Functional Analysis

Functional Analysis Book Description

The book is intended to serve as a textbook for an introductory course in functional analysis for the senior undergraduate and graduate students. It can also be useful for the senior students of applied mathematics, statistics, operations research, engineering and theoretical physics. The text starts with a chapter on Preliminaries discussing basic concepts and results which would be taken for granted later in the book. This is followed by chapters on Normed and Banach Spaces, Bounded Linear Operators, Bounded Linear Functionals. The Concept and Specific Geometry of Hilbert Spaces, Functionals and Operators on Hilbert Spaces and Introduction to Spectral Theory. An appendix has been given on Schauder Bases.
The salient features of the book are:
Presentation of the subject in a natural way
Description of the concepts with justification
Clear and precise exposition avoiding pendantry
Various examples and counter examples
Graded problems throughout each chapter
Notes and remarks within the text enhances the utility of the book for the students.
About the Author(s):
P.K. Jain
(b.1942) is reader in the Department of Mathematics, University of Delhi, Delhi. He was a Visiting Professor of Mathematics at the University of Khartoum (Sudan) for two years and at Kuwait University (Kuwait) for one year. He visited universities in U.S.A. and Canada delivering invited talks. He has been teaching at the University of Delhi for the last 22 years. He has published around 100 research papers in areas of analysis in various national and international journals and produced 11 Ph.D.s.
Dr Om P Ahuja
, M.Sc., M.A., Ph.D. currently a Visiting Senior Fellow in the School of Science at the Nanyang University of Singapore, taught in a number of universities in India, Ethiopia, Sudan, Papua New Guinea and U.S.A. He has to his credit several published articles and books both in Mathematics and Mathematics Education.
Khalil Ahmad (
b.1949) is reader in the Department of Mathematics, Jamia Millia Islamia, New Delhi. He has been teaching undergraduate and postgraduate classes for the last 16 years. He had also taught in D.A.V. College, Kanpur (Kanpur University) and A.M.U. Aligarh. He has published ten research papers in Functional Analysis in various national and international journals.
Contents:
Preliminaries
Normed and Banach Spaces
Bounded Linear Operators
Bounded Linear Functionals
The Concept and Specific Geometry of Hilbert Spaces
Functionals and Operators on Hilbert Spaces
Introduction of Spectral Theory
Appendix : Schauder Bases
Bibliography
Index.

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