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- catalog abstract "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.".
- catalog contributor b12852746.
- catalog contributor b12852747.
- catalog created "c2003.".
- catalog date "2003".
- catalog date "c2003.".
- catalog dateCopyrighted "c2003.".
- catalog description "Includes bibliographical references (p. [121]-128) and index.".
- catalog description "Introduction -- 1. One-dimensional variational problems -- 2. Extremal fields and global minimal -- 3. Discrete Systems, applications -- Bibliography -- Remarks on the literature -- Additional bibliography.".
- catalog description "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.".
- catalog extent "132 p. ;".
- catalog identifier "0817621857 (Boston : acid-free paper)".
- catalog identifier "3764321857 (acid-free paper)".
- catalog isPartOf "Lectures in mathematics ETH Zürich".
- catalog issued "2003".
- catalog issued "c2003.".
- catalog language "eng".
- catalog publisher "Basel ; Boston, MA : Birkhäuser,".
- catalog subject "515/.64 21".
- catalog subject "Calculus of variations.".
- catalog subject "Global differential geometry.".
- catalog subject "Mathematical optimization.".
- catalog subject "Mathematics.".
- catalog subject "QA315 .M67 2003".
- catalog tableOfContents "Introduction -- 1. One-dimensional variational problems -- 2. Extremal fields and global minimal -- 3. Discrete Systems, applications -- Bibliography -- Remarks on the literature -- Additional bibliography.".
- catalog title "Selected chapters in the calculus of variations / Jürgen Moser ; lecture notes by Oliver Knill.".
- catalog type "text".