Overview
- 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
Part of the book series: Industrial and Applied Mathematics (INAMA)
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Table of contents (16 chapters)
Keywords
About this book
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.Authors and Affiliations
About the author
Bibliographic Information
Book Title: Functional Analysis and Applications
Authors: Abul Hasan Siddiqi
Series Title: Industrial and Applied Mathematics
DOI: https://doi.org/10.1007/978-981-10-3725-2
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. 2018
Hardcover ISBN: 978-981-10-3724-5Published: 18 May 2018
Softcover ISBN: 978-981-13-3830-4Published: 10 January 2019
eBook ISBN: 978-981-10-3725-2Published: 04 May 2018
Series ISSN: 2364-6837
Series E-ISSN: 2364-6845
Edition Number: 1
Number of Pages: XVII, 562
Number of Illustrations: 32 b/w illustrations
Topics: Functional Analysis, Mathematical Modeling and Industrial Mathematics, Optimization, Operator Theory, Partial Differential Equations, Algorithms