Introduction to Modern Analysis
Published on 29. June 2006
Book
Paperback/Softback
448 pages
978-0-19-920315-4 (ISBN)
Description
This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach 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 discuss applications in Probability Theory and Partial Differential Equations.
Solutions to the end of chapter exercises may be found on the companion website for this text.
exercises. The final two chapters discuss applications in Probability Theory and Partial Differential Equations.
Solutions to the end of chapter exercises may be found on the companion website for this text.
Reviews / Votes
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 * The book can be viewed as a multi-purpose text for advanced undergraduate and graduate students. * EMS * 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) *More details
Series
Language
English
Place of publication
Oxford
United Kingdom
Target group
Professional and scholarly
Dimensions
Height: 233 mm
Width: 157 mm
Thickness: 25 mm
Weight
679 gr
ISBN-13
978-0-19-920315-4 (9780199203154)
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Schweitzer Classification
Other editions
Additional editions
Shmuel Kantorovitz
Introduction to Modern Analysis
Book
02/2003
Oxford University Press
€129.99
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Content
Preface ; 1. Measures ; 2. Construction of measures ; 3. Measure and topology ; 4. Continuous linear functionals ; 5. Duality ; 6. Bounded operators ; 7. Banach algebras ; 8. Hilbert spaces ; 9. Integral representation ; 10. Unbounded operators ; Application I:Probability ; Application II: Distributions ; Bibliography ; Index