Mathematics and Its History

John Stillwell - Collection Undergraduate Texts in Mathematics

544 pages, parution le 15/01/2002 (2^eme édition)

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Résumé

From the reviews of the first edition:

"[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience¿ we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." (Mathematical Intelligencer)

This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.

Written for: Undergraduate mathematics students, graduate mathematics students

L'auteur - John Stillwell

John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer-Verlag, including Mathematics and Its History (Second Edition 2001), Numbers and Geometry (1997) and Elements of Algebra (1994).

Sommaire

The Theorem of Pythagoras
Greek Geometry
Greek Number Theory
Infinity in Greek Mathematics
Number Theory in Asia
Polynomial Equations
Analytic Geometry
Projective Geometry
Calculus
Infinite Series
The Revival of Number Theory
Elliptic Functions
Mechanics
Complex Numbers in Algebra
Complex Numbers and Curves
Complex Numbers and Functions
Differential Geometry
Noneuclidean Geometry
Group Theory
Hypercomplex Numbers
Algebraic Number Theory
Topology
Sets, Logic, and Computation

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	John Stillwell
Collection	Undergraduate Texts in Mathematics
Parution	15/01/2002
Édition	2^eme édition
Nb. de pages	544
Format	16 x 24
Couverture	Relié
Poids	930g
Intérieur	Noir et Blanc
EAN13	9780387953366
ISBN13	978-0-387-95336-6