Mathematics

This book introduces mathematics in a far more enlightened manner. Ten essential lessons for the general reader with little knowledge of the subject provide lucid explanations to make it more...

"Among the many expositions of Goedel's incompleteness theorems written for non-specialists, this book stands apart. With exceptional clarity, Franzen gives careful, non-technical explanations both of what those theorems say and,...

Now Pappas has done it again, or rather, has done more! The pages of MORE JOY OF MATHEMATICS spill over with ideas, puzzles, games from all over the world, historic...

Part of the joy of mathematics is that it is everywhere-in soap bubbles, electricity, da Vinci's masterpieces, even in an ocean wave. Written by the well-known mathematics teacher consultant, this...

Science News publishes a weekly column devoted to 'cool stuff' from the world of mathematics. There have been over 250 articles under the title 'Ivars Peterson's Math Treks'. New developments...

The name Bourbaki is known to every mathematician. Many also know something of the origins of Bourbaki, yet few know the full story. In 1935, a small group of young...

In the early 1980s there was virtually no serious communication among the various groups that contribute to mathematics education -- mathematicians, mathematics educators, classroom teachers, and cognitive scientists. Members of...

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a...

From the Renaissance onwards, mathematics has had a near-mystical status. If the pragmatic Romans and Christian Europe, did not share the Greeks' fascination with numbers and geometrical shapes, the introduction...

Everyday we are bombarded with statistics tailored to influence opinions, sell pain relievers and win votes. John Phillips' book is a guide to help the reader make sense of the...

Among the many constants that appear in mathematics, ?, e, and i are the most familiar. Following closely behind is ?,, or gamma, a constant that arises in many mathematical...

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...

The interest earned on a bank account, the arrangement of seeds in a sun flower, and the shape of the Gateway Arch in St. Louis are all intimately connected with...

Fractals are shapes in which an identical motif repeats itself on an ever diminishing scale. A coastline, for instance, is a fractal, with each bay or headland having its own...

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...

As Dr Maxwell writes in his preface to this book, his aim has been to instruct through entertainment. 'The general theory is that a wrong idea may often be exposed...

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...

Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and a large number...

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...

A stimulating excursion into pure mathematics aimed at ""the mathematically traumatized,"" but great fun for mathematical hobbyists and serious mathematicians as well. Requiring only high school algebra as mathematical background,...

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...

Demonstrates relationships between different types of geometry. Provides excellent overview of the foundations and historical evolution of geometrical concepts. Fundamental Concepts of Geometry demonstrates in a clear and lucid manner...

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...

This uncommonly interesting volume has been a favourite for 30 years, and is now available for the first time in a modestly priced paperback edition. Beginning with the fundamentals of...

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 is an unabridged republication of the definitive English translation of one of the very greatest classics of science. Originally published in 1637, it has been characterized as ""the greatest...

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...

Concise, accessible sketches of the views of Plato, Aristotle, Leibniz, and Kant highlight this study of the general structure and foundation of pure and applied mathematics. Author Stephan Koerner dedicates...

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...

Twelve essays take a playful approach to mathematics, investigating the topology of a blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy....

The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem...

Combining three books into a single volume, this text comprises Multicolour Problems, dealing with several of the classical map-colouring problems; Problems in the Theory of Numbers, an elementary introduction to...

More than a history of mathematics, this lively book traces mathematical ideas and processes to their sources, stressing the methods used by the masters of the ancient world. Author Tobias...

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...

A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics. It offers a well-rounded perspective, examining similarities to modern views as well as...

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...

"Nothing comparable to it." - Mathematics Teacher. This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant...

"Makes the reader feel the inspiration that comes from listening to a great mathematician." - Bulletin, American Mathematical SocietyA distinguished mathematician and educator enlivens abstract discussions of arithmetic, 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...

Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, topology of...