Selected Chapters in the Calculus of Variations /
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...
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| Format: | eBook |
| Language: | English |
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Basel :
Birkhäuser Basel : Imprint : Birkhäuser,
2003.
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| Series: | Lectures in mathematics ETH Zürich.
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| Online Access: | Connect to the full text of this electronic book |
| Summary: | 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. 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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| Item Description: | Electronic resource. |
| Physical Description: | 1 online resource (vi, 134 pages) |
| ISBN: | 9783034880572 (electronic bk.) 303488057X (electronic bk.) |