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Introduction to Functional Analysis (2E) by Angus Taylor and David Lay
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**About this book :- **
**Introduction to Functional Analysis (2E) ** written by
** Angus Taylor and David Lay **

This text is analyzes the theory of normed linear spaces and of linear mappings between such spaces, providing the necessary foundation for further study in many areas of analysis. Strives to generate an appreciation for the unifying power of the abstract linear-space point of view in surveying the problems of linear algebra, classical analysis, and differential and integral equations.

This second edition incorporates recent developments in functional analysis to make the selection of topics more appropriate for current courses in functional analysis. Additions to this new edition include: a chapter on Banach algebras, and material on weak topologies and duality, equicontinuity, the Krein-Milman theorem, and the theory of Fredholm operators. Greater emphasis is also placed on closed unbounded linear operators, with more illustrations drawn from ordinary differential equations.

**Book Detail :- **
** Title: ** Functional Analysis:Introduction to Further Topics in Analysis
** Edition: **
** Author(s): ** Angus E. Taylor, David C. Lay
** Publisher: ** Wiley
** Series: **
** Year: ** 1980
** Pages: ** 467
** Type: ** PDF
** Language: ** English
** ISBN: ** 0471846465,9780471846468
** Country: ** US

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**About Author :- **

Author ** Angus E. Taylor ** (1911 – 1999) was an American mathematician and professor at various universities in the University of California system. He earned his undergraduate degree at Harvard summa cum laude in 1933 and PhD at Caltech in 1936. He become the full Professor at University of California, Los Angeles, later chaired (1958–1964) of its mathematics department.

He was the author of many mathematical textbooks. His area of work and research is calculus with analytic geometry, advanced calculus, general theory of functions and integration and Functional analysis.

Author ** David C. Lay ** earned his graduate degree at Aurora College in 1962 and his PhD at University of California, Los Angeles in 1966. He become the full Professor in 1977 at Mariland.

He authored or co-authored 6 mathematics books. His popular books in Linear Algebra and its Applications which is translated into French, Spanish, Portuguese, Chinese, Korean and Some other languages. He also won the campus Distinguished Scholar-Teacher Award in 1997.

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**Book Contents :- **
**Introduction to Functional Analysis (2E) ** written by
** Angus Taylor and David Lay **
cover the following topics.

1. The Abstract Approach to Linear Problems

2. Topoligical Linear Space

3. Linear Functional and Weak Topologies

4. General Theorems on Linear Operators

5. Spectral Analysis on Linear Operators

6. Spectral Analysis on Hilbert Space

7. Banach Algebra

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