Measure Theory, L Cohn Donald

Автор: Weaver Nik
Название: Measure Theory and Functional Analysis
ISBN: 981450856X ISBN-13(EAN): 9789814508568
Издательство: World Scientific Publishing
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Цена: 11563.00 р.
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Описание: This book provides an introduction to measure theory and functional analysis suitable for a beginning graduate course, and is based on notes the author had developed over several years of teaching such a course. It is unique in placing special emphasis on the separable setting, which allows for a simultaneously more detailed and more elementary exposition, and for its rapid progression into advanced topics in the spectral theory of families of self-adjoint operators. The author's notion of measurable Hilbert bundles is used to give the spectral theorem a particularly elegant formulation not to be found in other textbooks on the subject.

Автор: Yeh James
Название: Real Analysis: Theory Of Measure And Integration (3Rd Edition)
ISBN: 9814578533 ISBN-13(EAN): 9789814578530
Издательство: World Scientific Publishing
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Цена: 19008.00 р.
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Описание:

This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem on earlier theorems is explicitly indicated in the proof, not only to facilitate reading but also to delineate the structure of the theory. The precision and clarity of presentation make the book an ideal textbook for a graduate course in real analysis while the wealth of topics treated also make the book a valuable reference work for mathematicians.

The book is also very helpful to graduate students in statistics and electrical engineering, two disciplines that apply measure theory.