New Books Purchased by Campbell Library

by Daniel Kipnis on 2021-12-15T09:45:00-05:00 | 0 Comments

Numerical Linear Algebra by Lloyd N. Trefethen; David Bau

ISBN: 9780898713619

Publication Date: 1997-01-01

Numerical Linear Algebra is a concise, insightful, and elegant introduction to the field of numerical linear algebra. Designed for use as a stand-alone textbook in a one-semester, graduate-level course in the topic, it has already been class-tested by MIT and Cornell graduate students from all fields of mathematics, engineering, and the physical sciences. The authors' clear, inviting style and evident love of the field, along with their eloquent presentation of the most fundamental ideas in numerical linear algebra, make it popular with teachers and students alike. Numerical Linear Algebra aims to expand the reader's view of the field and to present the core, standard material in a novel way. It is a perfect companion volume to the encyclopedic treatment of the topic that already exists in Golub and Van Loan's now-classic Matrix Computations. All of the most important topics in the field, including iterative methods for systems of equations and eigenvalue problems and the underlying principles of conditioning and stability, are covered. Trefethen and Bau offer a fresh perspective on these and other topics, such as an emphasis on connections with polynomial approximation in the complex plane. It is presented in the form of 40 lectures, each of which focuses on one or two central ideas. Throughout, the authors emphasize the unity between topics, never allowing the reader to get lost in details and technicalities. The book breaks with tradition by beginning not with Gaussian elimination, but with the QR factorization--a more important and fresher idea for students, and the thread that connects most of the algorithms of numerical linear algebra, including methods for least squares, eigenvalue, and singular value problems, as well as iterative methods for all of these and for systems of equations. Students will benefit from the many exercises that follow each lecture. Well-chosen references and extensive notes enrich the presentation and provide historical context.

Adventures in Recreational Mathematics by David Singmaster

ISBN: 9811225648

Publication Date: 2020-12-01

"The author believes in the presentation and teaching of mathematics as recreation. When the Rubik's Cube took off in 1978, based on thinly disguised mathematics, he became seriously interested in mathematical puzzles which would provide mental stimulation for students and professional mathematicians. In these 2-volume books, the readers shall have an adventure into previously unknown origins of ancient puzzles, which could be traced back to their Medieval, Chinese, Arabic and Indian sources. The puzzles are fully described, many with illustrations, adding interest to their history and relevance to contemporary mathematical concepts"

Becoming a Data Head by Alex J. Gutman; Jordan Goldmeier

ISBN: 1119741769

Publication Date: 2021-04-13

"Turn yourself into a Data Head. You'll become a more valuable employee and make your organization more successful." Thomas H. Davenport, Research Fellow, Author of Competing on Analytics, Big Data @ Work, and The AI Advantage You've heard the hype around data--now get the facts. In Becoming a Data Head: How to Think, Speak, and Understand Data Science, Statistics, and Machine Learning, award-winning data scientists Alex Gutman and Jordan Goldmeier pull back the curtain on data science and give you the language and tools necessary to talk and think critically about it. You'll learn how to: Think statistically and understand the role variation plays in your life and decision making Speak intelligently and ask the right questions about the statistics and results you encounter in the workplace Understand what's really going on with machine learning, text analytics, deep learning, and artificial intelligence Avoid common pitfalls when working with and interpreting data Becoming a Data Head is a complete guide for data science in the workplace: covering everything from the personalities you'll work with to the math behind the algorithms. The authors have spent years in data trenches and sought to create a fun, approachable, and eminently readable book. Anyone can become a Data Head--an active participant in data science, statistics, and machine learning. Whether you're a business professional, engineer, executive, or aspiring data scientist, this book is for you.

The Art and Practice of Mathematics by Yu Kiang Leong; National University of Singapore, Institute for Mathematical Sciences Staff (Contribution by)

ISBN: 9811219583

Publication Date: 2020-07-01

"Showcases interviews of distinguished mathematicians and scientists who have visited the Institute An excellent primary source of information on the early development of ideas from the creators and pioneers in core areas of pure and applied mathematics, computer science, mathematical physics and financial mathematics Also gives the non-specialist some idea of the main issues in those fields The contributors to this volume are leaders in their fields who have made fundamental and ground-changing advances. Their personal revelations throw some light on the social milieu they were in and on the role of nature versus nurture in human achievements"

Lewis Carrolls Cats and Rats ... and Other Puzzles with Interesting Tails by Yossi Elran

ISBN: 9789811233968

Publication Date: 2021-06-01

British-Israeli recreational mathematician, communicator and educator, Yossi Elran explores in-depth six of the most ingenious math puzzles, exposing their long 'tails': the stories, trivia, quirks and oddities of their history and, of course, the math and mathematicians behind them. In his unique 'talmudic', associative way, Elran shows the hidden connections between Lewis Carroll's 'Cats and Rats' puzzle and the math of taxi driving, a number pyramid magic trick and Hollywood movie fractals, and even how packing puzzles are related to COVID-19!Elran has a great talent for explaining difficult topics -- including quantum mechanics, a topic he relates to some original 'operator' puzzles -- making the book very accessible for all audiences.With over 40 additional, original puzzles, and touching on dozens of hot math topics, this is a perfect book for math lovers, educators, kids and adults, and anyone who loves a great read.Yossi Elran is co-author of our bestselling The Paper Puzzle Book, and heads the Innovation Center at the Davidson Institute of Science Education, the educational arm of the world-renowned Weizmann Institute of Science in Israel.

Learning Trigonometry by Problem Solving by Alexander Rozenblyum

ISBN: 9811231206

Publication Date: 2021-03-01

"In this book, trigonometry is presented mainly through the solution of specific problems. The problems are meant to help the reader consolidate their knowledge of the subject. In addition, they serve to motivate and provide context for the concepts, definitions, and results as they are presented. In this way, it enables a more active mastery of the subject, directly linking the results of the theory with their applications. Some historical notes are also embedded in selected chapters. The problems in the book are selected from a variety of disciplines, such as physics, medicine, architecture, and so on. They include solving triangles, trigonometric equations, and their applications. Taken together, the problems cover the entirety of material contained in a standard trigonometry course which is studied in high school and college. We have also added some interesting, in our opinion, entertainment problems. To solve them, no special knowledge is required. While they are not directly related to the subject of the book, they reflect its spirit and contribute to a more lighthearted reading of the material"

Pre-Calculus, Calculus, and Beyond by Hung-hsi Wu

ISBN: 147045677X

Publication Date: 2020-12-30

This is the last of three volumes that, together, give an exposition of the mathematics of grades 9-12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K-12 as a totally transparent subject. This volume distinguishes itself from others of the same genre in getting the mathematics right. In trigonometry, this volume makes explicit the fact that the trigonometric functions cannot even be defined without the theory of similar triangles. It also provides details for extending the domain of definition of sine and cosine to all real numbers. It explains as well why radians should be used for angle measurements and gives a proof of the conversion formulas between degrees and radians. In calculus, this volume pares the technicalities concerning limits down to the essential minimum to make the proofs of basic facts about differentiation and integration both correct and accessible to school teachers and educators; the exposition may also benefit beginning math majors who are learning to write proofs. An added bonus is a correct proof that one can get a repeating decimal equal to a given fraction by the "long division" of the numerator by the denominator. This proof attends to all three things all at once: what an infinite decimal is, why it is equal to the fraction, and how long division enters the picture. This book should be useful for current and future teachers of K-12 mathematics, as well as for some high school students and for education professionals.

A Focus on Ratios and Proportions by Marjorie M. Petit; Robert E. Laird; Matthew F. Wyneken; Frances R. Huntoon; Mary D. Abele-Austin; Jean D. Sequeira

ISBN: 9780429353611

Publication Date: 2020-05-17

This resource offers a groundbreaking effort to make mathematics education research on ratios and proportions readily accessible and understandable to preservice and in-service teachers of grades 6 to 8. Using extensive annotated samples of student work and based on research gathered in the Ongoing Assessment Project (OGAP), A Focus on Ratios and Proportions teaches readers how students develop understanding and fluency involving ratio and proportion concepts. Special features include: A close focus on student work, including 150+ annotated pieces of student work, to help teachers improve their ability to recognize, assess and monitor their students' errors and misconceptions, as well as their developing conceptual understanding. A focus on the OGAP Ratios and Proportions Progression, based on research conducted with hundreds of teachers and thousands of pieces of student work. Sections on how Common Core State Standards for Math (CCSSM) are supported by math education research. Student work samples and vignettes to illuminate the research, as well as end of chapter Looking Back questions and Instructional Links, which allow teachers to analyze evidence of student thinking and strategies and consider instructional responses. An accompanying eResource, available online, offers an answer key as well as extensive explanation of the Looking Back questions. Like A Focus on Multiplication and Division and A Focus on Fractions, this book is designed to bridge the gap between what math education researchers know and what teachers need to know in order to better understand evidence in student work and make effective instructional decisions.

The Hacker and the State by Ben Buchanan

ISBN: 9780674987555

Publication Date: 2020-02-25

"One of the finest books on information security published so far in this century-easily accessible, tightly argued, superbly well-sourced, intimidatingly perceptive." -Thomas Rid, author of Active Measures "The best examination I have read of how increasingly dramatic developments in cyberspace are defining the 'new normal' of geopolitics in the digital age. Buchanan?captures the dynamics of all of this truly brilliantly." -General David Petraeus, former Director of the CIA and Commander of Coalition Forces in Iraq and Afghanistan Few national-security threats are as potent-or as nebulous-as cyber attacks. Ben Buchanan reveals how hackers are transforming spycraft and statecraft, catching us all in the crossfire, whether we know it or not. Ever since WarGames, we have been bracing for the cyberwar to come, conjuring images of exploding power plants and mass panic. But while cyber attacks are now disturbingly common, they don't look anything like we thought they would. Packed with insider information based on interviews, declassified files, and forensic analysis of company reports, The Hacker and the State sets aside fantasies of cyber-annihilation to explore the real geopolitical competition of the digital age. Tracing the conflict of wills and interests among modern nations, Ben Buchanan reveals little-known details of how China, Russia, North Korea, Britain, and the United States hack one another in a relentless struggle for dominance. His analysis moves deftly from underseas cable taps to underground nuclear sabotage, from blackouts and data breaches to billion-dollar heists and election interference. Buchanan brings to life this continuous cycle of espionage and deception, attack and counterattack, destabilization and retaliation. He explains why cyber attacks are far less destructive than we anticipated, far more pervasive, and much harder to prevent. With little fanfare and far less scrutiny, they impact our banks, our tech and health systems, our democracy, and every aspect of our lives. Quietly, insidiously, they have reshaped our national-security priorities and transformed spycraft and statecraft. The contest for geopolitical advantage has moved into cyberspace. The United States and its allies can no longer dominate the way they once did. The nation that hacks best will triumph.

Game Theory by Thomas S. Ferguson

ISBN: 9813227346

Publication Date: 2018-02-01

Game theory is a fascinating subject. We all know many entertaining games, such as chess, poker, tic-tac-toe, bridge, baseball, computer games -- the list is quite varied and almost endless. In addition, there is a vast area of economic games, discussed in Myerson (1991) and Kreps (1990), and the related political games Ordeshook (1986), Shubik (1982), and Taylor (1995)]. The competition between firms, the conflict between management and labor, the fight to get bills through congress, the power of the judiciary, war and peace negotiations between countries, and so on, all provide examples of games in action. There are also psychological games played on a personal level, where the weapons are words, and the payoffs are good or bad feelings Berne (1964)]. There are biological games, the competition between species, where natural selection can be modeled as a game played between genes Smith (1982)]. There is a connection between game theory and the mathematical areas of logic and computer science. One may view theoretical statistics as a two-person game in which nature takes the role of one of the players, as in Blackwell and Girshick (1954) and Ferguson (1968).Games are characterized by a number of players or decision makers who interact, possibly threaten each other and form coalitions, take actions under uncertain conditions, and finally receive some benefit or reward or possibly some punishment or monetary loss. In this text, we present various mathematical models of games and study the phenomena that arise. In some cases, we will be able to suggest what courses of action should be taken by the players. In others, we hope simply to be able to understand what is happening in order to make better predictions about the future.

Conversational Problem Solving by Richard P. Stanley

ISBN: 1470456354

Publication Date: 2020-08-06

This book features mathematical problems and results that would be of interest to all mathematicians, but especially undergraduates (and even high school students) who participate in mathematical competitions such as the International Math Olympiads and Putnam Competition. The format is a dialogue between a professor and eight students in a summer problem solving camp and allows for a conversational approach to the problems as well as some mathematical humor and a few nonmathematical digressions. The problems have been selected for their entertainment value, elegance, trickiness, and unexpectedness, and have a wide range of difficulty, from trivial to horrendous. They range over a wide variety of topics including combinatorics, algebra, probability, geometry, and set theory. Most of the problems have not appeared before in a problem or expository format. A Notes section at the end of the book gives historical information and references.

Mathematics Entertainment for the Millions by Alfred S. Posamentier

ISBN: 9811219907

Publication Date: 2020-09-01

"This book demonstrates to the general audience that mathematics can be entertaining and fun, rather than the sad reputation it has gained over decades from uninspired school instruction that is often devoid of enrichment or motivational considerations. The book is designed in such a way that a reader will need almost no special preparation in mathematics, but to recall some of the most basic concepts that were taught at the lower-secondary-grade level. Yet, by the same token, the book will hopefully open up doors for those less motivated in mathematics - to interest readers to investigate some of the topics presented and thereby enhance their knowledge of mathematics - something most general readers will not initially find possible, but we hope will be an end product of this book"

Rational Numbers to Linear Equations by Hung-hsi Wu

ISBN: 9781470456757

Publication Date: 2020-08-30

This is the first of three volumes that, together, give an exposition of the mathematics of grades 9-12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K-12 as a totally transparent subject. The present volume begins with fractions, then rational numbers, then introductory geometry that can make sense of the slope of a line, then an explanation of the correct use of symbols that makes sense of ``variables'', and finally a systematic treatment of linear equations that explains why the graph of a linear equation in two variables is a straight line and why the usual solution method for simultaneous linear equations ``by substitutions'' is correct. This book should be useful for current and future teachers of K-12 mathematics, as well as for some high school students and for education professionals.

Algebra and Geometry by Hung-hsi Wu

ISBN: 1470456761

Publication Date: 2020-11-30

This is the second of three volumes that, together, give an exposition of the mathematics of grades 9-12 that is simultaneously mathematically correct and grade-level appropriate. The volumes are consistent with CCSSM (Common Core State Standards for Mathematics) and aim at presenting the mathematics of K-12 as a totally transparent subject. The first part of this volume is devoted to the study of standard algebra topics: quadratic functions, graphs of equations of degree 2 in two variables, polynomials, exponentials and logarithms, complex numbers and the fundamental theorem of algebra, and the binomial theorem. Having translations and the concept of similarity at our disposal enables us to clarify the study of quadratic functions by concentrating on their graphs, the same way the study of linear functions is greatly clarified by knowing that their graphs are lines. We also introduce the concept of formal algebra in the study of polynomials with complex coefficients. The last three chapters in this volume complete the systematic exposition of high school geometry that is consistent with CCSSM. These chapters treat the geometry of the triangle and the circle, ruler and compass constructions, and a general discussion of axiomatic systems, including non-Euclidean geometry and the celebrated work of Hilbert on the foundations. This book should be useful for current and future teachers of K-12 mathematics, as well as for some high school students and for education professionals.

Calculus Reordered by David M. Bressoud

ISBN: 9780691181318

Publication Date: 2019-07-16

How our understanding of calculus has evolved over more than three centuries, how this has shaped the way it is taught in the classroom, and why calculus pedagogy needs to change Calculus Reordered takes readers on a remarkable journey through hundreds of years to tell the story of how calculus evolved into the subject we know today. David Bressoud explains why calculus is credited to seventeenth-century figures Isaac Newton and Gottfried Leibniz, and how its current structure is based on developments that arose in the nineteenth century. Bressoud argues that a pedagogy informed by the historical development of calculus represents a sounder way for students to learn this fascinating area of mathematics. Delving into calculus's birth in the Hellenistic Eastern Mediterranean--particularly in Syracuse, Sicily and Alexandria, Egypt--as well as India and the Islamic Middle East, Bressoud considers how calculus developed in response to essential questions emerging from engineering and astronomy. He looks at how Newton and Leibniz built their work on a flurry of activity that occurred throughout Europe, and how Italian philosophers such as Galileo Galilei played a particularly important role. In describing calculus's evolution, Bressoud reveals problems with the standard ordering of its curriculum: limits, differentiation, integration, and series. He contends that the historical order--integration as accumulation, then differentiation as ratios of change, series as sequences of partial sums, and finally limits as they arise from the algebra of inequalities--makes more sense in the classroom environment. Exploring the motivations behind calculus's discovery, Calculus Reordered highlights how this essential tool of mathematics came to be.

Invisible Women by Caroline Criado Perez

ISBN: 9781419729072

Publication Date: 2019-03-12

#1 International Bestseller Winner of the 2019 Financial Times and McKinsey Business Book of the Year Award Winner of the 2019 Royal Society Science Book Prize Data is fundamental to the modern world. From economic development, to healthcare, to education and public policy, we rely on numbers to allocate resources and make crucial decisions. But because so much data fails to take into account gender, because it treats men as the default and women as atypical, bias and discrimination are baked into our systems. And women pay tremendous costs for this bias, in time, money, and often with their lives. Celebrated feminist advocate Caroline Criado Perez investigates the shocking root cause of gender inequality and research in Invisible Women, diving into women's lives at home, the workplace, the public square, the doctor's office, and more. Built on hundreds of studies in the US, the UK, and around the world, and written with energy, wit, and sparkling intelligence, this is a groundbreaking, unforgettable exposé that will change the way you look at the world.

100 Years of Math Milestones by Stephan Ramon Garcia; Steven J. Miller

ISBN: 1470436523

Publication Date: 2019-07-30

This book is an outgrowth of a collection of 100 problems chosen to celebrate the 100th anniversary of the undergraduate math honor society Pi Mu Epsilon. Each chapter describes a problem or event, the progress made, and connections to entries from other years or other parts of mathematics. In places, some knowledge of analysis or algebra, number theory or probability will be helpful. Put together, these problems will be appealing and accessible to energetic and enthusiastic math majors and aficionados of all stripes.

Opt Art: From Mathematical Optimization to Visual Design by Robert Bosch

ISBN: 9780691164069

Publication Date: 2019-11-12

A fun and stunningly illustrated introduction to the art of linear optimization Linear optimization is a powerful modeling method for discovering the best solution to a problem among a set of available alternatives. It is one of today's most important branches of mathematics and computer science--and also a surprisingly rich medium for creating breathtaking works of art. Opt Art takes readers on an entertaining tour of linear optimization and its applications, showing along the way how it can be used to design visual art. Robert Bosch provides a lively and accessible introduction to the geometric, algebraic, and algorithmic foundations of optimization. He presents classical applications, such as the legendary Traveling Salesman Problem, and shows how to adapt them to make optimization art--opt art. Each chapter in this marvelously illustrated book begins with a problem or puzzle and demonstrates how the solution can be derived using a host of artistic methods and media, including 3D printing, laser cutting, and computer-controlled machining. Bosch focuses on mathematical modeling throughout--converting a problem into a workable mathematical form, solving it using optimization techniques, and examining the results, which can take the form of mosaics, line drawings, and even sculpture. All you need is some high-school algebra, geometry, and calculus to follow along. Featuring more than a hundred illustrations and photos of Bosch's own art, Opt Art demonstrates how mathematics and computing can be used to create beauty and express emotion through amazing works of art.

Women's Influence on Inclusion, Equity, and Diversity in STEM Fields by Ursula Thomas (Editor); Jill Drake (Editor)

ISBN: 9781522588702

Publication Date: 2019-05-31

Women are typically not well represented in STEM fields. These same women experience difficulties in advocacy and leadership, as well as hiring and promotion. Women of color, regardless of discipline, face this narrative daily and often throughout their entire careers. Women's Influence on Inclusion, Equity, and Diversity in STEM Fields seeks to critically examine the strategies that women across class and cultural groups use and the struggles they face in order to become successful in professional fields that include business, politics, science, technology, engineering, and mathematics. While highlighting topics that include higher education, workplace perceptions, and information literacy, this publication is ideal for public administrators, human resources professionals, sociologists, academicians, researchers, and students interested in gender studies, public administration, the biological sciences, psychology, computer science, and the STEM fields.

Dirichlet Series and Holomorphic Functions in High Dimensions by Andreas Defant; Domingo García; Manuel Maestre; Pablo Sevilla-Peris

ISBN: 9781108476713

Publication Date: 2019-08-08

Over 100 years ago Harald Bohr identified a deep problem about the convergence of Dirichlet series, and introduced an ingenious idea relating Dirichlet series and holomorphic functions in high dimensions. Elaborating on this work, almost twnety years later Bohnenblust and Hille solved the problem posed by Bohr. In recent years there has been a substantial revival of interest in the research area opened up by these early contributions. This involves the intertwining of the classical work with modern functional analysis, harmonic analysis, infinite dimensional holomorphy and probability theory as well as analytic number theory. New challenging research problems have crystallized and been solved in recent decades. The goal of this book is to describe in detail some of the key elements of this new research area to a wide audience. The approach is based on three pillars: Dirichlet series, infinite dimensional holomorphy and harmonic analysis.

Advancing Women in Academic STEM Fields Through Dual Career Policies and Practices by Marci R. McMahon; Marie T. Mora; Ala Qubbaj

ISBN: 9781641132428

Publication Date: 2018-07-01

Continuing to challenge American colleges and universities is the underrepresentation of women faculty in Science, Technology, Engineering, and Mathematics (STEM) fields, particularly Latinas and other underrepresented women of color. Advancing Women in Academic STEM Fields through Dual Career Policies and Practices, comprised of scholarly essays, case studies, and interviews, argues that to address equity issues related to women faculty, academic institutions should consider work-life perspectives, including dual careers, when designing faculty recruitment, retention, and advancement strategies. By connecting the topic of dual career hiring to gender and ethnicity, the volume extends the current research on work-life integration by sharing best practices and approaches that have worked among institutions of higher education while incorporating issues related to intersectionality.

A Student's Guide to Lagrangians and Hamiltonians by Patrick Hamill

ISBN: 1107042887

Publication Date: 2013-11-21

A concise but rigorous treatment of variational techniques, focussing primarily on Lagrangian and Hamiltonian systems, this book is ideal for physics, engineering and mathematics students. The book begins by applying Lagrange's equations to a number of mechanical systems. It introduces the concepts of generalized coordinates and generalized momentum. Following this the book turns to the calculus of variations to derive the Euler-Lagrange equations. It introduces Hamilton's principle and uses this throughout the book to derive further results. The Hamiltonian, Hamilton's equations, canonical transformations, Poisson brackets and Hamilton-Jacobi theory are considered next. The book concludes by discussing continuous Lagrangians and Hamiltonians and how they are related to field theory. Written in clear, simple language and featuring numerous worked examples and exercises to help students master the material, this book is a valuable supplement to courses in mechanics.

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