Lebesgue's Theory of Integration

Its Origins and Development

Buch | Hardcover

2001
American Mathematical Society (Verlag)
978-0-8218-2963-9 (ISBN)

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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.

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.

Riemann's theory of integration The development of riemann's ideas: 1870-80 Set theory and the theory of integration The end of the century: A period of transition The creation of modern integration theory Pioneering applications of the Lebesgue integral Epilogue: The Lebesgue-Stieltjes integral Appendix: Dini's theorem on the differentiability of continuous functions Glossary Special symbols List of abbreviations Bibliography Index.

Erscheint lt. Verlag	19.5.2004
Reihe/Serie	AMS Chelsea Publishing
Zusatzinfo	glossary, index, bibliography
Verlagsort	Providence
Sprache	englisch
Gewicht	460 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
ISBN-10	0-8218-2963-7 / 0821829637
ISBN-13	978-0-8218-2963-9 / 9780821829639
Zustand	Neuware