Functional analysis
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Functional analysis lectures given in 1960-61. Notes by Lesley Sibner. by Louis Nirenberg

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Published by University, Courant Institute] in [New York .
Written in English


  • Functional analysis

Book details:

The Physical Object
Pagination[133 leaves]
Number of Pages133
ID Numbers
Open LibraryOL14819254M

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Jul 14,  · Rudin was the master. My understanding is that this is the third of his books and I certainly got that impression. It is written well but I wouldn't think it to be a good first book on functional analysis. Having said that, if one desires to master the subject, reading this book and working the problems therein will do exactly that/5(10). Dec 09,  · Compact book on functional analysis, but a lot more abstract than what I was expecting, so if you just want the introduction to the subject without much experience in advanced math, look elswhere! For example Introduction to functional analysis with applications by Kreyszig seems to be a Lot more relevant for physicists, with such a wide /5(18). Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense. Part of the Student Series in Advanced Mathematics, this text is written for graduate courses in functional analysis. Used in modern investigations in analysis and applied mathematics, it includes Kakutani's fixed point theorem, Lamonosov's invariant subspace theorem, and an ergodic theorem/5.

I can't think of a better place to begin learning functional analysis. The book is ideally suited for undergraduates or beginning graduates who have had one or two semesters of real analysis, linear algebra, and possibly topology. The author seemed extremely lucid with clear worked out by: References to various applications of functional analysis are also included throughout the book. A First Course in Functional Analysis is an ideal text for upper-undergraduate and graduate-level courses in pure and applied mathematics, statistics, and engineering. Apart from the classics already mentioned (Yosida, Brezis, Rudin), a good book of functional analysis that I think is suitable not only as a reference but also for self-study, is Fabian, Habala et al. Functional Analysis and Infinite-Dimensional Geometry. It has a lot of nice exercises, it's less abstract than the usual book and provides a lot. It clocks in at a modest pages, yet in a late undergraduate course in functional analysis we covered less than a third of that book (plus some notes on convexity) in a semester. As for Rudin's Real & Complex Analysis: it's a great book, but I don't know if I'd really call it a book on functional analysis.

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