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" Selected chapters in the calculus of variations "
Jürgen Moser ; lecture notes by Oliver Knill.
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BL
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| Record Number
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768001
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b587987
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| Main Entry
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Jürgen Moser ; lecture notes by Oliver Knill.
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| Title & Author
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Selected chapters in the calculus of variations\ Jürgen Moser ; lecture notes by Oliver Knill.
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| Publication Statement
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Basel : Birkhäuser, ©2003.
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| Series Statement
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Lectures in mathematics ETH Zürich.
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132 p. : il. ; 24 cm
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| ISBN
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3764321857
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: 9783764321857
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| Contents
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1 One-dimensional variational problems.- 1.1 Regularity of the minimals.- 1.2 Examples.- 1.3 The accessory variational problem.- 1.4 Extremal fields for n=1.- 1.5 The Hamiltonian formulation.- 1.6 Exercises to Chapter 1.- 2 Extremal fields and global minimals.- 2.1 Global extremal fields.- 2.2 An existence theorem.- 2.3 Properties of global minimals.- 2.4 A priori estimates and a compactness property.- 2.5 Ma for irrational a, Mather sets.- 2.6 Ma for rational a.- 2.7 Exercises to chapter II.- 3 Discrete Systems, Applications.- 3.1 Monotone twist maps.- 3.2 A discrete variational problem.- 3.3 Three examples.- 3.4 A second variational problem.- 3.5 Minimal geodesics on T2.- 3.6 Hedlund's metric on T3.- 3.7 Exercises to chapter III.- A Remarks on the literature.- Additional Bibliography.
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| Subject
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Càlcul de variacions.
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Equacions diferencials.
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| LC Classification
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QA315.J874 2003
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| Added Entry
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Jürgen Moser
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Oliver Knill
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