Mathematical Analysis during the 20th Century by Jean-Paul PierMathematical Analysis during the 20th Century by Jean-Paul Pier

Mathematical Analysis during the 20th Century

byJean-Paul Pier

Hardcover | February 8, 2001

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For several centuries, analysis has been one of the most prestigious and important subjects in mathematics. The present book sets off by tracing the evolution of mathematical analysis, and then endeavours to understand the developments of main trends, problems, and conjectures. It featureschapters on general topology, 'classical' integration and measure theory, functional analysis, harmonic analysis and Lie groups, theory of functions and analytic geometry, differential and partial differential equations, topological and differential geometry. The ubiquitous presence of analysis alsorequires the consideration of related topics such as probability theory or algebraic geometry. Each chapter features a comprehensive first part on developments during the period 1900-1950, and then provides outlooks on representative achievements during the later part of the century. The bookprovides many original quotations from outstanding mathematicians as well as an extensive bibliography of the seminal publications. It will be an interesting and useful reference work for graduate students, lecturers, and all professional mathematicians and other scientists with an interest in thehistory of mathematics.
Professor Jean-Paul Pier, Department of Mathematics, Luxembourg University Centre.
Title:Mathematical Analysis during the 20th CenturyFormat:HardcoverDimensions:438 pages, 9.21 × 6.14 × 1.1 inPublished:February 8, 2001Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198503946

ISBN - 13:9780198503941

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Table of Contents

1. Introduction2. General topology3. Integration and measure4. Functional analysis5. Harmonic analysis6. Lie groups7. Theory of functions and analytic geometry8. Ordinary and partial differential equations9. Algebraic topology10.Differential topology11.Probability12.Algebraic geometryReferencesIndex of namesIndex of termsAppendix: List of symbols

Editorial Reviews

`What this book is full of, on almost every page, are quotations. They are well chosen, trenchant, and presented in their original language and an English translation. The effect is to eavesdrop on a long, continuing conversation, the conversation that is the life of mathematics as discussedby leading mathematicians. Here they are caught saying interesting, insightful, provocative things. They are by no means confined to definitions and statements of theorems, they are allowed to tell you why they think something is important, charming, useful, how it was found, who is responsible.'Jeremy Gray