• Mathematics

Makers of Mathematics


Author: Stuart Hollingdale
Publisher: Courier Corporation
ISBN: 0486450074
Category: Mathematics
Page: 439
View: 4049
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.

    • Mathematics

The Green Book of Mathematical Problems


Author: Kenneth Hardy,Kenneth S. Williams
Publisher: Courier Corporation
ISBN: 0486169456
Category: Mathematics
Page: 184
View: 7773
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.

    • Mathematics

Mathematics and the Physical World


Author: Morris Kline
Publisher: Courier Corporation
ISBN: 0486136310
Category: Mathematics
Page: 512
View: 6526
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.

    • Mathematics

Concepts of Modern Mathematics


Author: Ian Stewart
Publisher: Courier Corporation
ISBN: 0486134954
Category: Mathematics
Page: 368
View: 6411
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.

    • Mathematics

Linear Algebra


Author: Georgi? Evgen?evich Shilov
Publisher: Courier Corporation
ISBN: 9780486635187
Category: Mathematics
Page: 387
View: 6243
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.

    • Mathematics

Journey into Mathematics

An Introduction to Proofs
Author: Joseph J. Rotman
Publisher: Courier Corporation
ISBN: 0486151689
Category: Mathematics
Page: 256
View: 1859
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.

    • Mathematics

Coordinate Geometry


Author: Luther Pfahler Eisenhart
Publisher: Courier Corporation
ISBN: 0486442616
Category: Mathematics
Page: 298
View: 2938
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.

    • Science

Mathematics of the Incas

Code of the Quipu
Author: Marcia Ascher,Robert Ascher
Publisher: Courier Corporation
ISBN: 0486152707
Category: Science
Page: 176
View: 4892
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.

    • Mathematics

Vector Geometry


Author: Gilbert de B. Robinson
Publisher: Courier Corporation
ISBN: 0486321045
Category: Mathematics
Page: 192
View: 2755
Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

    • Mathematics

A Vector Space Approach to Geometry


Author: Melvin Hausner
Publisher: Courier Corporation
ISBN: 9780486404523
Category: Mathematics
Page: 397
View: 1204
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.

    • Mathematics

Challenging Math Problems


Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486795535
Category: Mathematics
Page: 112
View: 4966
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.

    • Games & Activities

The Big Brain Puzzle Book


Author: Terry Stickels
Publisher: Courier Dover Publications
ISBN: 0486802906
Category: Games & Activities
Page: 160
View: 1932
Originally published in 2009, with a new introduction.

    • Music

Musical Mathematics

On the Art and Science of Acoustic Instruments
Author: Cris Forster
Publisher: Chronicle Books
ISBN: 9780811874076
Category: Music
Page: 952
View: 7762
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.

    • Mathematics

The Invention of Infinity

Mathematics and Art in the Renaissance
Author: Judith Veronica Field
Publisher: Oxford University Press, USA
ISBN: 0198523947
Category: Mathematics
Page: 250
View: 5036
Fully illustrated, this story brings together the histories of arts and mathematics and shows how infinity at last acquired a precise mathematical meaning.

    • Mathematics

Philosophical Introduction to Set Theory


Author: Stephen Pollard
Publisher: Courier Dover Publications
ISBN: 0486797147
Category: Mathematics
Page: 192
View: 9856
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.

    • Biography & Autobiography

Birth of a Theorem

A Mathematical Adventure
Author: Cédric Villani
Publisher: Farrar, Straus and Giroux
ISBN: 0374710236
Category: Biography & Autobiography
Page: 272
View: 1166
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.

    • Mathematics

Mathematics in Civilization, Third Edition


Author: Howard L. Resnikoff,Raymond O. Wells, Jr.
Publisher: Courier Dover Publications
ISBN: 0486804496
Category: Mathematics
Page: 464
View: 8568
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.

    • Mathematics

An Introduction to Mathematical Reasoning


Author: Peter J. Eccles
Publisher: Cambridge University Press
ISBN: 9780521597180
Category: Mathematics
Page: 350
View: 1178
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.

    • Mathematics

Algebraic Logic


Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486810410
Category: Mathematics
Page: 272
View: 4274
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.

    • Science

A Concise History of Mathematics

Fourth Revised Edition
Author: Dirk J. Struik
Publisher: Courier Corporation
ISBN: 0486138887
Category: Science
Page: 256
View: 9736
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.