Calculus of Variations
by Erich Miersemann
Publisher: Leipzig University 2012
Number of pages: 195
These lecture notes are intended as a straightforward introduction to the calculus of variations which can serve as a textbook for undergraduate and beginning graduate students. The text covers functions of n variables and ordinary differential equations.
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by R. Tyrrell Rockafellar, Roger J-B Wets - Springer
This book provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, etc.
by Harris Hancock - Cincinnati University Press
Instead of giving separate accounts of Legendre's and Jacobi's works introductory to the general treatment, I have produced their discoveries in the proper places in the text, and avoided confusion which otherwise might be experienced by students...
by Oskar Bolza - The University of Chicago press
The emphasis lies entirely on the theoretical side: I have endeavored to give clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demonstrations. Difficult points have received special attention.
by Isaac Todhunter - Adamant Media Corporation
The book traces the progress of the Calculus of Variations during the nineteenth century: Lagrange and and Lacroix, Dirksen and Ohm, Gauss, Poisson, Ostrogradsky, Delaunay, Sarrus, Cauchy, Legendre, Brunacci, and Jacobi.