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Synopsis
This text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis and contain over 120 end of chapter exercises. the final two chapters apply theory to applications in Probability Theory and Partial Differential Equations.
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About the Author
Shmuel Kantorovitz is a Professor of Mathematics at Bar-Ilan Univerity, Israel.
Review
Review from previous edition
"Here we have the distilled and refined essence of the fruits of world-renowned functional analyst Kantorovitz, who spent 40 years teaching functional analysis to aspiring students of that domain. Everything one might reasonably expect such a student to understand is here, masterfully presented ... A strong bibliography and thorough index nicely complement the main work ... Highly recommended." --F.E.J. Linton, Wesleyan University (Choice)
"... will be useful for advanced undergraduate and graduate students in mathematics."--Zentralblatt Math 11/02/2004
"The book can be viewed as a multi-purpose text for advanced undergraduate and graduate students."-- EMS 26/08/2004
"The author offers a refreshingly unorthodox and lucid version of "modern analysis" ... All in all, this book is a valuable and pleasant contribution to the wide field of 'modern analysis'"."--MathSolNet (Mathematical Reviews on the Web) 11/03/2004
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- PublisherOxford University Press, U.S.A.
- Publication date2006
- ISBN 10 0199203156
- ISBN 13 9780199203154
- BindingPaperback
- LanguageEnglish
- Number of pages450
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Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics)
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Oxford University Press, U.S.A., 2006
ISBN 10: 0199203156
ISBN 13: 9780199203154
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Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics, 8)
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ISBN 10: 0199203156
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Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics)
Published by
Oxford University Press, U.S.A., 2006
ISBN 10: 0199203156
ISBN 13: 9780199203154
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Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics): 8
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ISBN 10: 0199203156
ISBN 13: 9780199203154
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Introduction to Modern Analysis (Paperback)
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