Functional Analysis and Applications | Buch

Cover: 9789811037245 | Functional Analysis and Applications | Abul Hasan Siddiqi | Buch

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Beschreibung

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.

Über den Autor

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.

Zusammenfassung

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

Inhaltsverzeichnis

Metric Spaces and Banach Fixed Point Theorem.- Banach Spaces.- Hilbert Space.- Fundamental Theorems.- Differential and Integral Calculus in Banach Spaces.- Optimisation Problems.- Operator Equations and Variational Methods.- Finite Element and Boundary Element Methods.- Variational Inequalities and Applications.- Spectral Theory with Application.- Frame and Basis Theory in Hilbert Spaces.- Wavelet Theory.- Wavelet Method for Partial Dierential Equations and Image Processing.- Wavelet Frames.- Gabor Analysis.

Details

Erscheinungsjahr:	2018
Fachbereich:	Analysis
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Reihe:	Industrial and Applied Mathematics
Inhalt:	xvii 562 S. 32 s/w Illustr. 562 p. 32 illus.
ISBN-13:	9789811037245
ISBN-10:	9811037248
Sprache:	Englisch
Herstellernummer:	978-981-10-3724-5
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Siddiqi, Abul Hasan
Auflage:	1st ed. 2018
Hersteller:	Springer Singapore Springer Nature Singapore Industrial and Applied Mathematics
Maße:	241 x 160 x 37 mm
Von/Mit:	Abul Hasan Siddiqi
Erscheinungsdatum:	18.05.2018
Gewicht:	1,033 kg

Artikel-ID: 111093266