Advanced Applications of Multi-Criteria Decision-Making Methods in Operational Research
Analysis with Mathematica(r)
A computer algebra system such as Mathematica(R) is able to do much more than just numerics: This revised text shows how to tackle real mathematical problems from basic analysis. The reader learns how Mathematica(R) represents domains, qualifiers and limits to implement actual proofs - a requirement to unlock the huge potential of Mathematica(R) for a variety of applications.
The Great Math War
A "fascinating romp" (Johnjoe McFadden) and stirring account of the mathematicians who went looking for the bedrock philosophical foundations of their field and witnessed a house of cards collapse instead As the nineteenth century ended, mathematicians were celebrating a century of triumphs that--surprisingly--made clear how little they knew: What is the nature of infinity? Is math free from self-contradiction? And what does math have to do with reality? This was the Foundational Crisis in mathematics. In The Great Math War, Jason Socrates Bardi tells the story of three competing efforts by mathematicians to resolve it--and the firefight that ensued. Bertrand Russell thought we could achieve certainty if we treated math as an extension of logic. David Hilbert believed redemption lay in accepting mathematics as a formal game of arbitrary rules, no different from the moves and pieces in chess. And L. E. J. Brouwer argued math is entirely rooted in human intuition--and that math is not based on logic but rather logic is based on math. It was a bitter struggle, intellectually and personally, as the three vied to set the course for mathematics in the twentieth century. Set against the backdrop of international warfare unfolding alongside it, The Great Math War brings the Foundational Crisis to radiant life--and shows how it indelibly shaped twentieth-century intellectual life.
Multiple Integrals in Calculus
The book consists of eight chapters, each focusing on different aspects of multiple integrals and related topics in mathematical analysis.In Chapter 1, multiple integrals are defined and developed. The Jordan measure in n-dimensional unit balls is introduced, along with the definition and criteria for multiple integrals, as well as their properties. Chapter 2 delves into advanced techniques for computing multiple integrals. It introduces the Taylor formula, discusses linear maps on measurable sets, and explores the metric properties of differentiable maps. In Chapter 3, we focus on improper multiple integrals and their properties. The chapter deduces criteria for the integrability of functions of several variables and develops concepts such as improper integrals of nonnegative functions, comparison criteria, and absolute convergence. Chapter 4 investigates the Stieltjes integral and its properties. Topics covered include the differentiation of monotone functions of finite variation and the Helly principle of choice, as well as continuous functions of finite variation. Chapter 5 addresses curvilinear integrals, defining line integrals of both the first and second kinds. It also discusses the independence of line integrals from the path of integration. In Chapter 6, surface integrals of the first and second kinds are introduced. The chapter presents the Gauss-Ostrogradsky theorem and Stokes' formulas, along with advanced practical problems to practice these concepts.
Evidence for Dark Numbers
This book contains several arguments for the existence of dark numbers, i.e., numbers which cannot be manipulated as individuals but only collectively. Their existence depends on the premise of actual infinity. Whether actually infinite sets exist is unknown and cannot be proven; it can only be assumed as an axiom. But if actually infinite sets exist then dark elements are unavoidable. This concept helps to explain many paradoxes of set theory like Zeno's paradox or the paradox of the binary tree or the completely scattered space of the real axis.
The Hidden Poetry & Music of Mathematics for Teaching Professionals
When poetry and music are interlinked with mathematics to provide phenomenal strategies to teaching mathematics. This would invite a plethora of thinking beyond classical frames to exceptional intelligent practice for teaching mathematics, including thinking outside classical frames to innovatively and creatively teach mathematics. This book is an open invite to all teaching professionals of mathematics.
Compound Poisson Distributions
This book presents a comprehensive overview of compound Poisson distributions. All of the distributions listed in this book were derived, or invented, by the original authors as ""new"" statistical distributions, to fit a dataset(s) of experimental data. The properties of each newly proposed distribution were derived ab initio, sometimes with much effort by the original authors. Hence the title and motivation for this book: the primary focus here is the compound Poisson distributions themselves. We show that they are all exemplars of a common underlying formalism. General formulas (this includes both exact results and recurrences) are presented which apply to all compound Poisson distributions. In individual chapters, we apply that underlying formalism to selected compound Poisson distributions. We also derive new formulas not published in the literature. Having said the above, this book also presents a new technique for parameter estimation for a set of widely used compound Poisson distributions. The new technique is applied to several published experimental datasets, i.e. real data, not simulations. It yields equal or better fits to the data than those obtained by the original authors (in some cases, significantly better). Numerous graphs are plotted, to demonstrate the good/better fits obtained by the new technique. Hence this book contains not only pure theory, but also visually demonstrates the merits of the new formalism for fitting experimental data.
Wonderlic Math Workbook
Complete math workbook, prepared by exam experts, with over 200 questions. You have arrived!Here is everything you need to pass the WONDERLIC(R)! We have helped thousands of students and we can help you!WONDERLIC(R) Basic Skills Math Practice Questions and Tutorials for: Fractions, Decimals and PercentWord ProblemsBasic AlgebraBasic GeometryWonderlic is a registered trademark of WONDERLIC, INC CORPORATION, who are not involved in the pro-duction of, and do not endorse this product. You also receive: - Math Multiple-Choice Strategy - How to Study for a Math Test - How to make a WONDERLIC(R) study plan - How to Take a TestHere is what the WONDERLIC(R) Math Workbook can do for you: - Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the WONDERLIC(R) - Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.- Practice reduces test anxiety, one of the main reasons for low marks on an exam. - Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!You can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!You receive the benefit of our dedicated team of exam experts. All the material in the math workbook, including every practice question, are designed increase your score on the WONDERLIC(R) exam with the least amount of studying. Heard it all before? Maybe you have read this kind of thing before, and maybe feel you don't need it, and you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?I will be honest - it will require real effort and dedication, but if you are willing to focus your energy and devote the study time necessary, (don't worry - we help every step of the way) then before you know it you will be opening that letter of acceptance to the school or the job of your dreams. Do everything to get the best score on the WONDERLIC(R)!
SSAT Math Workbook
Over 200 SSAT(R) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! You have arrived! We have helped thousands of students and we can hlep you!SSAT(R) Math Practice Questions and Tutorials for: AlgebraBasic MathGeometryWord ProblemsProbabilityStatisticsSSAT(c) and the Specialized High School Admissions Test(c) are administered by the New York Department of Education, who are not involved in the produc-tion of, and do not endorse this publication.You also receive: - Math Multiple Choice Strategy - How to Study for a Math Test - How to make a SSAT(R) study plan - How to Take a TestHere is what the SSAT(R) Math Workbook can do for you: - Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the SSAT(R) math test.- Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.- Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.SSAT(R) Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.- Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.- Learn powerful multiple choice strategies designed by exam experts! Includes tips and multiple choice strategies to increase your score you won't find anywhere else!Practice Really Does Make Perfect! The more questions you see, the more likely you are to pass the test. And between our study guide and practice tests, you'll have over 200 practice questions that cover every category. Our SSAT(R) Math practice test questions have been developed by our dedicated team of experts. All the material in the study guide, including every practice question, are designed to engage your critical thinking skills needed to pass the test! Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
NLN PAX Math Workbook
Over 200 NLN PAX math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple-choice strategies! ou have arrived! We have helped thousands of students and we can help you! Practice questions and tutorials for: Basic MathFractions and DecimalsWord ProblemsMetric ConversionBasic AlgebraGeometrySpeed, Force and MomentumMode, Mean and MedianAnd more!NLN PAX and the National Nursing League are not involved in the production of, and do not endorse this publication.You also receive: Math Multiple Choice StrategyHow to Study for a Math TestHow to make a NLN PAX study planHow to Take a TestPlease note that the PAX RN is administered by the National League of Nursing which is not involved in the production of, and does not endorse, this product. Here is what the NLN PAX Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the NLN PAX math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.Practice tests are a critical self-assessment tool that reveals your strengths and weaknesses.NLN PAX Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book.Remember though, it only a few percentage points divide the PASS from the FAIL students!Even if our test tips increase your score by a few percentage points, isn't that worth it?
HOAE PSB Math Workbook
Over 200 PSB math practice questions, prepared by a dedicated team of exam experts!You have arrived! We have helped thousands of students and we can help you! Practice questions and tutorials for: Basic Math Fractions and DecimalsWord ProblemsMetric ConversionBasic AlgebraGeometrySpeed, Force and MomentumMode, Mean and MedianAnd more!The PSB Health Occupations Aptitude Exam is administered by the Psychological Services Bureau, who are not involved in the production of this book and do not endorse this product. You also receive: Math Multiple Choice StrategyHow to Study for a Math TestHow to make a PSB study planHow to Take a TestHere is what the PSB Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for the PSB math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.PSB Practice tests allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understand of the basic concepts behind the questions.Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!Heard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Artificial Intelligence Technologies for Education
This Reprint presents a collection of cutting-edge research and reviews on the application of artificial intelligence (AI) technologies in education, focusing on both theoretical advancements and practical implementations. It examines how AI can be leveraged to enhance personalized learning, support adaptive assessment, enable intelligent learning environments, and facilitate more effective human-computer interaction in educational contexts. The contributions cover a broad spectrum of topics, including student and cognitive modeling, educational data mining, natural language processing for educational purposes, learning analytics, and the design of automated assistants and intelligent tutoring systems.The works featured in this Reprint address key challenges and opportunities in integrating AI into diverse educational domains. They explore innovative methods and tools for analyzing learning data, delivering targeted instructional support, and adapting pedagogical strategies to meet the needs of individual learners. The collection also highlights the interplay between AI-driven systems and educators, emphasizing collaborative and human-centered approaches to technology-enhanced learning. By bringing together original research, comprehensive surveys, and case studies, this Reprint provides valuable insights into the evolving role of AI in shaping the future of education, making it a useful resource for researchers, practitioners, and policymakers alike.
Calculus I
This Calculus I workbook is designed to provide structure to the Peer-Led Team Learning (PLTL) Workshop. These materials, originally developed from courses at the University of Maine, Morehouse College, and Prince George's Community College in Maryland, have been tested and provide students with many valuable tools for success.Each unit in this publication falls into one of three categories: (1) a discovery workshop, best offered before discussion of a concept occurs in class, with the goal that your learning will be enhanced through discovering an idea with peers; (2) an exploratory workshop, best offered after a concept is discussed in class so you can explore concepts in more depth with the goal of deepening your understanding of the idea; (3) a review workshop that is offered so you can practice important skills. You may be asked to complete the entire workshop, or selected parts because of the extensive nature of the topic and/or time constraints.
Blueprints
"A stunning book ... a thrilling read" (Peter Frankopan) that reveals how creative people can harness the profound and productive relationship between mathematics and the arts When Shakespeare has the Three Witches cast Macbeth's lot, he uses something very weird to do it: not simply "eye of newt and toe of frog," but the number seven. And when Hamlet claims, "To be or not to be, that is the question," Shakespeare reaches for eleven. For Shakespeare, prime numbers were magical. And he is not alone. As Marcus du Sautoy showcases in Blueprints, creativity is inseparable from mathematics. The designs of Le Corbusier and Leonardo; the music of Glass, Bach, and Debussy; the wild visions of Dali, the choreography of Laban, the animation of Pixar--all are shot through with mathematics, from primes and fractals to the weirder worlds of Hamiltonian cycles and hyperbolic geometry. And Du Sautoy argues that the relationship runs both ways. Just as mathematics inspires new art, the artistic mindset is a necessity for discovering new mathematics. Blueprints will expand your mind, but more importantly, it shows how to ignite your imagination. Anyone who wants to create needs this book.
Master HiSET Math
HiSET Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived! We have helped thousands of students and we can help you! Over 200 HiSET math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! HiSET Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Real world problems with ratio and proportion One and two variable equations Solve quadratic equations given values or graphs Quadratic using different methods Basic Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations Real world problems using the properties of geometric shapesYou also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHiSET(R) is a registered trademark of the Educational Testing Service (ETS), who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
The Pattern of Change
One of life's most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
The Pattern of Change
One of life's most fundamental revelations is change. Presenting the fascinating view that pattern is the manifestation of change, this unique book explores the science, mathematics, and philosophy of change and the ways in which they have come to inform our understanding of the world. Through discussions on chance and determinism, symmetry and invariance, information and entropy, quantum theory and paradox, the authors trace the history of science and bridge the gaps between mathematical, physical, and philosophical perspectives. Change as a foundational concept is deeply rooted in ancient Chinese thought, and this perspective is integrated into the narrative throughout, providing philosophical counterpoints to customary Western thought. Ultimately, this is a book about ideas. Intended for a wide audience, not so much as a book of answers, but rather an introduction to new ways of viewing the world.
Modelling Order and Disorder
Modelling Order and Disorder: Integro-Differential Nonlinear Equations provides an overview of a general mathematical structure: integro-differential nonlinear equations. This mathematical structure provides a unified approach to model complex systems in social sciences, economics, biology, medicine, and other quantitative disciplines. The general aim of the book is to reflect possible organization and disorganization phenomena in the applied sciences, as well as to focus on non-local interactions.Features Applications to social, biological, and physical phenomena Suitable for researchers and post-graduate students Open questions and perspectives on future avenues of research
Partial Differential Equations
Partial Differential Equations: Foundations and Applications offers a clear, precise, and conceptually rich introduction to one of the most fundamental areas of mathematics. Far beyond abstract formalism, partial differential equations form the language through which the laws of nature are expressed, governing phenomena in physics, engineering, and the life sciences - from heat diffusion and wave propagation to fluid motion, electromagnetism, and quantum systems.This volume is designed for undergraduate and postgraduate students in mathematics, physics, and engineering, as well as for motivated self-learners and researchers seeking a unified and reliable reference. It balances mathematical depth with conceptual clarity, integrating theory and application so that abstract methods emerge from physical motivations.This book includes: Fundamental definitions, classification, and formation of partial differential equations First-order partial differential equations: method of characteristics, Lagrange's method, Charpit's method, and applications such as transport equations and Burgers' equation Second-order partial differential equations: classification into hyperbolic, parabolic, and elliptic types, canonical forms, and associated physical models Separation of variables and Sturm-Liouville theory, with orthogonal functions and eigenfunction expansions Fourier series and Fourier transforms, convergence theorems, Parseval's identity, and applications to the heat and wave equations The heat, wave, and Laplace equations in one or more dimensions, steady-state and time-dependent solutions, and coordinate-based techniques Laplace transform methods for problems on semi-infinite domains, impulsive sources, and delta function initial conditions Each chapter is structured to develop both analytical techniques and physical insight, supported by solved examples, graded exercises, and pedagogical explanations. Special attention is given to connecting mathematical derivations with their physical interpretations, ensuring the reader gains not only procedural skill but also a comprehensive insight of the underlying principles of the subject.
Master CUNY Math
CUNY(R) Math Mastery: Complete Tutorials & Practice Workbook with 300+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you! Over 200 CUNY(R) math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies! CUNY(R) Math Practice Questions and Tutorials for: Numerical SkillsScientific NotationExponents and Radicals Square RootFractions, Decimals and Percent Algebra World problems with ratio and proportion One and two variable equations quadratic using different methods Translate real world problems into quadratic equa-tions and solve Advanced Algebra Trigonometry Logarithms Sequences Simple Geometry Slope of a line Linear equations from a graph Perimeter, circumference and volume Pythagorean theorem Geometric transformations CUNY(R) is a registered trademark of the City University of New York, who are not involved in the production of, and do not endorse this product.Remember though, it only a few percentage points divide the PASS from the FAIL students! Even if our test tips increase your score by a few percentage points, isn't that worth it?
Banach Algebras and Harmonic Analysis
The book includes recent articles on various topics studied recently in Banach algebras and abstract harmonic analysis. On the Banach algebra side, the reader will find idempotents and socle of a Banach algebra; closed subspaces of a Banach space, including the classical sequence spaces, which are realized as the kernel of a bounded operator; the connection between the stable rank one and Dedekind-finite property of the algebra of operators on a Banach space; spectral synthesis properties in convolution Sobolev algebras on the real line. The harmonic analysis side includes a generalization of the famous Beurling theorem; groups with few finite-dimensional unitary representations; relations between ideals of the Figa-Talamanca Herz algebra of a locally compact group and ideals of Figa-Talamanca Herz algebra of its closed subgroup; the tame functionals on Banach algebras and in harmonic analysis; and cancellation, factorization, and isometries in algebras on a locally compact group. The book also includes four surveys written by leaders in the area of full sheaf cohomology theory for noncommutative C - algebras; one-parameter semigroups of bounded operators on a Banach space which are weakly continuous in the sense of Arveson.
Logarithmic And Other Mathematical Tables
This is a classic compilation of "Logarithmic And Other Mathematical Tables" by William Joseph Hussey. Designed as a reference for students, engineers, and professionals, this volume provides a comprehensive collection of logarithmic, trigonometric, and other essential mathematical tables. The tables are meticulously arranged for ease of use, making it an invaluable tool for calculations and problem-solving across various scientific and technical fields.Hussey's work stands as a testament to the precision and rigor of mathematical computation, offering an enduring resource for anyone requiring accurate and reliable tabular data. This edition preserves the original content, ensuring that the legacy of this essential reference continues to serve future generations.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Elements Of Spherical Trigonometry
"Elements of Spherical Trigonometry" by Augustus De Morgan is a comprehensive exploration of spherical trigonometry, designed for students and educators alike. This book provides a detailed examination of the principles and applications of trigonometry on the surface of a sphere, a crucial area of study for fields such as astronomy, navigation, and geodesy. De Morgan's clear and rigorous approach makes this text an invaluable resource for anyone seeking a solid understanding of this essential branch of mathematics.With meticulous explanations and numerous examples, this work serves as both a textbook and a reference guide. Its enduring value lies in its ability to demystify complex concepts, making it accessible to learners at various levels. Whether you are a student delving into the intricacies of spherical geometry or a professional requiring precise calculations on a spherical surface, this book offers the necessary tools and insights.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Differential and Integral Calculus, With Applications
"Differential and Integral Calculus, With Applications" offers a comprehensive exploration of calculus as it was understood in the late 19th century. Penned by the esteemed mathematician Sir George Greenhill, this text provides a detailed exposition of both differential and integral calculus, enriched with numerous applications to practical problems. This book is structured to guide the reader through the fundamental principles of calculus, building from basic concepts to more advanced techniques. Readers will appreciate Greenhill's rigorous approach and his commitment to clarity, making this work an invaluable resource for students and scholars alike. This edition preserves the original text's integrity, ensuring that modern readers can access the insights and methods of a bygone era of mathematical education.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
A Method of Integrating the Square Roots of Quadratics
"A Method of Integrating the Square Roots of Quadratics" by Henry T. Eddy delves into a specific area of integral calculus prevalent in the late 19th century. This treatise offers a focused examination of techniques for integrating square roots of quadratic expressions, providing a detailed exploration of mathematical methods relevant to the period. Originally published in 1872, this work provides insights into the mathematical practices and challenges of the time, offering a valuable resource for those interested in the history of mathematics and the evolution of calculus. Eddy's approach gives contemporary readers a glimpse into the analytical tools employed by mathematicians of the era.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Archiv Der Mathematik Und Physik
Archiv Der Mathematik Und Physik, Volume 23 presents a comprehensive collection of articles and discussions from the Berliner Mathematische Gesellschaft. This volume offers valuable insights into the mathematical and physical sciences as understood and developed during the period it was published. Featuring contributions from leading scholars and researchers of the time, the book covers a wide range of topics, reflecting the state-of-the-art in mathematical theories and physical experiments. Readers interested in the history of science, particularly the evolution of mathematical and physical thought, will find this volume an essential resource. The detailed expositions and rigorous analyses make "Archiv Der Mathematik Und Physik" a significant historical document, preserving the intellectual landscape of its era and showcasing the foundations upon which modern science was built.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
College Placement Math Workbook
College Placement Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!We have helped thousands of students and we can help you!Over 200 College math practice questions, prepared by a dedicated team of exam experts, with detailed answer key, Math shortcuts, tips and tricks, tutorials and multiple choice strategies!College Math Practice Questions and Tutorials for: Basic MathScientific NotationExponents and Radicals Square RootFractions, Decimals and PercentMeans, Median and ModesAlgebra Solve real world problems with ratio and proportion Solve one and two variable equations Identify and solve quadratic equations given values or graphs Solve quadratic using different methods Translate real world problems into quadratic equa-tions and solve Basic Geometry Slope of a line Identify linear equations from a graph Calculate perimeter, circumference and volume Solve problems using the Pythagorean theorem Determine geometric transformations You also receive: Math Multiple Choice Strategy- How to Study for a Math Test- How to make a study plan- How to Take a TestHeard it all before? Maybe you have heard this kind of thing before, and don't feel you need it. Maybe you are not sure if you are going to buy this book.Remember though, it only a few percentage points divide the PASS from the FAIL students!
Graphical And Mechanical Computation Part 1 Alignment Charts
Graphical and Mechanical Computation, Part 1: Alignment Charts, by Joseph Lipka, originally published in 1918, delves into the theory and construction of alignment charts, also known as nomograms. This comprehensive guide offers a detailed exploration of how these charts are used for solving equations graphically, making it an invaluable resource for engineers, mathematicians, and scientists. Lipka meticulously explains the underlying mathematical principles and provides numerous examples to illustrate the practical application of alignment charts in various fields. The book covers topics such as the representation of equations, the construction of scales, and the design of charts for specific functions. With its clear explanations and practical focus, this book remains a vital reference for anyone interested in the history and application of graphical computation methods.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
BC Police Math Workbook
BC Police Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!Over 200 BC Police (JIBC) Math practice questions, prepared by a dedicated team of exam experts, with Detailed answer keyMath shortcutsLinks to video tutorials Step-by-step solutionsMath tips and tricks Multiple choice strategies Math Practice Questions and easy-to-follow Tutorials for: Basic Math OperationsExponentsWord ProblemsBasic GeometryBasic AlgebraYou also receive: Math Multiple-Choice StrategyHow to Study for a Math TestHow to Take a TestYou can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!You receive the benefit of our dedicated team of exam experts. All the material in the math workbook, including every practice question, are designed increase your score on your exam with the least amount of studying. Heard it all before? Maybe you have read this kind of thing before, and maybe feel you don't need it, and you are not sure if you are going to buy this book. Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?I will be honest - it will require real effort and dedication, but if you are willing to focus your energy and devote the study time necessary, (don't worry - we help every step of the way) then before you know it you will be opening that letter of acceptance to the school or the job of your dreams.
The Quarterly Journal Of Pure And Applied Mathematics
"The Quarterly Journal Of Pure And Applied Mathematics, Volume 4" is a valuable resource for anyone interested in the historical development of mathematical thought and practice. This volume presents a collection of articles covering a wide range of topics in both pure and applied mathematics, offering insights into the mathematical landscape of the time. A significant addition to any mathematics library, this journal provides a glimpse into the evolution of mathematical ideas and their applications across various fields.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
An Elementary Course Of Plane Geometry And Mensuration
"An Elementary Course Of Plane Geometry And Mensuration" by Richard Wormell offers a comprehensive introduction to the fundamental principles of plane geometry and mensuration. Designed as a teaching resource, this book systematically explores geometric theorems and their applications, alongside practical exercises in measurement. Readers will gain a solid understanding of geometric concepts, enhancing their problem-solving skills through clear explanations and numerous examples. This classic text is ideal for students and educators seeking a structured approach to mastering the essentials of plane geometry and mensuration. Its enduring value lies in its accessibility and its focus on building a strong foundation in mathematical reasoning.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Cross-Diffusion Systems
The introduction of cross diffusivity opens many questions in the theory of reactiondiffusion systems. This book will be the first to investigate such problems presenting new findings for researchers interested in studying parabolic and elliptic systems where classical methods are not applicable. In addition, The Gagliardo-Nirenberg inequality involving BMO norms is improved and new techniques are covered that will be of interest. This book also provides many open problems suitable for interested Ph.D students.
Entire Blow-Up Solutions of Semilinear Elliptic Equations and Systems
We examine two problems concerning semilinear elliptic equations. We also give alternative conditions that ensure existence of nonnegative radial solutions blowing up at infinity. Similarly, for systems, we provide conditions on p, q, f and g that guarantee existence of nonnegative solutions on the entire space. In this case, the main requirement for f and g will be closely related to a growth requirement known as the Keller-Osserman condition. Further, we demonstrate the existence of solutions blowing up at infinity and describe a setof initial conditionsthat would generate such solutions. Lastly, we examine several specific equations and systems numerically to graphically demonstrate the results of our analysis.This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Field Theory
This book, Field Theory, is the collection of the lecture notes describing abstract concepts on field extensions including algebraic and transcendental field extensions, splitting field and algebraic closure, the fundamental theorem of Galois theory, separable and normal extension, and finite fields. It provides definitions, examples, theorems, and proofs of the abstract algebraic concepts of field on the aforementioned topics in simple language. The proofs of such abstraction given in this books are written from the perspective of students as much as possible.
Adult Math Mastery
Adult Math Mastery: Complete Tutorials & Practice Workbook with 200+ QuestionsYou have arrived!Here is everything you need to pass this tough test!Over 200 Adult Math practice questions, prepared by a dedicated team of exam experts, with Detailed answer keyMath shortcutsLinks to video tutorialsStep-by-step solutionsMath tips and tricksMultiple choice strategiesMath Practice Questions and easy-to-follow Tutorials for: Fractions, Decimals and PercentWord ProblemsBasic AlgebraBasic GeometryYou also receive: - Math Multiple-Choice Strategy- How to Study for a Math Test- How to Take a TestHere is what this Math Workbook can do for you: Learn then practice your math skills! Practice test questions are the best way to prepare for an exam and this is the book that you need to fully prepare for your math test.Practice Tests familiarize you with the exam format and types of questions, giving you more confidence when you take the exam.Practice questions allow you to practice your exam time management - a critical exam-writing skill that can easily improve your grade substantially.Practice tests reduce Test Anxiety, one of the main reasons for low marks on an exam. Hundreds of questions with detailed solutions and explanations to improve your understanding of the basic concepts behind the questions.Learn powerful multiple-choice strategies designed by exam experts! Includes tips and multiple-choice strategies to increase your score you won't find anywhere else!You can get a Great Score with the Least Amount of Studying! Study Smarter, Not Harder!Remember though, it only a few percentage points divide the PASS from the FAIL students. Even if our test tips increase your score by a few percentage points, isn't that worth it?
7th Grade New Mexico Math for Beginners
New Mexico Grade 7 MathComprehensive & Aligned with New Mexico Math StandardsBuild strong math skills and boost confidence with this complete Grade 7 workbook designed for New Mexico students. Fully aligned with New Mexico College and Career Readiness Standards, this resource supports classroom instruction, homeschooling, and independent study, while providing focused practice for the NM-MSSA (New Mexico Measures of Student Success and Achievement) math assessment.Inside, students will find clear, step-by-step lessons covering essential Grade 7 topics such as ratios, proportional relationships, expressions, equations, geometry, and data analysis. Real-world examples and NM-MSSA-style practice questions throughout help students sharpen problem-solving skills and prepare effectively for test day.✔️ Covers all key Grade 7 New Mexico math standards ✔️ Includes NM-MSSA-style practice problems for targeted test prep ✔️ Ideal for homeschoolers, tutors, and classroom learners ✔️ Supports independent study with clear explanations and review sectionsWhether used for ongoing learning or focused NM-MSSA prep, this workbook guides New Mexico students to math success with confidence.Mathfa - Trusted by families, recommended by educators.
Love Triangle
AN INSTANT NEW YORK TIMES BESTSELLER! An ode to triangles, the shape that makes our lives possible Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it. In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable. To prove his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich, fall in love, measure tall buildings in a few awkward bounds, and make some unusual art. Along the way, he tells extraordinary and entertaining stories of the mathematicians, engineers, and philosophers--starting with Pythagoras--who dared to take triangles seriously. This is the guide you should have had in high school--a lively and definitive answer to "Why do I need to learn about trigonometry?" Parker reveals triangles as the hidden pattern beneath the surface of the contemporary world. Like love, triangles actually are all around. And in the air. And they're all you need.
Model Theory, Computer Science, and Graph Polynomials
This festschrift honors Johann A. Makowsky on the occasion of his 75th birthday. Gathering 24 research articles authored by scientific companions, friends, and colleagues, it covers a broad variety of areas to which Johann A. Makowsky made significant contributions himself. These include several areas of mathematical logic and its relevance for Computer Science including Graph polynomials, Algorithms for graph invariants, Algorithms and descriptive complexity theory, complexity of real and algebraic computations, Mathematical logic, Model theory, Design and theory of databases, Logic in computer science and AI and Logic programming. The volume is enriched with 4 biographical essays, and two contributions by the celebrant himself.
Eleven-Digit Regular Sexagesimals and Their Recipricols
This is a print on demand edition of an important, hard-to-find publication. Illustration.
An Invitation to Real Analysis
Adopting a student-centered approach, this book anticipates and addresses the common challenges that students face when learning abstract concepts like limits, continuity, and inequalities. The text introduces these concepts gradually, giving students a clear pathway to understanding the mathematical tools that underpin much of modern science and technology. In addition to its focus on accessibility, the book maintains a strong emphasis on mathematical rigor. It provides precise, careful definitions and explanations while avoiding common teaching pitfalls, ensuring that students gain a deep understanding of core concepts, and blending algebraic and geometric perspectives to help students see the full picture. The theoretical results presented in the book are consistently applied to practical problems. By providing a clear and supportive introduction to real analysis, the book equips students with the tools they need to confidently engage with both theoretical mathematics and its wide array of practical applications.Features Student-Friendly Approach making abstract concepts relatable and engaging Balanced Focus combining algebraic and geometric perspectives Comprehensive Coverage: Covers a full range of topics, from real numbers and sequences to metric spaces and approximation theorems, while carefully building upon foundational concepts in a logical progression Emphasis on Clarity: Provides precise explanations of key mathematical definitions and theorems, avoiding common pitfalls in traditional teaching Perfect for a One-Semester Course: Tailored for a first course in real analysis Problems, exercises and solutions
