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Variational Methods in Mathematics, Science and Engineering

  • Karel Rektorys

Table of contents

  1. Front Matter
    Pages 1-9
  2. Preface

    1. Karel Rektorys
      Pages 11-14
  3. Notation Frequently Used

    1. Karel Rektorys
      Pages 15-16
  4. Introduction

    1. Karel Rektorys
      Pages 17-20
  5. Hilbert Space

  6. Variational Methods

    1. Karel Rektorys
      Pages 121-132
    2. Karel Rektorys
      Pages 146-152
    3. Karel Rektorys
      Pages 153-160
    4. Karel Rektorys
      Pages 161-165
    5. Karel Rektorys
      Pages 166-171
    6. Karel Rektorys
      Pages 172-177
    7. Karel Rektorys
      Pages 178-185
  7. Application of Variational Methods to the Solution of Boundary Value Problems in Ordinary and Partial Differential Equations

  8. Theory of Boundary Value Problems in Differential Equations Based on the Concept of a Weak Solution and on the Lax-Milgram Theorem

  9. The Eigenvalue Problem

    1. Karel Rektorys
      Pages 441-444
    2. Karel Rektorys
      Pages 445-461
    3. Karel Rektorys
      Pages 477-494
    4. Karel Rektorys
      Pages 495-501
  10. Some Special Methods. Regularity of the Weak Solution

About this book

Introduction

The impulse which led to the writing of the present book has emerged from my many years of lecturing in special courses for selected students at the College of Civil Engineering of the Tech­ nical University in Prague, from experience gained as supervisor and consultant to graduate students-engineers in the field of applied mathematics, and - last but not least - from frequent consultations with technicians as well as with physicists who have asked for advice in overcoming difficulties encountered in solving theoretical problems. Even though a varied combination of problems of the most diverse nature was often in question, the problems discussed in this book stood forth as the most essential to this category of specialists. The many discussions I have had gave rise to considerations on writing a book which should fill the rather unfortunate gap in our literature. The book is designed, in the first place, for specialists in the fields of theoretical engineering and science. However, it was my aim that the book should be of interest to mathematicians as well. I have been well aware what an ungrateful task it may be to write a book of the present type, and what problems such an effort can bring: Technicians and physicists on the one side, and mathematicians on the other, are often of diametrically opposing opinions as far as books con­ ceived for both these categories are concerned.

Keywords

Mathematica applied mathematics design differential equation elasticity finite element method operator partial differential equation science

Authors and affiliations

  • Karel Rektorys
    • 1
  1. 1.PragueCzech Republic

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-6450-4
  • Copyright Information Springer Science+Business Media B.V. 1977
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-011-6452-8
  • Online ISBN 978-94-011-6450-4
  • Buy this book on publisher's site