The History of Mathematics

A Brief Course

Roger Cooke - Collection Wiley-Interscience

608 pages, parution le 20/06/2005 (2^eme édition)

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Résumé

This new edition brings the fascinating and intriguing history of mathematics to life

The Second Edition of this internationally acclaimed text has been thoroughly revised, updated, and reorganized to give readers a fresh perspective on the evolution of mathematics. Written by one of the world's leading experts on the history of mathematics, the book details the key historical developments in the field, providing an understanding and appreciation of how mathematics influences today's science, art, music, literature, and society.

In the first edition, each chapter was devoted to a single culture. This Second Edition is organized by subject matter: a general survey of mathematics in many cultures, arithmetic, geometry, algebra, analysis, and mathematical inference. This new organization enables students to focus on one complete topic and, at the same time, compare hpw different cultures approached each topic. Many new photographs and diagrams have been added to this edition to enhance the presentation.

The text is divided into seven parts:

The World of Mathematics and the Mathematics of the World, including the origin and prehistory of mathematics, cultural surveys, and women mathematicians
Numbers, including counting, calculation, ancient number theory, and numbers and number theory in modern mathematics
Color Plates, illustrating the impact of mathematics on civilizations from Egypt to Japan to Mexicb to modern Europe
Space, including measurement, Euclidean geometry, post-Euclidean geometry, and modern geometries
Algebra, including problems leading to algebra, equations and methods, and modern algebra
Analysis, including the calculus, real, and complex analysis
Mathematical Inference, including probability and statistics, and logic and set theory

As readers progress through the text, they learn about the evolution of each topic, how different cultures devised their own solutions, and how these solutions enabled the cultures to develop and progress. In addition, readers will meet some of the greatest mathematicians of the ages, who helped lay the groundwork for today's science and technology.

The book's lively approach makes it appropriate for anyone interested in learning how the field of mathematics came to be what it is today. It can also serve as a textbook for undergraduate or graduate-level courses.

L'auteur - Roger Cooke

Roger Cooke, PHD, is Williams Professor of Mathematics, University of Vermont, and has served as an associate editor of Historia Mathematica. Dr. Cooke has authored other key titles in the field as well as translated several books by Russian mathematicians into English.

Sommaire

Preface
The World Of Mathematics And The Mathematics Of The World
- The Origin and Prehistory of Mathematics
- Mathematical Cultures I
- Mathematical Cultures II
- Women Mathematicians
Numbers
- Counting
- Calculation
- Ancient Number Theory
- Numbers and Number Theory in Modren Mathematics
Color Plates
Space
- Measurement
- Euclidean Geometry
- Post-Euclidean Geometry
- Modern Geometries
Algebra
- Prolems Leading to Algebra
- Equations and Methods
- Modern Algebra
Analysis
- The Calculus
- Real and Complex Aanlysis
Mathematical Inferences
- Probability and Statistics
- Logic and Set Theory
Literature
Subject Index
Name Index

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Wiley
Auteur(s)	Roger Cooke
Collection	Wiley-Interscience
Parution	20/06/2005
Édition	2^eme édition
Nb. de pages	608
Format	18 x 26
Couverture	Relié
Poids	1296g
Intérieur	Noir et Blanc
EAN13	9780471444596
ISBN13	978-0-471-44459-6