Functional Analysis and Applications

  • Abul Hasan Siddiqi

Part of the Industrial and Applied Mathematics book series (INAMA)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. Abul Hasan Siddiqi
    Pages 1-14
  3. Abul Hasan Siddiqi
    Pages 15-69
  4. Abul Hasan Siddiqi
    Pages 71-143
  5. Abul Hasan Siddiqi
    Pages 145-175
  6. Abul Hasan Siddiqi
    Pages 177-225
  7. Abul Hasan Siddiqi
    Pages 227-247
  8. Abul Hasan Siddiqi
    Pages 249-276
  9. Abul Hasan Siddiqi
    Pages 277-309
  10. Abul Hasan Siddiqi
    Pages 311-350
  11. Abul Hasan Siddiqi
    Pages 351-380
  12. Abul Hasan Siddiqi
    Pages 381-397
  13. Abul Hasan Siddiqi
    Pages 399-463
  14. Abul Hasan Siddiqi
    Pages 497-508
  15. Abul Hasan Siddiqi
    Pages 509-519
  16. Back Matter
    Pages 521-562

About this book

Introduction

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.

Keywords

Functional Analysis Optimization Theory and Algorithms Operator Equations Finite Elements Methods Boundary Elements Methods Variational Inequalities Inverse Problems and Regularization Frames and Wavelet Theory Numerical Methods Gabor Analysis Image Processing

Authors and affiliations

  • Abul Hasan Siddiqi
    • 1
  1. 1.School of Basic Sciences and ResearchSharda UniversityGreater NoidaIndia

Bibliographic information

  • DOI https://doi.org/10.1007/978-981-10-3725-2
  • Copyright Information Springer Nature Singapore Pte Ltd. 2018
  • Publisher Name Springer, Singapore
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-981-10-3724-5
  • Online ISBN 978-981-10-3725-2
  • Series Print ISSN 2364-6837
  • Series Online ISSN 2364-6845
  • About this book
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