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History of Mathematics: Highways and Byways

Table of Contents

I. Landscapes:
The first ancient civilizations
Greek logistic
Arab civilization
The golden age of scholasticm
The diffusion of new ideas in the sixteenth century
First progress: arithmetic and algebra
The mathematization of science in the 17th century
The mathematical eighteenth century
The new condition of mathematical work in the nineteenth century

II. A moment of rationality: Greece

III. The constitution of classical algebra

IV. Pragmatic origins of Geometry

V. Limits: From the unconceived to the concept

VI. The concept of function and the development of analysis

VII. At the crosswords of algebra, analysis and geometry: complex numbers

VIII. The emergence of algebraic structures.

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