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

Subject Matter

 * Calculus of Variations

Contents

 * Preface


 * 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


 * Index