Mathematical Thought from Ancient to Modern Times, Vol. 3
Douban
Morris Kline
overblik
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.
indhold
Preface
Preface
Contents
Publisher's Note
34 The Theory of Numbers in the Nineteenth Century
35 The Revival of Projective Geometry
36 Non-Euclidean Geometry
37 The Differential Geometry of Gauss and Riemann
38 Projective and Metric Geometry
39 Algebraic Geometry
40 The Instillation of Rigor in Analysis
41 The Foundations of the Real and Transfinite Numbers
42 The Foundations of Geometry
43 Mathematics as of 1900
44 The Theory of Functions of Real Variables
45 Integral Equations
46 Functional Analysis
47 Divergent Series
48 Tensor Analysis and Differential Geometry
49 The Emergence of Abstract Algebra
50 The Beginnings of Topology
51 The Foundations of Mathematics
Abbreviations
Name Index
Subject Index
