Mathematics

10967 books

$164.16

by Thomas Tymoczko (Editor)The traditional debate among philosophers of mathematics is whether there is an external mathematical reality, something out there to be discovered, or whether mathematics is the product of the human mind. This provocative book, now available in a revised and expanded paperback edition, goes beyond foundationalist questions to offer what has been called a "postmodern" assessment of the philosophy of mathematics--one that addresses issues of theoretical importance in...

Fearless Symmetry: Exposing the Hidden Patterns of Numbers - New Edition - Paperback

$37.00

by Avner Ash (Author), Robert Gross (Author)Mathematicians solve equations, or try to. But sometimes the solutions are not as interesting as the beautiful symmetric patterns that lead to them. Written in a friendly style for a general audience, Fearless Symmetry is the first popular math book to discuss these elegant and mysterious patterns and the ingenious techniques mathematicians use to uncover them. Hidden symmetries were first discovered nearly two hundred years ago by French mathemati...

$145.35

by Charles R. Maccluer (Author)This is the first modern calculus book to be organized axiomatically and to survey the subject's applicability to science and engineering. A challenging exposition of calculus in the European style, it is an excellent text for a first-year university honors course or for a third-year analysis course. The calculus is built carefully from the axioms with all the standard results deduced from these axioms. The concise construction, by design, provides maximal flexi...

Viewpoints: Mathematical Perspective and Fractal Geometry in Art - Hardcover

$119.70

by Marc Frantz (Author), Annalisa Crannell (Author)An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students. ...

$196.65

by Abraham Robinson (Author)Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the...

Topology from the Differentiable Viewpoint - Paperback

$92.34

by John Milnor (Author)This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and t...

Euler Systems. (Am-147), Volume 147 - Paperback

$177.84

by Karl Rubin (Author)One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations, Euler systems have since been used to solve several key problems. These include certain cases of the Birch and Swinnerton-Dy...

Philosophy of Mathematics and Natural Science - Paperback

$114.57

by Hermann Weyl (Author), Frank Wilczek (Introduction by)When mathematician Hermann Weyl decided to write a book on philosophy, he faced what he referred to as "conflicts of conscience"--the objective nature of science, he felt, did not mesh easily with the incredulous, uncertain nature of philosophy. Yet the two disciplines were already intertwined. In Philosophy of Mathematics and Natural Science, Weyl examines how advances in philosophy were led by scientific discoveries--the more humankin...

Differential Equations on Fractals: A Tutorial - Paperback

$153.90

by Robert S. Strichartz (Author)Differential Equations on Fractals opens the door to understanding the recently developed area of analysis on fractals, focusing on the construction of a Laplacian on the Sierpinski gasket and related fractals. Written in a lively and informal style, with lots of intriguing exercises on all levels of difficulty, the book is accessible to advanced undergraduates, graduate students, and mathematicians who seek an understanding of analysis on fractals. Robert Stri...

$138.51

by Charles Fefferman (Author), C. Robin Graham (Author)This book develops and applies a theory of the ambient metric in conformal geometry. This is a Lorentz metric in n+2 dimensions that encodes a conformal class of metrics in n dimensions. The ambient metric has an alternate incarnation as the Poincar metric, a metric in n+1 dimensions having the conformal manifold as its conformal infinity. In this realization, the construction has played a central role in the AdS/CFT correspondence in ph...

Computational Aspects of Modular Forms and Galois Representations: How One Can Compute in Polynomial Time the Value of Ramanujan's Tau at a Prime - Paperback

$177.84

by Bas Edixhoven (Editor), Jean-Marc Couveignes (Editor), Robin De Jong (Contribution by)Modular forms are tremendously important in various areas of mathematics, from number theory and algebraic geometry to combinatorics and lattices. Their Fourier coefficients, with Ramanujan's tau-function as a typical example, have deep arithmetic significance. Prior to this book, the fastest known algorithms for computing these Fourier coefficients took exponential time, except in some special cases. The...

Mathematics in Nature: Modeling Patterns in the Natural World - Paperback

$99.18

by John a. Adam (Author)From rainbows, river meanders, and shadows to spider webs, honeycombs, and the markings on animal coats, the visible world is full of patterns that can be described mathematically. Examining such readily observable phenomena, this book introduces readers to the beauty of nature as revealed by mathematics and the beauty of mathematics as revealed in nature. Generously illustrated, written in an informal style, and replete with examples from everyday life, Mathematics i...

How to Solve It: A New Aspect of Mathematical Method - Paperback

$20.95

by John H. Conway (Foreword by), G. Polya (Author)A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight. In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" out--from building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deft--indeed, brilliant--instructi...

Strange Curves, Counting Rabbits, & Other Mathematical Explorations - Paperback

$56.16

by Keith Ball (Author)How does mathematics enable us to send pictures from space back to Earth? Where does the bell-shaped curve come from? Why do you need only 23 people in a room for a 50/50 chance of two of them sharing the same birthday? In Strange Curves, Counting Rabbits, and Other Mathematical Explorations, Keith Ball highlights how ideas, mostly from pure math, can answer these questions and many more. Drawing on areas of mathematics from probability theory, number theory, and geometr...

The Classical Groups: Their Invariants and Representations - Paperback

$196.65

by Hermann Weyl (Author)In this renowned volume, Hermann Weyl discusses the symmetric, full linear, orthogonal, and symplectic groups and determines their different invariants and representations. Using basic concepts from algebra, he examines the various properties of the groups. Analysis and topology are used wherever appropriate. The book also covers topics such as matrix algebras, semigroups, commutators, and spinors, which are of great importance in understanding the group-theoretic stru...

The Mathematical Century: The 30 Greatest Problems of the Last 100 Years - Paperback

$59.85

by Piergiorgio Odifreddi (Author), Arturo Sangalli (Translator), Freeman Dyson (Foreword by)The twentieth century was a time of unprecedented development in mathematics, as well as in all sciences: more theorems were proved and results found in a hundred years than in all of previous history. In The Mathematical Century, Piergiorgio Odifreddi distills this unwieldy mass of knowledge into a fascinating and authoritative overview of the subject. He concentrates on thirty highlights of pure and ...

Lectures on Resolution of Singularities (Am-166) - Paperback

$128.25

by János Kollár (Author)Resolution of singularities is a powerful and frequently used tool in algebraic geometry. In this book, J nos Koll r provides a comprehensive treatment of the characteristic 0 case. He describes more than a dozen proofs for curves, many based on the original papers of Newton, Riemann, and Noether. Koll r goes back to the original sources and presents them in a modern context. He addresses three methods for surfaces, and gives a self-contained and entirely elementary pr...

Mathematical Aspects of Nonlinear Dispersive Equations - Paperback

$159.03

by Jean Bourgain (Editor), Carlos E. Kenig (Editor), Sergiu Klainerman (Editor)This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals wi...

Guesstimation: Solving the World's Problems on the Back of a Cocktail Napkin - Paperback

$19.95

by Lawrence Weinstein (Author), John a. Adam (Author)Guesstimation is a book that unlocks the power of approximation--it's popular mathematics rounded to the nearest power of ten The ability to estimate is an important skill in daily life. More and more leading businesses today use estimation questions in interviews to test applicants' abilities to think on their feet. Guesstimation enables anyone with basic math and science skills to estimate virtually anything--quickly--using plausible ass...

The Mathematics of the Heavens and the Earth: The Early History of Trigonometry - Hardcover

$128.25

by Glen Van Brummelen (Author)The Mathematics of the Heavens and the Earth is the first major history in English of the origins and early development of trigonometry. Glen Van Brummelen identifies the earliest known trigonometric precursors in ancient Egypt, Babylon, and Greece, and he examines the revolutionary discoveries of Hipparchus, the Greek astronomer believed to have been the first to make systematic use of trigonometry in the second century BC while studying the motions of the stars...

The Traveling Salesman Problem: A Computational Study - Hardcover

$196.65

by David L. Applegate (Author), Robert E. Bixby (Author), Vasek Chvátal (Author)This book presents the latest findings on one of the most intensely investigated subjects in computational mathematics--the traveling salesman problem. It sounds simple enough: given a set of cities and the cost of travel between each pair of them, the problem challenges you to find the cheapest route by which to visit all the cities and return home to where you began. Though seemingly modest, this exercise has in...

Pct, Spin and Statistics, and All That - Paperback

$114.57

by Raymond F. Streater (Author), Arthur S. Wightman (Author)PCT, Spin and Statistics, and All That is the classic summary of and introduction to the achievements of Axiomatic Quantum Field Theory. This theory gives precise mathematical responses to questions like: What is a quantized field? What are the physically indispensable attributes of a quantized field? Furthermore, Axiomatic Field Theory shows that a number of physically important predictions of quantum field theory are mathematical c...

The Mathematical Mechanic: Using Physical Reasoning to Solve Problems - Paperback

$18.95

by Mark Levi (Author)Everybody knows that mathematics is indispensable to physics--imagine where we'd be today if Einstein and Newton didn't have the math to back up their ideas. But how many people realize that physics can be used to produce many astonishing and strikingly elegant solutions in mathematics? Mark Levi shows how in this delightful book, treating readers to a host of entertaining problems and mind-bending puzzlers that will amuse and inspire their inner physicist. Levi turns mat...

Euler's Gem: The Polyhedron Formula and the Birth of Topology - Paperback

$22.95

by David S. Richeson (Author)Leonhard Euler's polyhedron formula describes the structure of many objects--from soccer balls and gemstones to Buckminster Fuller's buildings and giant all-carbon molecules. Yet Euler's formula is so simple it can be explained to a child. Euler's Gem tells the illuminating story of this indispensable mathematical idea. From ancient Greek geometry to today's cutting-edge research, Euler's Gem celebrates the discovery of Euler's beloved polyhedron formula and its ...

$196.65

by Aharon Ben-Tal (Author), Laurent El Ghaoui (Author), Arkadi Nemirovski (Author)Robust optimization is still a relatively new approach to optimization problems affected by uncertainty, but it has already proved so useful in real applications that it is difficult to tackle such problems today without considering this powerful methodology. Written by the principal developers of robust optimization, and describing the main achievements of a decade of research, this is the first book to provide...

Across the Board: The Mathematics of Chessboard Problems - Paperback

$18.95

by John J. Watkins (Author)Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that ...

Flatland: A Romance of Many Dimensions - Paperback

$14.95

by Edwin Abbott Abbott (Author), Thomas Banchoff (Introduction by)In 1884, Edwin Abbott Abbott wrote a mathematical adventure set in a two-dimensional plane world, populated by a hierarchical society of regular geometrical figures-who think and speak and have all too human emotions. Since then Flatland has fascinated generations of readers, becoming a perennial science-fiction favorite. By imagining the contact of beings from different dimensions, the author fully exploited the power of the a...

The Fascinating World of Graph Theory - Paperback

$22.95

by Arthur Benjamin (Author), Gary Chartrand (Author), Ping Zhang (Author)The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs--mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics--and some of its most famous problems. The Fascinating ...

The Gross-Zagier Formula on Shimura Curves - Paperback

$196.65

by Xinyi Yuan (Author), Shou-Wu Zhang (Author), Wei Zhang (Author)This comprehensive account of the Gross-Zagier formula on Shimura curves over totally real fields relates the heights of Heegner points on abelian varieties to the derivatives of L-series. The formula will have new applications for the Birch and Swinnerton-Dyer conjecture and Diophantine equations. The book begins with a conceptual formulation of the Gross-Zagier formula in terms of incoherent quaternion algebras and incoheren...

The Calculus of Happiness: How a Mathematical Approach to Life Adds Up to Health, Wealth, and Love - Paperback

$16.95

by Oscar Fernandez (Author)How math holds the keys to improving one's health, wealth, and love life What's the best diet for overall health and weight management? How can we change our finances to retire earlier? How can we maximize our chances of finding our soul mate? In The Calculus of Happiness, Oscar Fernandez shows us that math yields powerful insights into health, wealth, and love. Relying on only high school-level math (precalculus with a dash of calculus), Fernandez uses everyday exp...

Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills - Paperback

$24.95

by Paul J. Nahin (Author)In the mid-eighteenth century, Swiss-born mathematician Leonhard Euler developed a formula so innovative and complex that it continues to inspire research, discussion, and even the occasional limerick. Dr. Euler's Fabulous Formula shares the fascinating story of this groundbreaking formula--long regarded as the gold standard for mathematical beauty--and shows why it still lies at the heart of complex number theory. In some ways a sequel to Nahin's An Imaginary Tale, t...

Thurston's Work on Surfaces (Mn-48) - Paperback

$153.90

by Albert Fathi (Author), François Laudenbach (Author), Valentin Poénaru (Author)This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English. Based on material of Thurston presented at a seminar in Orsay from 1976 to 1977, it covers topics such as the space of measured foliations on a surface, the Thurston compactification of Teichm ller space, the Nielsen-Thurston classification of surface homeomorphisms, and dyn...