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Written by 17th-century mathematician Pierre de Fermat, Fermat's theorem has long puzzled other mathematicians. It states that while a square of a whole number can be broken down into two...

The design of code and cipher systems has undergone major changes in modern times. Powerful personal computers have resulted in an explosion of e-banking, e-commerce and e-mail, and as a...

This self-contained study is both an introduction to quantification theory and an exposition of new results and techniques in "analytic" or "cut free" methods. The focus is on the tableau...

This advanced undergraduate-level introductory textbook first addresses groups, rings, fields and polynomials, then provides coverage of Galois theory and the proof of the unsolvability by radicals of the general equations...

""A very valuable addition to any mathematical library."" - School Science and MathThis book, written by a prominent mathematician and Sterling Professor of Mathematics at Yale, differs from most other...

This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of...

In the nineteenth century, French mathematician Evariste Galois developed the Galois theory of groups-one of the most penetrating concepts in modem mathematics. The elements of the theory are clearly presented...

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."...

This applications-related introductory treatment explores facets of modern symbolic logic useful in the exposition of elementary mathematics. The authors convey the material in a manner accessible to those trained in...

This advanced undergraduate-level text was recommended for teacher education by The American Mathematical Monthly and praised as a ""most readable book."" An ideal introduction to groups and Galois theory, it...

This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by...

Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. Goodstein was also well known as a distinguished educator. With this text, he offers an elementary treatment...

Anyone interested in mathematics will appreciate this survey, which explores the distinction between the body of knowledge known as mathematics and the methods used in its discovery. It traces the...

Students learn how to read and write proofs by actually reading and writing them, asserts author Joseph J. Rotman, adding that merely reading about mathematics is no substitute for doing...

Suitable for advanced undergraduates and graduate students, this self-contained text will appeal to readers from diverse fields and varying backgrounds - including mathematics, philosophy, linguistics, computer science, and engineering. It...

An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters, Ant and Gnam. They put a variety of theories into action -...

A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical...

Written by a prominent mathematician, this text offers advanced undergraduate and graduate students a virtually self-contained treatment of the basics of Galois theory. The source of modern abstract algebra and...

Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the...

The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed...

The complete works of antiquity's great geometer appear here in a highly accessible English translation by a distinguished scholar. Remarkable for his range of thought and his mastery of treatment,...

In this delightful guide, a noted mathematician and teacher offers a witty, historically oriented introduction to number theory, dealing with properties of numbers and with numbers as abstract concepts. Written...

From one of the foremost interpreters for lay readers of the history and meaning of mathematics: a stimulating account of the origins of mathematical thought and the development of numerical...

Challenging, accessible mathematical adventures involving prime numbers, number patterns, irrationals and iterations, calculating prodigies, and more. "Splendidly written, well selected and presented collection." - Martin Gardner. "A splendidly written, well...

"William Frucht's wide-ranging compilation of mathematically flavored fiction and poetry is humorous, thought-provoking, and profoundly entertaining."-John Allen Paulos, author of Once Upon a NumberThis delightful anthology-the first such collection since...

Praise for A. K. Dewdney Yes, We Have No Neutrons "We need more books like this-especially if they're this much fun to read." -Wired "Dewdney manages to make this catalog...

The first scientific entry in the acclaimed Art of Mentoring series from Basic Books, Letters to a Young Mathematician tells readers what Ian Stewart wishes he had known when he...

Calling all puzzlers... From mathematics to word puzzles, from logic to lateral thinking, veteran puzzle maker Derrick Niederman delights in tackling the trickiest brainteasers in a new way. Among the...

If we actually received messages from the stars, what would we do with them? Who were the five strangest mathematicians in history? What are the ten most interesting numbers? Who...

In this book Kline examines the development of mathematics as our most powerful instrument for exploring the physical world. He probes our existing world of mathematics and illuminates its workings...

"The Nuts and Bolts of Proof" instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they...

This book was written at the request of nurse educators and with considerable help from them. It deals with elements of the arithmetic of nursing, especially the arithmetic of basic...

The fascinating tale of the solving of the famous enigma in the shape of space - part history and part maths. In the world of maths, the Poincare Conjecture was...

The first comprehensive, modern introduction to the theory of central simple algebras over arbitrary fields, this book starts from the basics and reaches such advanced results as the Merkurjev-Suslin theorem,...

Suitable for both senior undergraduate and graduate students, this is a self-contained book dealing with the classical theory of the partial differential equations through a modern approach; requiring minimal previous...

Few people have changed the world like the Nobel Prize winners. Their breakthrough discoveries have revolutionised medicine, chemistry, physics and economics. Nobel Life consists of original interviews with twenty-four Nobel...

The rich, multi-faceted and multi-disciplinary field of matching-based market design is an active and important one due to its highly successful applications with economic and sociological impact. Its home is...

Using a step-by-step approach, this textbook provides a modern treatment of the fundamental concepts, analytical techniques, and software tools used to perform multi-domain modeling, system analysis and simulation, linear control...

String matching is one of the oldest algorithmic techniques, yet still one of the most pervasive in computer science. The past 20 years have seen technological leaps in applications as...

In a world where we are constantly being asked to make decisions based on incomplete information, facility with basic probability is an essential skill. This book provides a solid foundation...

Fully revised to match the more traditional sequence of course materials, this full-color second edition presents the basic principles and methods of thermodynamics using a clear and engaging style and...

The Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes,...

The Archimedes Palimpsest is the name given to a Byzantine prayer book that was written over a number of earlier manuscripts, including one that contained two unique works by Archimedes,...

Schemes in algebraic geometry can have singular points, whereas differential geometers typically focus on manifolds which are nonsingular. However, there is a class of schemes, 'C -schemes', which allow differential...

Aimed at advanced undergraduate and graduate students in mathematics and related disciplines, this book presents the concepts and results underlying the Bayesian, frequentist and Fisherian approaches, with particular emphasis on...