Foundations of Functional Analysis

by S. Ponnusamy

Provides fundamental concepts about the theory, application and various methods involving functional analysis for students, teachers, scientists and engineers. Divided into three parts it

• Basic facts of linear algebra and real analysis.
• Normed spaces, contraction mappings, linear operators between normed spaces and fundamental results on these topics.
• Hilbert spaces and the representation of continuous linear function with applications.

In this self-contained book, all the concepts, results and their consequences are motivated and illustrated by numerous examples in each chapter with carefully chosen exercises.

Table of Contents

• Basic Analysis and Linear Algebra
• Concepts in Metric Spaces
• Banach Normed Spaces
• Contraction Mappings and Applications
• Linear Operators in Normed Spaces
• Hilbert Inner Product Spaces
• Representation of Linear Functional Fourier Analysis and Applications
• Bibliography
• Index

Genres: Mathematics

476 pages, Hardcover

First published January 1, 2002

Reviews

[Parwez Khan · Rating 4 out of 5]

One of best book for mastering the fundamentals of Complex Analysis by Indian author S. Ponnusamy, everything in book is well ordered and in a consice manner, Recommended for Masters (2 sem) not for beginners.

[Vinod Kumar · Rating 4 out of 5]

Very good book

[Maruti Naik]

Best one

[Samu · Rating 4 out of 5]

Good

[Baskar V · Rating 4 out of 5]

Foundations of complex analysis is best book for students

[Logeswari · Rating 4 out of 5]

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[Kalpana · Rating 3 out of 5]

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[M · Rating 3 out of 5]

I think this book more helpful for me