Posted by **roxul** at May 25, 2016

English | ISBN: 981439047X | 2012 | 500 pages | PDF | 2 MB

Posted by **interes** at Jan. 5, 2017

English | 2014 | ISBN: 0821891383 | 299 pages | PDF | 3 MB

Posted by **ChrisRedfield** at June 3, 2015

Published: 2010-11-30 | ISBN: 364211041X | PDF + DJVU | 369 pages | 14.07 MB

Posted by **FenixN** at May 6, 2015

29xHDRip | WMV/WMV3, ~743 kb/s | 640x480 | Duration: 24:04:34 | English: WMA, 48 kb/s (1 ch) | 7.01 GB

Necessary and sufficient conditions for a weak and strong extremum. Legendre transformation, Hamiltonian systems. Constraints and Lagrange multipliers. Space-time problems with examples from elasticity, electromagnetics, and fluid mechanics. Sturm-Liouville problems. Approximate methods.

Posted by **tanas.olesya** at April 22, 2017

English | 8 Nov. 2004 | ISBN: 186094499X, 1860945082 | 240 Pages | PDF | 4 MB

The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is still evolving.

Posted by **arundhati** at March 23, 2017

2016 | ISBN-10: 1444337955 | 648 pages | PDF | 8 MB

Posted by **interes** at Feb. 21, 2017

by Dana Ortansa Dorohoi and Andreea Irina Barzic

English | 2017 | ISBN: 1498775802 | 242 pages | PDF | 4,5 MB

Posted by **nebulae** at Feb. 5, 2017

English | ISBN: 0486648567 | 2016 | 352 pages | PDF, DJVU | 17 + 4 MB

Posted by **interes** at Jan. 14, 2017

English | 2007-12-21 | ISBN: 0071441808 | 1000 pages | PDF | 7,9 MB

Posted by **lengen** at Jan. 5, 2017

English | Oct. 10, 2008 | ISBN: 3764321857 | 140 Pages | PDF | 9 MB

0.1 Introduction These lecture notes describe a new development in the calculus of variations which is called Aubry-Mather-Theory. The starting point for the theoretical physicist Aubry was a model for the descrip tion of the motion of electrons in a two-dimensional crystal. Aubry investigated a related discrete variational problem and the corresponding minimal solutions. On the other hand, Mather started with a specific class of area-preserving annulus mappings, the so-called monotone twist maps. These maps appear in mechanics as Poincare maps. Such maps were studied by Birkhoff during the 1920s in several papers. In 1982, Mather succeeded to make essential progress in this field and to prove the existence of a class of closed invariant subsets which are now called Mather sets. His existence theorem is based again on a variational principle.