Chapter 9. Calculus of Variations: Fundamentals

  1. Dr. Michio Masujima

Published Online: 27 NOV 2009

DOI: 10.1002/9783527627745.ch9

Applied Mathematical Methods in Theoretical Physics, Second Edition

Applied Mathematical Methods in Theoretical Physics, Second Edition

How to Cite

Masujima, M. (2009) Calculus of Variations: Fundamentals, in Applied Mathematical Methods in Theoretical Physics, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627745.ch9

Author Information

  1. Tokyo, Japan

Publication History

  1. Published Online: 27 NOV 2009
  2. Published Print: 19 AUG 2009

ISBN Information

Print ISBN: 9783527409365

Online ISBN: 9783527627745

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Keywords:

  • theoretical physics;
  • applied mathematical methods;
  • calculus of variations;
  • Weierstrass–Erdmann corner relation

Summary

This chapter contains sections titled:

  • Historical Background

  • Examples

  • Euler Equation

  • Generalization of the Basic Problems

  • More Examples

  • Differential Equations, Integral Equations, and Extremization of Integrals

  • The Second Variation

  • Weierstrass–Erdmann Corner Relation

  • Problems for Chapter 9