Introduction to Hilbert Spaces with Applications

Author:   Lokenath Debnath (University of Central Florida, Orlando, U.S.A.) ,  Piotr Mikusinski (University of Central Florida, Orlando, U.S.A.)
Publisher:   Elsevier Science Publishing Co Inc
Edition:   3rd edition
ISBN:  

9780122084386


Pages:   600
Publication Date:   08 November 2005
Format:   Hardback
Availability:   Awaiting stock   Availability explained
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Introduction to Hilbert Spaces with Applications


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Overview

Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, Third Edition, offers an overview of the basic ideas and results of Hilbert space theory and functional analysis. It acquaints students with the Lebesgue integral, and includes an enhanced presentation of results and proofs. Students and researchers will benefit from the wealth of revised examples in new, diverse applications as they apply to optimization, variational and control problems, and problems in approximation theory, nonlinear instability, and bifurcation. The text also includes a popular chapter on wavelets that has been completely updated. Students and researchers agree that this is the definitive text on Hilbert Space theory.

Full Product Details

Author:   Lokenath Debnath (University of Central Florida, Orlando, U.S.A.) ,  Piotr Mikusinski (University of Central Florida, Orlando, U.S.A.)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Academic Press Inc
Edition:   3rd edition
Dimensions:   Width: 15.20cm , Height: 3.90cm , Length: 22.90cm
Weight:   1.060kg
ISBN:  

9780122084386


ISBN 10:   0122084381
Pages:   600
Publication Date:   08 November 2005
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

CHAPTER 1 Normed Vector Spaces CHAPTER 2 The Lebesgue Integral CHAPTER 3 Hilbert Spaces and Orthonormal Systems CHAPTER 4 Linear Operators on Hilbert Spaces CHAPTER 5 Applications to Integral and Differential Equations CHAPTER 6 Generalized Functions and Partial Differential Equations CHAPTER 7 Mathematical Foundations of Quantum Mechanics CHAPTER 8 Wavelets and Wavelet Transforms CHAPTER 9 Optimization Problems and Other Miscellaneous Applications

Reviews

...this is a very useful and good book and it can find a place in the library of anybody interested in functional analysis, particularly Hilbert Spaces and their applications. -MAA REVIEWS


Author Information

Lokenath Debnath is Professor of the Department of Mathematics and Professor of Mechanical and Aerospace Engineering at the University of Central Florida in Orlando. He received his M.Sc. and Ph.D. degrees in pure mathematics from the University of Calcutta, and obtained D.I.C. and Ph.D. degrees in applied mathematics from the Imperial College of Science and Technology, University of London. He was a Senior Research Fellow at the University of Cambridge and has had visiting appointments to several universities in the United States and abroad. His many honors and awards include two Senior Fulbright Fellowships and an NSF Scientist award to visit India for lectures and research. Dr. Debnath is author or co-author of several books and research papers in pure and applied mathematics, and serves on several editorial boards for scientific journals. He is the current and founding Managing Editor of the International Journal of Mathematics and Mathematical Sciences. Piotr Mikusinski received his Ph.D. in mathematics from the Institute of Mathematics of the Polish Academy of Sciences. In 1983, he became visiting lecturer at the University of California at Santa Barbara, where he spent two years. He is currently a member of the faculty in the Department of Mathematics at the University of Central Florida in Orlando. His main research interests are the theory of generalized functions and real analysis. He has published many research articles and is co-author with his father, Jan Mikusinski, of An Introduction to Analysis: From Number to Integral.

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