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Selected Chapters in the Calculus of Variations (Lectures in Mathematics. ETH Zürich)
Jurgen Moser
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Description for Selected Chapters in the Calculus of Variations (Lectures in Mathematics. ETH Zürich)
Paperback. Series: Lectures in Mathematics. ETH Zurich. Num Pages: 134 pages, 11 black & white illustrations, 1 colour illustrations, biography. BIC Classification: P; YQM. Category: (G) General (US: Trade). Dimension: 240 x 170 x 7. Weight in Grams: 530.
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 ... Read more
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 ... Read more
Product Details
Publisher
Birkhäuser
Format
Paperback
Publication date
2003
Series
Lectures in Mathematics. ETH Zurich
Condition
New
Number of Pages
134
Place of Publication
Basel, Switzerland
ISBN
9783764321857
SKU
V9783764321857
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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