Item description for Selected Chapters in the Calculus of Variations: Lecture Notes by Oliver Knill (Lectures in Mathematics. ETH Zürich) by Jürgen Moser...
These lecture notes describe the Aubry-Mather-Theory within the calculus of variations. The text consists of the translated original lectures of Jrgen 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. Differential geometric applications are discussed, in particular billiards and minimal geodesics on the two-dimensional torus. Many exercises and open questions make this book a valuable resource for both teaching and research.
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Est. Packaging Dimensions: Length: 9.2" Width: 6.5" Height: 0.4" Weight: 0.6 lbs.
Release Date Aug 5, 2003
Publisher Birkhäuser Basel
ISBN 3764321857 ISBN13 9783764321857
Availability 137 units. Availability accurate as of Mar 23, 2017 08:31.
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Reviews - What do customers think about Selected Chapters in the Calculus of Variations: Lecture Notes by Oliver Knill (Lectures in Mathematics. ETH Zürich)?
very bad book May 11, 2004
This books contains lecture notes for a course of Moser published after his death in 1999. It is a good example that this practise is not very advisable since certainly Moser would not have been happy with the outcome (the book has been edited by a student of his).
The book is riddled with a very high number of misprints and inaccuracies which leaves the impression that no one has read the book prior to publication. Many results are misstated and hard to understand (for instance the basic theorem 1.4.4. should be ... Assume F_pp\ge 0 on \Omega. Then \gamma^star can be embedded in an extremal field. ...)
The publisher would be well advised to offtake the book immediately and publish a carefully corrected version at a later time.