Selected Chapters in the Calculus of Variations
by Jürgen Moser
Publisher: Birkhäuser 2003
Number of pages: 140
These lecture notes describe the Aubry-Mather-Theory within the calculus of variations. The text consists of the translated original lectures of Jürgen Moser and a bibliographic appendix with comments on the current state of the art in this field of interest. Students will find a rapid introduction to the calculus of variations, leading to modern dynamical systems theory.
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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 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 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 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.