Mathematical Thought from Ancient to Modern Times (vol. 1)
豆瓣
Morris Kline
简介
This comprehensive history traces the development of mathematical ideas and the careers of the mathematicians responsible for them. Volume 1 looks at the discipline's origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
contents
Preface
Contents
Publisher's Note
I Mathematics in Mesopotamia
2 Egyptian Mathematics
3 The Creation of Classical Greek Mathematics
4 Euclid and Apollonius
5 The Alexandrian Greek Period: Geometry and Trigonometry
6 The Alexandrian Period: The Reemergence of Arithmetic and Algebra
7 The Greek Rationalization of Nature
8 The Demise of the Greek World
9 The Methematics of the Hindus and Arabs
10 The Medieval Period in Europe
11 The Renaissance
12 Mathematical Contributions in the Renaissance
13 Arithmetic and Algebra in the Sixteenth and Seventeenth Centuries
14 The Beginnings of Projective Geometry
15 Coordinate Geometry
16 The Mathematization of Science
17 The Creation of the Calculus
Abbreviations
Name Index
Subject Index
