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Nonlinear Functional Analysis and its Applications

IV: Applications to Mathematical Physics

  • Book
  • © 1988

Overview

Authors:
  1. Eberhard Zeidler

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

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-xxiii
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  2. Intorduction

    1. Introduction

      • Eberhard Zeidler
      Pages 1-6

  3. Applications in Mechanics

    1. Front Matter

      Pages 7-7
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    2. Basic Equations of Point Mechanics

      • Eberhard Zeidler
      Pages 9-97

    3. Dualism Between Wave and Particle, Preview of Quantum Theory, and Elementary Particles

      • Eberhard Zeidler
      Pages 98-141

  5. Applications in Thermodynamics

    1. Front Matter

      Pages 363-367
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    2. Phenomenological Thermodynamics of Quasi-Equilibrium and Equilibrium States

      • Eberhard Zeidler
      Pages 369-395

    3. Statistical Physics

      • Eberhard Zeidler
      Pages 396-421

    4. Continuation with Respect to a Parameter and a Radiation Problem of Carleman

      • Eberhard Zeidler
      Pages 422-430

  6. Applications in Hydrodynamics

    1. Front Matter

      Pages 431-431
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    2. Basic Equations of Hydrodynamics

      • Eberhard Zeidler
      Pages 433-447

    3. Bifurcation and Permanent Gravitational Waves

      • Eberhard Zeidler
      Pages 448-478
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Keywords

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.

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: 978-0-387-96499-7Published: 02 March 1988

  • Softcover ISBN: 978-1-4612-8926-5Published: 27 November 2013

  • eBook ISBN: 978-1-4612-4566-7Published: 01 December 2013

  • 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

  • Industry Sectors: Energy, Utilities & Environment, Engineering, IT & Software

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