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Results for 'Mathematics'

The Princeton Companion to Mathematics

ISBN-10: 0691118809
ISBN-13: 9780691118802
Publisher: Princeton University Press
Author(s): N/A
Publication Date: 2008-09-28

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical...Read More

This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music--and much, much more.

Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics. Accessible in style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties.

Features nearly 200 entries, organized thematically and written by an international team of distinguished contributorsPresents major ideas and branches of pure mathematics in a clear, accessible styleDefines and explains important mathematical concepts, methods, theorems, and open problemsIntroduces the language of mathematics and the goals of mathematical researchCovers number theory, algebra, analysis, geometry, logic, probability, and moreTraces the history and development of modern mathematicsProfiles more than ninety-five mathematicians who influenced those working todayExplores the influence of mathematics on other disciplinesIncludes bibliographies, cross-references, and a comprehensive indexContributors incude:

Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger


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Math with Bad Drawings: Illuminating the Ideas That Shape Our Reality

ISBN-10: 9780316509039
ISBN-13: 9780316509039
Publisher: Black Dog & Leventhal
Author(s): Ben Orlin
Publication Date: 2018-09-18

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world.
In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols,...Read More

A hilarious reeducation in mathematics-full of joy, jokes, and stick figures-that sheds light on the countless practical and wonderful ways that math structures and shapes our world.
In Math With Bad Drawings, Ben Orlin reveals to us what math actually is; its myriad uses, its strange symbols, and the wild leaps of logic and faith that define the usually impenetrable work of the mathematician.
Truth and knowledge come in multiple forms: colorful drawings, encouraging jokes, and the stories and insights of an empathetic teacher who believes that math should belong to everyone. Orlin shows us how to think like a mathematician by teaching us a brand-new game of tic-tac-toe, how to understand an economic crises by rolling a pair of dice, and the mathematical headache that ensues when attempting to build a spherical Death Star.
Every discussion in the book is illustrated with Orlin's trademark "bad drawings," which convey his message and insights with perfect pitch and clarity. With 24 chapters covering topics from the electoral college to human genetics to the reasons not to trust statistics, Math with Bad Drawings is a life-changing book for the math-estranged and math-enamored alike.

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The Princeton Companion to Applied Mathematics

ISBN-10: 0691150397
ISBN-13: 9780691150390
Publisher: Princeton University Press
Author(s): N/A
Publication Date: 2015-09-15

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and...Read More

This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important equations, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more.

Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics.
Features nearly 200 entries organized thematically and written by an international team of distinguished contributorsPresents the major ideas and branches of applied mathematics in a clear and accessible wayExplains important mathematical concepts, methods, equations, and applicationsIntroduces the language of applied mathematics and the goals of applied mathematical researchGives a wide range of examples of mathematical modelingCovers continuum mechanics, dynamical systems, numerical analysis, discrete and combinatorial mathematics, mathematical physics, and much moreExplores the connections between applied mathematics and other disciplinesIncludes suggestions for further reading, cross-references, and a comprehensive index


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Mathematics: Its Content, Methods and Meaning (3 Volumes in One)

ISBN-10: 9780486409160
ISBN-13: 9780486409160
Publisher: Dover Publications
Author(s): A. D. Aleksandrov, A. N. Kolmogorov, M. A. Lavrent'ev
Publication Date: 1999-07-07

". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book Review
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses...Read More

". . . Nothing less than a major contribution to the scientific culture of this world." — The New York Times Book Review
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated developement. As Professor Morris Kline of  New York University noted, "This unique work presents the amazing panorama of  mathematics proper. It is the best answer in print to what mathematics contains both on the elementary and advanced levels."
Beginning with an overview and analysis of mathematics, the first of three major divisions of the book progresses to an exploration of analytic geometry, algebra, and ordinary differential equations. The second part introduces partial differential equations, along with theories of curves and surfaces, the calculus of variations, and functions of a complex variable. It furthur examines prime numbers, the theory of probability, approximations, and the role of computers in mathematics. The theory of functions of a real variable opens the final section, followed by discussions of linear algebra and nonEuclidian geometry, topology, functional  analysis, and groups and other algebraic systems.
Thorough, coherent explanations of each topic are further augumented by numerous illustrative figures, and every chapter concludes with a suggested reading list. Formerly issued as a three-volume set, this mathematical masterpiece is now available in a convenient and modestly priced one-volume edition, perfect for study or reference.
"This is a masterful English translation of a stupendous and formidable mathematical masterpiece . . ." — Social Science

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Mathematics An Illustrated History of Numbers (100 Ponderables)

ISBN-10: 9780985323042
ISBN-13: 9780985323042
Publisher: Shelter Harbor Press
Author(s): N/A
Publication Date: 2012-10-09

Legend has it that the first magic square, where all lines and diagonals add up to the same figure, was revealed more than 2,000 years ago when a river turtle appeared to have ancient Chinese numerals inscribed on sections of its shell. Patterns are everywhere in nature, and counting, measuring, and...Read More

Legend has it that the first magic square, where all lines and diagonals add up to the same figure, was revealed more than 2,000 years ago when a river turtle appeared to have ancient Chinese numerals inscribed on sections of its shell. Patterns are everywhere in nature, and counting, measuring, and calculating changes are as old as civilization itself, as are many of the theorems and laws of math. The Pythagorean Theorem was used to plot out fields for planting crops before the ancient Greek Pythagoras was even born, but the story begins long before that, with tally marks on rock and bone surviving from the Stone Age. Here is the essential guide to mathematics, an authoritative reference book and timeline that explores the work of history s greatest mathematicians. From the teasing genius of Pierre de Fermat, who said he knew the answers but rarely gave them up, to the fractal pattern discovered by Waclaw Sierpinski now used to plan the route a mailman takes, here are 100 landmark moments in this intensely rigorous discipline, seen through the eyes of the people who lived them. Glimpse the abstract landscape of infinite numbers and multi-dimensional shapes as you learn about the most famous math men of all. Pythagoras had a love of numbers so strong it led to a violent death. Then there is Fibonacci, whose guide for bookkeepers changed the way we add and Descartes, who took inspiration from a fly to convert numbers into shapes and back again, changing math forever. Over many centuries, great minds puzzled over the evidence and, step-by-step, edged ever closer to the truth. Behind every one of these breakthrough moments there s a story about a confounding puzzle that became a discovery and changed the way we see the world. Here are one hundred of the most significant and we call these Ponderables. In Mathematics: An Illustrated History of Numbers, you ll get a peak into the Imponderables, too, the mysteries yet to be solved that will one day lead great thinkers forward to an even greater understanding of the universe. Includes a removable fold-out concertina neatly housed in the back of the book. This fold-out provides a 12-page Timeline History of Mathematics that embeds the story in historical context and shows Who Did What When at a glance. The reverse side features some of the greatest mathematical enigmas and interesting facts about the world of numbers.

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Elementary and Middle School Mathematics: Teaching Developmentally (10th Edition)

ISBN-10: 9780134802084
ISBN-13: 9780134802084
Publisher: Pearson
Author(s): John A. Van de Walle, Karen S. Karp, Jennifer M. Bay-Williams
Publication Date: 2018-02-02

This handy reference is particularly useful for elementary teachers who are changing grade levels and special education teachers who teach multiple grades and multiple ability levels.


Guide teachers to help all PreK-8 learners make...Read More

This handy reference is particularly useful for elementary teachers who are changing grade levels and special education teachers who teach multiple grades and multiple ability levels.


Guide teachers to help all PreK-8 learners make sense of mathematics
Elementary and Middle School Mathematics: Teaching Developmentally illustrates how children learn mathematics, and then shows pre-service teachers the most effective methods of teaching PreK-8 math through hands-on, problem-based activities.


As you engage with the activities, you'll boost your own knowledge of the math and learn concrete, developmentally appropriate ways to incorporate problem-based tasks in your classroom. Examples of real student work and new common challenges and misconception tables help you visualize good mathematics instruction and assessment that supports and challenges all learners. An important reference to consult throughout your teaching career, this book reflects the Common Core State Standards and NCTM’s Principles to Actions, as well as current research and coverage of the latest teaching technology.


Also available with MyLab Education
MyLab™ is the teaching and learning platform that empowers instructors to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab personalizes the learning experience and improves results for each student. The interactive, authentic application exercises, video examples, math practice, and self-check assessments in MyLab Education for Elementary and Middle School Mathematics help future teachers build their understanding of math content and pedagogy.


NOTE: You are purchasing a standalone product; MyLab does not come packaged with this content. Students, if interested in purchasing this title with MyLab Education, ask your instructor to confirm the correct package ISBN and Course ID. Instructors, contact your Pearson rep for more information.


If you would like to purchase both the physical text and MyLab Education, search for:


0134800346 / 9780134800349 Elementary and Middle School Mathematics: Teaching Developmentally plus MyLab Education with Enhanced Pearson eText -- Access Card Package
Package consists of:

0134802063 / 9780134802060 MyLab Education with Pearson eText -- Access Card -- for Elementary and Middle School Mathematics: Teaching Developmentally
013480208X / 9780134802084 Elementary and Middle School Mathematics: Teaching Developmentally

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Concrete Mathematics: A Foundation for Computer Science (2nd Edition)

ISBN-10: 0201558025
ISBN-13: 9780201558029
Publisher: Addison-Wesley Professional
Author(s): Ronald L. Graham, Donald E. Knuth, Oren Patashnik
Publication Date: 1994-03-10

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate...Read More

This book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline.

Concrete Mathematics is a blending of CONtinuous and disCRETE mathematics. "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems." The subject matter is primarily an expansion of the Mathematical Preliminaries section in Knuth's classic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.

Major topics include:

Sums Recurrences Integer functions Elementary number theory Binomial coefficients Generating functions Discrete probability Asymptotic methods

This second edition includes important new material about mechanical summation. In response to the widespread use of the first edition as a reference book, the bibliography and index have also been expanded, and additional nontrivial improvements can be found on almost every page. Readers will appreciate the informal style of Concrete Mathematics. Particularly enjoyable are the marginal graffiti contributed by students who have taken courses based on this material. The authors want to convey not only the importance of the techniques presented, but some of the fun in learning and using them.


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History Mathematics 3e

ISBN-10: 0470525487
ISBN-13: 9780470525487
Publisher: Jossey-Bass
Author(s): Carl B. Boyer
Publication Date: 2011-01-11

The updated new edition of the classic and comprehensive guideto the history of mathematics

For more than forty years, A History of Mathematics hasbeen the reference of choice for those looking to learn about thefascinating history of humankind’s relationship with numbers,shapes, and...Read More

The updated new edition of the classic and comprehensive guideto the history of mathematics

For more than forty years, A History of Mathematics hasbeen the reference of choice for those looking to learn about thefascinating history of humankind’s relationship with numbers,shapes, and patterns. This revised edition features up-to-datecoverage of topics such as Fermat’s Last Theorem and thePoincaré Conjecture, in addition to recent advances inareas such as finite group theory and computer-aided proofs.

Distills thousands of years of mathematics into a single,approachable volumeCovers mathematical discoveries, concepts, and thinkers, fromAncient Egypt to the presentIncludes up-to-date references and an extensive chronologicaltable of mathematical and general historical developments.

Whether you're interested in the age of Plato and Aristotle orPoincaré and Hilbert, whether you want to know more about thePythagorean theorem or the golden mean, A History ofMathematics is an essential reference that will help youexplore the incredible history of mathematics and the men and womenwho created it.


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Mastering Essential Math Skills: 20 Minutes a Day to Success, Book 1: Grades 4-5

ISBN-10: 0966621131
ISBN-13: 9780966621136
Publisher: Math Essentials
Author(s): Richard W. Fisher
Publication Date: 2007-02-15

CHECK OUT THE NEW AND IMPROVED 3RD EDITION OF THIS BOOK. IT HAS BEEN COMPLETELY EDITED. A HANDY RESOURCE CENTER AND GLOSSARY HAVE ALSO BEEN ADDED TO MAXIMIZE LEARNING . ISBN#978-0999443378.

Used by hundreds of thousands of students each year.

Perfect Math For Students Who Are Math...Read More

CHECK OUT THE NEW AND IMPROVED 3RD EDITION OF THIS BOOK. IT HAS BEEN COMPLETELY EDITED. A HANDY RESOURCE CENTER AND GLOSSARY HAVE ALSO BEEN ADDED TO MAXIMIZE LEARNING . ISBN#978-0999443378.

Used by hundreds of thousands of students each year.

Perfect Math For Students Who Are Math Challenged.

Includes award-winning online video tutorials. One for each lesson in the Book.

Lessons are presented in a format that everyone can understand.

Each Lesson flows smoothly and logically to the next.

Each lesson is short, concise, and to the point

Lots of examples with step-by -step solutions.

Each lesson includes valuable Helpful Hints.

Review is built into each lesson. Students will retain what they have learned.

Each lesson includes Problem Solving. This ensures that students will learn to apply their knowledge to real-life-situations.

Includes solutions for each lesson.

Ten Chapters

Whole Numbers

Fractions

Decimals

Ratios, Proportions, Percents

Geometry

Number theory & Algebra

Integers

Charts & Graphs

Probability & Statistics

Word problems


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Lost in Math: How Beauty Leads Physics Astray

ISBN-10: 9780465094257
ISBN-13: 9780465094257
Publisher: Basic Books
Author(s): Sabine Hossenfelder
Publication Date: 2018-06-12

A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science
Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories...Read More

A contrarian argues that modern physicists' obsession with beauty has given us wonderful math but bad science
Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria. Worse, these "too good to not be true" theories are actually untestable and they have left the field in a cul-de-sac. To escape, physicists must rethink their methods. Only by embracing reality as it is can science discover the truth.


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