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| INTRODUCTION TO HILBERT SPACES WITH APPLICATIONS
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To order this title, and for more information, click here
Third Edition
By
Lokenath Debnath, University of Central Florida, Orlando, U.S.A.
Piotr Mikusinski, University of Central Florida, Orlando, U.S.A.
Description
Building on the success of the two previous editions, Introduction to Hilbert Spaces with Applications, 3E, 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.
Audience
2-semester course on Functional Analysis or Hilbert space course for junior-senior-grad math students, Also researchers and others interested in math theory.
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
| Bibliographic details |
Hardbound, 600 pages, publication date: SEP-2005
ISBN-13: 978-0-12-208438-6
ISBN-10: 0-12-208438-1
Imprint: ACADEMIC PRESS
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| Price and Ordering |
Price:
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USD 108
GBP 64.99
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Last update: 5 Sep 2009
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