Excellent text provides basis for thorough understanding of the problems, methods and techniques of the calculus of variations and prepares readers for the study of modern optimal control theory. Treatment limited to extensive coverage of single integral problems in 1 and more unknown functions. Carefully chosen variational problems and over 400 exercises. 1969 edition. Bibliography.
Calculus of Variations by Robert Weinstock Basic introduction covering isoperimetric problems, theory of elasticity, quantum mechanics, electrostatics, geometrical optics, particle dynamics, more. Exercises throughout. "A very useful book." — J. L. Synge, American Mathematical Monthly.
Calculus of Variations with Applications by George M. Ewing Applications-oriented introduction to variational theory develops insight and promotes understanding of specialized books and research papers. Suitable for advanced undergraduate and graduate students as a primary or supplementary text. 1969 edition.
A Course in Advanced Calculus by Robert S. Borden An excellent undergraduate text examines sets and structures, limit and continuity in En, measure and integration, differentiable mappings, sequences and series, applications of improper integrals, more. Problems with tips and solutions for some.
Calculus of Variations by Lev D. Elsgolc This text offers an introduction to the fundamentals and standard methods of the calculus of variations, covering fixed and movable boundaries, plus solutions of variational problems. 1961 edition.
