Author: Stuart Hollingdale

Publisher: Courier Corporation

ISBN: 0486450074

Category: Mathematics

Page: 439

View: 3206

Each chapter of this portrait of the evolution of mathematics examines the work of an individual — Archimedes, Descartes, Fermat, Pascal, Newton, Einstein, and others — to explore the mathematics of his era. Rather than a series of biographical profiles, readers encounter an accessible chronology of pioneering developments in mathematics. 1989 edition.
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Author: Kenneth Hardy,Kenneth S. Williams

Publisher: Courier Corporation

ISBN: 0486169456

Category: Mathematics

Page: 184

View: 9804

Rich selection of 100 practice problems — with hints and solutions — for students preparing for the William Lowell Putnam and other undergraduate-level mathematical competitions. Features real numbers, differential equations, integrals, polynomials, sets, other topics. Hours of stimulating challenge for math buffs at varying degrees of proficiency. References.
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Author: Morris Kline

Publisher: Courier Corporation

ISBN: 0486136310

Category: Mathematics

Page: 512

View: 320

Stimulating account of development of mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations, and non-Euclidean geometries. Also describes how math is used in optics, astronomy, and other phenomena.
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Author: Ian Stewart

Publisher: Courier Corporation

ISBN: 0486134954

Category: Mathematics

Page: 368

View: 992

In this charming volume, a noted English mathematician uses humor and anecdote to illuminate the concepts of groups, sets, subsets, topology, Boolean algebra, and other mathematical subjects. 200 illustrations.
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Author: Georgi? Evgen?evich Shilov

Publisher: Courier Corporation

ISBN: 9780486635187

Category: Mathematics

Page: 387

View: 865

Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.
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An Introduction to Proofs

Author: Joseph J. Rotman

Publisher: Courier Corporation

ISBN: 0486151689

Category: Mathematics

Page: 256

View: 6696

This treatment covers the mechanics of writing proofs, the area and circumference of circles, and complex numbers and their application to real numbers. 1998 edition.
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Author: Melvin Hausner

Publisher: Courier Corporation

ISBN: 0486137856

Category: Mathematics

Page: 416

View: 6601

This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.
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Author: Luther Pfahler Eisenhart

Publisher: Courier Corporation

ISBN: 0486442616

Category: Mathematics

Page: 298

View: 5755

A thorough, complete, and unified introduction, this volume affords exceptional insights into coordinate geometry. Invariants of conic sections and quadric surfaces receive full treatments. Algebraic equations on the first degree in two and three unknowns are carefully reviewed. Throughout the book, results are formulated precisely, with clearly stated theorems. More than 500 helpful exercises. 1939 edition.
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Code of the Quipu

Author: Marcia Ascher,Robert Ascher

Publisher: Courier Corporation

ISBN: 0486152707

Category: Science

Page: 176

View: 3841

Unique, thought-provoking study discusses quipu, an accounting system employing knotted, colored cords, used by Incas. Cultural context, mathematics involved, and even how to make a quipu. Over 125 illustrations.
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Author: Terry Stickels

Publisher: Courier Dover Publications

ISBN: 0486795535

Category: Mathematics

Page: 112

View: 6725

This best-of compilation features 101 of the most entertaining and challenging math puzzles ever published. No advanced knowledge of mathematics is necessary, just solid thinking and puzzle-solving skills. Includes complete solutions.
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Author: Terry Stickels

Publisher: Courier Dover Publications

ISBN: 0486802906

Category: Games & Activities

Page: 160

View: 1170

Originally published in 2009, with a new introduction.
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On the Art and Science of Acoustic Instruments

Author: Cris Forster

Publisher: Chronicle Books

ISBN: 9780811874076

Category: Music

Page: 952

View: 1823

Musical Mathematics is the definitive tome for the adventurous musician. Integrating mathematics, music history, and hands-on experience, this volume serves as a comprehensive guide to the tunings and scales of acoustic instruments from around the world. Author, composer, and builder Cris Forster illuminates the mathematical principles of acoustic music, offering practical information and new discoveries about both traditional and innovative instruments.With this knowledge readers can improve, or begin to build, their own instruments inspired by Forster's creationsshown in 16 color plates. For those ready to step outside musical conventions and those whose curiosity about the science of sound is never satisfied, Musical Mathematics is the map to a new musical world.
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A Mathematical Adventure

Author: Cédric Villani

Publisher: Farrar, Straus and Giroux

ISBN: 0374710236

Category: Biography & Autobiography

Page: 272

View: 7197

In 2010, French mathematician Cédric Villani received the Fields Medal, the most coveted prize in mathematics, in recognition of a proof which he devised with his close collaborator Clément Mouhot to explain one of the most surprising theories in classical physics. Birth of a Theorem is Villani's own account of the years leading up to the award. It invites readers inside the mind of a great mathematician as he wrestles with the most important work of his career. But you don't have to understand nonlinear Landau damping to love Birth of a Theorem. It doesn't simplify or overexplain; rather, it invites readers into collaboration. Villani's diaries, emails, and musings enmesh you in the process of discovery. You join him in unproductive lulls and late-night breakthroughs. You're privy to the dining-hall conversations at the world's greatest research institutions. Villani shares his favorite songs, his love of manga, and the imaginative stories he tells his children. In mathematics, as in any creative work, it is the thinker's whole life that propels discovery—and with Birth of a Theorem, Cédric Villani welcomes you into his.
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Author: Stephen Pollard

Publisher: Courier Dover Publications

ISBN: 0486797147

Category: Mathematics

Page: 192

View: 3982

This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.
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Author: Howard L. Resnikoff,Raymond O. Wells, Jr.

Publisher: Courier Dover Publications

ISBN: 0486804496

Category: Mathematics

Page: 464

View: 6229

Space flight, computers, lasers, and information technology ― these are but a few examples of the spectacular growth, development, and far-reaching applications of mathematics. But what of the field's past? Upon which intellectual milestones were the foundations of modern mathematics constructed? How has our comprehension of the physical universe, language, and the nature of thought itself been influenced and informed by the developments of mathematics through the ages? This lucid presentation examines how mathematics shaped and was shaped by the course of human events. In a format suited to college-level studies as well as popular reading, the book explores trigonometry, navigation, cartography, logarithms, algebra, and calculus through ancient, medieval, post-Renaissance, and modern times. Solutions to problems appear at the end of each chapter, and this edition has been newly expanded to include a supplement on events in mathematics since the 1985 publication of the first Dover edition. Acclaimed by Telegraphic Reviews as "an exceptionally good liberal arts math text," this highly readable treatment makes a technical subject vividly fascinating.
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Author: Peter J. Eccles

Publisher: Cambridge University Press

ISBN: 9780521597180

Category: Mathematics

Page: 350

View: 2439

This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
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Author: Paul R. Halmos

Publisher: Courier Dover Publications

ISBN: 0486810410

Category: Mathematics

Page: 272

View: 7510

Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index.
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Author: Walter A. Shewhart

Publisher: Courier Corporation

ISBN: 048617087X

Category: Mathematics

Page: 176

View: 3717

Important text offers lucid explanation of how to regulate variables and maintain control over statistics in order to achieve quality control over manufactured products, crops and data. First inexpensive paperback edition.
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Fourth Revised Edition

Author: Dirk J. Struik

Publisher: Courier Corporation

ISBN: 0486138887

Category: Science

Page: 256

View: 8687

Compact, well-written survey ranges from the ancient Near East to 20th-century computer theory, covering Archimedes, Pascal, Gauss, Hilbert, and many others. "A work which is unquestionably one of the best." — Nature.
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Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics

Author: Martin Gardner

Publisher: W. W. Norton & Company

ISBN: 9780393020236

Category: Games

Page: 724

View: 2910

The author presents a selection of pieces from his Scientific American "Mathematical Games" column, presenting puzzles and concepts that range from arithmetic and geometrical games to the meaning of M.C. Escher's artwork.
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