Introduction to Modern Analysis (Oxford Graduate Texts in Mathematics): 8 - Brossura

Kantorovitz, Shmuel

Brossura

ISBN 10: 0199203156 ISBN 13: 9780199203154

Casa editrice: Oxford University Press, U.S.A., 2006

Riassunto

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.

Su questo libro

Recensione

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))

Contenuti

• 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

Dettagli dell'edizione

• Editore: Oxford University Press, U.S.A.
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0199203156
• ISBN 13: 9780199203154
• Rilegatura: Copertina flessibile
• Numero di pagine: 450
• Contatto del produttore: non disponibile
• Persona responsabile: Ufficio Anagrafiche Messaggerie; ufficio.anagrafiche@meli.it; ; Via Verdi, 8; Assago Milano; 20090; Italia