Lebesgue's Theory of Integration: Its Origins and Development

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American Mathematical Soc., 2001 - Mathematics - 227 pages
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In this book, Hawkins elegantly places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries. Hawkins was awarded the 1997 MAA Chauvenet Prize and the 2001 AMS Albert Leon Whiteman Memorial Prize for notable exposition and exceptional scholarship in the history of mathematics.
 

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Contents

Introduction
ix
Riemanns Theory of Integration
3
The Development of Riemanns Ideas 187080
21
Set Theory and the Theory of Integration
55
The End of the Century A Period of Transition
86
The Creation of Modern Integration Theory
120
Pioneering Applications of the Lebesgue Integral
163
The LebesgueStieltjes Integral
179
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Naturalism in Mathematics
Penelope Maddy
No preview available - 1997
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About the author (2001)

Thomas Hawkins is co-pastor with his wife, Jan, at First Presbyterian Church in Charleston, Illinois. Prior to this pastorate, Hawkins was professor in the Career and Organizational Studies Program, Lumpkin College of Business and Applied Sciences at Eastern Illinois University. He is the author of several books published by Discipleship Resources, including

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