Mathematical Analysis During the 20th Century [Hardcover]

Published under the Clarendon Press imprint, this book covers the 20th Century evolution of essential ideas in mathematical analysis, a field that since the times of Newton and Leibnitz has been one of the most important and presitigious in mathematics. Each chapter features a comprehensive first part on developments during the period 1900-1950, then provides outlooks on achievements during the last part of the century. Chapters include original quotations from outstanding mathematicians and the book includes a bibliography of almost 1000 entries.

Preface
1. Introduction
2. General topology
3. Integration and measure
4. Functional analysis
5. Harmonic analysis
6. Lie groups
7. Theory of functions and analytic geometry
8. Differential and partial differential equations
9. Algebraic topology
10. Differential topology
11. Probability
12. Algebraic geomentry
Bibliography
Index of names
Index of symbols
Glossary

This is a superb history of 20th-century mathematical analysis. One is taken on a tour of all the major areas with a lot of clear detail and many quotations from those who took part in the developments. ... The discussion of the Riemann hypothesis is ... fascinating. --Mathematical Reviews