Free Ebook Measure Theory and Functional Analysis, by Nik Weaver
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Measure Theory and Functional Analysis, by Nik Weaver
Free Ebook Measure Theory and Functional Analysis, by Nik Weaver
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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.
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- Published on: 2013-07-23
- Released on: 2013-07-23
- Format: Kindle eBook
Review
"This book would serve admirably well for a one semester course on the subject. In view of its conciseness and brevity, it serves as a useful reference for graduate students studying for qualifying exams." -- Mathematical Association of America
"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." -- Zentralblatt MATH
"This nice book contains an enormous amount of information in relatively few pages." -- MathSciNet
"This is a nice book! It contains an enormous amount of information in relatively few pages. This is more a textbook to help a teacher present an inspiring course in modern analysis rather than a book for self-study." -- Mathematical Reviews Clippings
From the Inside Flap
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.
Most helpful customer reviews
2 of 3 people found the following review helpful.
A very well written book that adds clarity and rigor ...
By Sara T
A very well written book that adds clarity and rigor where I haven't seen it in other books. As a new math graduate student, this book is very helpful in my developing my understanding
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