Charles Rezk -- offer a complete, authoritative source to learn the foundations of this vibrant area.
