by R. Tyrrell Rockafellar, Roger J-B Wets
Publisher: Springer 2009
Number of pages: 743
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and 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, and normal integrands.
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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.
by Erich Miersemann - Leipzig University
These 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.
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 Jürgen Moser - Birkhäuser
These notes describe the Aubry-Mather-Theory within the calculus of variations. The text consists of the original lectures of Juergen Moser and a bibliographic appendix with comments on the current state of the art in this field of interest.