Introduction to Hilbert Spaces with Applications - 3rd Edition - ISBN: 9781493300358, 9780080455921

Introduction to Hilbert Spaces with Applications

3rd Edition

Print ISBN: 9781493300358
eBook ISBN: 9780080455921
Imprint: Academic Press
Published Date: 29th September 2005
Page Count: 600
116.95 + applicable tax
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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.

Key Features

  • Updated chapter on wavelets
  • Improved presentation on results and proof
  • Revised examples and updated applications
  • Completely updated list of references .


2-semester course on Functional Analysis or Hilbert space course for junior-senior-grad math students, Also researchers and others interested in math theory.

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


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© Academic Press 2006
Academic Press
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"...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