Applied Mathematical Sciences

Applied Functional Analysis

Main Principles and Their Applications

Authors: Zeidler, Eberhard

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About this Textbook

A theory is the more impressive, the simpler are its premises, the more distinct are the things it connects, and the broader is its range of applicability. Albert Einstein There are two different ways of teaching mathematics, namely, (i) the systematic way, and (ii) the application-oriented way. More precisely, by (i), I mean a systematic presentation of the material governed by the desire for mathematical perfection and completeness of the results. In contrast to (i), approach (ii) starts out from the question "What are the most important applications?" and then tries to answer this question as quickly as possible. Here, one walks directly on the main road and does not wander into all the nice and interesting side roads. The present book is based on the second approach. It is addressed to undergraduate and beginning graduate students of mathematics, physics, and engineering who want to learn how functional analysis elegantly solves mathematical problems that are related to our real world and that have played an important role in the history of mathematics. The reader should sense that the theory is being developed, not simply for its own sake, but for the effective solution of concrete problems. viii Preface Our introduction to applied functional analysis is divided into two parts: Part I: Applications to Mathematical Physics (AMS Vol. 108); Part II: Main Principles and Their Applications (AMS Vol. 109). A detailed discussion of the contents can be found in the preface to AMS Vol. 108.

Table of contents (5 chapters)

  • The Hahn-Banach Theorem and Optimization Problems

    Zeidler, Eberhard

    Pages 1-37

  • Variational Principles and Weak Convergence

    Zeidler, Eberhard

    Pages 39-165

  • Principles of Linear Functional Analysis

    Zeidler, Eberhard

    Pages 167-223

  • The Implicit Function Theorem

    Zeidler, Eberhard

    Pages 225-279

  • Fredholm Operators

    Zeidler, Eberhard

    Pages 281-370

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-1-4612-0821-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-0-387-94422-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • ISBN 978-1-4612-6913-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Functional Analysis
Book Subtitle
Main Principles and Their Applications
Authors
Series Title
Applied Mathematical Sciences
Series Volume
109
Copyright
1995
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0821-1
DOI
10.1007/978-1-4612-0821-1
Hardcover ISBN
978-0-387-94422-7
Softcover ISBN
978-1-4612-6913-7
Series ISSN
0066-5452
Edition Number
1
Number of Pages
XVI, 406
Topics