Book:Charles Fox/An Introduction to the Calculus of Variations/Second Edition

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Charles Fox: An Introduction to the Calculus of Variations (2nd Edition)

Published $1963$, Dover Publications

ISBN 0-486-65499-0.

Subject Matter


I. The First Variation
II. The Second Variation
III. Generalizations of the Results of the Previous Chapter
IV. Relative Maxima and Minima and Isoperimetrical Problems
V. Hamilton's Principle and the Principle of Least Action
VI. Hamilton's Principle in the Special Theory of Relativity
VII. Approximation Methods with Applications to Problems of Elasticity
VIII. Integrals with Variable End Points. Hilbert's Integral
IX. Strong Variations and the Weierstrassian $E$ Function