Nonlinear Functional Analysis and its Applications

IV: Applications to Mathematical Physics

  • Eberhard Zeidler

Table of contents

  1. Front Matter
    Pages i-xxiii
  2. Intorduction

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

  4. Applications in Elasticity Theory

  5. Applications in Thermodynamics

    1. Front Matter
      Pages 363-367
    2. Eberhard Zeidler
      Pages 396-421
  6. Applications in Hydrodynamics

    1. Front Matter
      Pages 431-431
    2. Eberhard Zeidler
      Pages 433-447
    3. Eberhard Zeidler
      Pages 448-478
    4. Eberhard Zeidler
      Pages 479-526
  7. Manifolds and Their Applications

    1. Front Matter
      Pages 527-527
    2. Eberhard Zeidler
      Pages 529-608
    3. Eberhard Zeidler
      Pages 694-729
    4. Eberhard Zeidler
      Pages 730-793
    5. Eberhard Zeidler
      Pages 817-839
    6. Eberhard Zeidler
      Pages 840-882
  8. Back Matter
    Pages 883-993

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.


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

Authors and affiliations

  • Eberhard Zeidler
    • 1
  1. 1.Max-Planck-Institut für Mathematik in den NaturwissenschaftenLeipzigGermany

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