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Lectures on the Calculus of VariationsLectures on the Calculus of Variations
by Oskar Bolza - The University of Chicago press , 1904
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.

Variational AnalysisVariational Analysis
by R. Tyrrell Rockafellar, Roger J-B Wets - Springer , 2009
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.

Calculus of VariationsCalculus of Variations
by Erich Miersemann - Leipzig University , 2012
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.

Selected Chapters in the Calculus of VariationsSelected Chapters in the Calculus of Variations
by Jürgen Moser - Birkhäuser , 2003
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.

A History of the Progress of the Calculus of Variations during the Nineteenth CenturyA History of the Progress of the Calculus of Variations during the Nineteenth Century
by Isaac Todhunter - Adamant Media Corporation , 2005
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.