Industrial and Applied Mathematics

Functional Analysis and Applications

Authors: Siddiqi, Abul Hasan

  • Offers a self-contained textbook for a range of courses on functional analysis
  • Provides a clear overview of the basics of functional analysis
  • Supplies numerous relevant solved examples and problems
  • Discusses the applications of functional analysis in diverse fields
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Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-981-10-3725-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-981-10-3724-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This self-contained textbook discusses all major topics in functional analysis. Combining classical materials with new methods, it supplies numerous relevant solved examples and problems and discusses the applications of functional analysis in diverse fields. The book is unique in its scope, and a variety of applications of functional analysis and operator-theoretic methods are devoted to each area of application. Each chapter includes a set of problems, some of which are routine and elementary, and some of which are more advanced.

The book is primarily intended as a textbook for graduate and advanced undergraduate students in applied mathematics and engineering. It offers several attractive features making it ideally suited for courses on functional analysis intended to provide a basic introduction to the subject and the impact of functional analysis on applied and computational mathematics, nonlinear functional analysis and optimization. It introduces emerging topics like wavelets, Gabor system, inverse problems and application to signal and image processing.

About the authors

ABUL HASAN SIDDIQI is a distinguished scientist and professor emeritus at the School of Basic Sciences and Research at Sharda University, Greater Noida, India. Professor Siddiqi has held several important administrative positions such as Chairman, Department of Mathematics, Dean Faculty of Science, Pro-Vice-Chancellor in one of the Central Universities of India—Aligarh Muslim University. He has been actively associated with International Centre for Theoretical Physics, Trieste, Italy (UNESCO organisation) in different capacities for more than 20 years, was professor of Mathematics at King FahadFahd University of Petroleum and Minerals, Saudi Arabia for 10 years, consultant to Sultan Qaboos University, Oman for 5 terms, Istanbul Aydin University, Turkey for three years and Institute of Micro-electronics, Malaysia for five months. Having been awarded three German Academic Exchange Fellowships to carry out mathematical research in Germany, he has also jointly published more than 100 research papers with his research collaborators, 5 books and edited proceedings of 9 international conferences. He is the founder secretary of the Indian Society of Industrial and Applied Mathematics (ISIAM), which celebrated its Silver Jubilee in January 2016. He is editor-in-chief of the Indian Journal of Industrial and Applied Mathematics, published by the ISIAM, and of the book series Industrial and Applied Mathematics with Springer. Recently he has been elected President of ISIAM which represents India at the Apex forum of Industrial and Applied Mathematics-ICIAM.

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Table of contents (15 chapters)

  • Banach Contraction Fixed Point Theorem

    Siddiqi, Abul Hasan

    Pages 1-14

  • Banach Spaces

    Siddiqi, Abul Hasan

    Pages 15-69

  • Hilbert Spaces

    Siddiqi, Abul Hasan

    Pages 71-143

  • Fundamental Theorems

    Siddiqi, Abul Hasan

    Pages 145-175

  • Differential and Integral Calculus in Banach Spaces

    Siddiqi, Abul Hasan

    Pages 177-225

Buy this book

eBook $69.99
price for USA in USD (gross)
  • ISBN 978-981-10-3725-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $89.99
price for USA in USD
  • ISBN 978-981-10-3724-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Functional Analysis and Applications
Authors
Series Title
Industrial and Applied Mathematics
Copyright
2018
Publisher
Springer Singapore
Copyright Holder
Springer Nature Singapore Pte Ltd.
eBook ISBN
978-981-10-3725-2
DOI
10.1007/978-981-10-3725-2
Hardcover ISBN
978-981-10-3724-5
Series ISSN
2364-6837
Edition Number
1
Number of Pages
XVII, 562
Number of Illustrations and Tables
23 b/w illustrations
Topics