History of mathematics : highways and byways
著者
書誌事項
History of mathematics : highways and byways
(MAA spectrum)
Mathematical Association of America, c2010
- タイトル別名
-
Une histoire des mathematiques : routes et dedales
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注記
Translated from the French
内容説明・目次
内容説明
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-Delmmedico 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.
目次
- 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.
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