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Introductory Functional Analysis with Applications by Erwin Kreyszig

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About this book :-
Introductory Functional Analysis with Applications written by Erwin Kreyszig.
The book is elementary. A background in undergraduate mathematics, in particular, linear algebra and ordinary calculus, is sufficient as a prerequisite. Measure theory is neither assumed nor discussed. No knowledge in topology is required; the few considerations involving compactness are self-contained. Complex analysis is not needed, except in one of the later sections (Sec. 7.5), which is optional, so that it can easily be omitted. Further help is given in Appendix 1, which contains simple material for review and reference.
The book should therefore be accessible to a wide spectrum of students and may also facilitate the transition between linear algebra and advanced functional analysis.
The book is suitable for a one-semester course meeting five hours per week or for a two-semester course meeting three hours per week. The book can also be utilized for shorter courses. In fact, chapters can be omitted without destroying the continuity or making the rest of the book a torso
(Erwin Kreyszig)

Book Detail :-
Title: Introductory Functional Analysis with Applications
Author(s): Erwin Kreyszig
Publisher: John Wiley & Sons Inc
Year: 1989
Pages: 448
Type: PDF
Language: Arabic
Country: Canada
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About Author :- Erwin O. Kreyszig (1922–2008) was a German Canadian applied mathematician and the Professor of Mathematics at Carleton University in Ottawa, Ontario, Canada. He was a pioneer in the field of applied mathematics: non-wave replicating linear systems. He was also a distinguished author, having written the textbook Advanced Engineering Mathematics, the leading textbook for civil, mechanical, electrical, and chemical engineering undergraduate engineering mathematics.
Kreyszig received his Ph.D. degree in 1949 at the University of Darmstadt under the supervision of Alwin Walther.

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Book Contents :-
Introductory Functional Analysis with Applications written by Erwin Kreyszig cover the following topics. '
1. Metric Spaces
2. Normed Spaces. Banach Spaces
3. Inner Product Spaces. Hilbert Spaces
4. Fundamental Theorems for Normed and Banach Spaces
5. Further Applications: Banach Fixed Point Theorem
6. Further Applications: Approximation Theory
7. Spectral Theory of Linear Operators in Normed, Spaces
8. Compact Linear Operators on Normed Spaces and Their Spectrum
9. Spectral Theory of Bounded Self-Adjoint Linear Operators
10. Unbounded Linear Operators in Hilbert Space
11. Unbounded Linear Operators in Quantum Mechanics
Appendix 1. Some Material for Review and Reference
Appendix 2. Answers to Odd-Numbered Problems.
Appendix 3. References.


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