Mathematical Thought from Ancient to Modern Times, Vol. 2
豆瓣
Morris Kline
简介
This comprehensive history traces the development of mathematical ideas and the careers of the men 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
Preface
Contents
Publisher's Note
18 Mathematics as of 1700
19 Calculus in the Eighteenth Century
20 Infinite Series
21 Ordinary Differential Equations in the Eighteenth Century
22 Partial Differential Equations in the Eighteenth Century
23 Analytic and Differential Geometry in the Eighteenth Century
24 The Calculus of Variations in the Eighteenth Century
25 Algebra in the Eighteenth Century
26 Mathematics as of 1800
27 Functions of a Complex Variable
28 Partial Differential Equations in the Nineteenth Century
29 Ordinary Differential Equations in the Nineteenth Century
30 The Calculus of Variations in the Nineteenth Century
31 Galois Theory
32 Quaternions, Vectors, and Linear Associative Algebras
33 Determinants and Matrices
Abbreviations
Name Index
Subject Index
