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. Ordinary and partial differential equations 9. Algebraic topology 10.Differential topology 11.Probability 12.Algebraic geometry References Index of names Index of terms Appendix: List of symbols
Professor Jean-Paul Pier, Department of Mathematics, Luxembourg University Centre.
Pier marshals hundreds of quotations from the writings of twentieth-century analysts, weaving them into his text to form a coherent picture ... The impressive 60-page list of references is a major resource for historians of mathematics ... It is a major achievement, providing a superb reference for mathematicians who wish to understand how ideas have developed in analysis. The Mathematical Gazette Will be a valuable source book for analysts interested in the history of the main ideas of analysis, as well as for others wanting to know about developments in other fields. EMS 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 quotes from those who took part in the developments ... a book from which most mathematicians would find a lot to interest them. Zentralblatt Mathematik
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