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  • © 1988

Nonlinear Functional Analysis and its Applications

IV: Applications to Mathematical Physics

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  • ISBN: 978-1-4612-4566-7
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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xxiii
  2. Intorduction

    1. Introduction

      • Eberhard Zeidler
      Pages 1-6
  3. Applications in Mechanics

    1. Front Matter

      Pages 7-7
    2. Basic Equations of Point Mechanics

      • Eberhard Zeidler
      Pages 9-97
  4. Applications in Thermodynamics

    1. Front Matter

      Pages 363-367
    2. Statistical Physics

      • Eberhard Zeidler
      Pages 396-421
  5. Applications in Hydrodynamics

    1. Front Matter

      Pages 431-431
    2. Basic Equations of Hydrodynamics

      • Eberhard Zeidler
      Pages 433-447
    3. Bifurcation and Permanent Gravitational Waves

      • Eberhard Zeidler
      Pages 448-478

About this book

The main concern in all scientific work must be the human being himsel[ This, one should never forget among all those diagrams and equations. Albert Einstein This volume is part of a comprehensive presentation of nonlinear functional analysis, the basic content of which has been outlined in the Preface of Part I. A Table of Contents for all five volumes may also be found in Part I. The Part IV and the following Part V contain applications to mathematical present physics. Our goals are the following: (i) A detailed motivation of the basic equations in important disciplines of theoretical physics. (ii) A discussion of particular problems which have played a significant role in the development of physics, and through which important mathe­ matical and physical insight may be gained. (iii) A combination of classical and modern ideas. (iv) An attempt to build a bridge between the language and thoughts of physicists and mathematicians. Weshall always try to advance as soon as possible to the heart ofthe problern under consideration and to concentrate on the basic ideas.

Keywords

  • Convexity
  • Potential
  • calculus
  • differential equation
  • functional analysis
  • mathematical physics
  • maximum
  • mechanics
  • thermodynamics

Authors and Affiliations

  • Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, Germany

    Eberhard Zeidler

Bibliographic Information

  • Book Title: Nonlinear Functional Analysis and its Applications

  • Book Subtitle: IV: Applications to Mathematical Physics

  • Authors: Eberhard Zeidler

  • DOI: https://doi.org/10.1007/978-1-4612-4566-7

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media, LLC, part of Springer Nature 1988

  • Hardcover ISBN: 978-0-387-96499-7

  • Softcover ISBN: 978-1-4612-8926-5

  • eBook ISBN: 978-1-4612-4566-7

  • Edition Number: 1

  • Number of Pages: XXIII, 993

  • Additional Information: Original German edition in 3 volumes published by Teubner Verlag, Leipzig, 1975/76/77

  • Topics: Analysis, Theoretical, Mathematical and Computational Physics

Buying options

eBook USD 229.00
Price excludes VAT (USA)
  • ISBN: 978-1-4612-4566-7
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book USD 299.99
Price excludes VAT (USA)
Hardcover Book USD 299.99
Price excludes VAT (USA)