History of Mathematics : Highways and Byways (Spectrum)

Dahan-Dalmédico, Amy/ Peiffer, Jeanne/ Segal, Sanford (TRN)

Mathematical Association of America（2009/12発売）

• 製本 Hardcover:ハードカバー版／ページ数 342 p.
• 言語 ENG
• 商品コード 9780883855621
• DDC分類 510.9

基本説明

The birth and development of mathematical activity are placed in their historical, cultural and economic context.

Full Description

This is a novel, short, and eminently readable history of mathematics. Many histories provide a chronological history of the entire subject, which can sometimes make it difficult to follow the development of a particular branch over time. Dahan-Delmmédico and Pfeiffer succeed splendidly in tracing each branch from its beginnings forward. They also give an outstanding account of how the Arabs not only preserved Greek mathematics, but extended it in the 800 year period from 400-1200. The large number of informative illustrations support the text and contribute to what is a great read.

Contents

Translator's preface; 1. Landscapes; 2. A moment of rationality: Greece; 3. The constitution of classical algebra; 4. Figures, spaces, and geometries; 5. Limits: from the unconceived to the concept; 6. The concept of function and the development of analysis; 7. At the crossroads of algebra, analysis, and geometry: complex numbers; 8. New objects, new laws: the emergence of algebraic structures.