ENGLISH

Lectures on geometric methods in mathematical physics

By Jerrold E. Marsden

Book information

Publisher
Society for Industrial and Applied Mathematics
Year
1987
ISBN
9780898711707, 0898711703
Language
english
Format
DJVU
Filesize
784 kB (803159 bytes)
Series
CBMS-NSF regional conference series in applied mathematics 37
Pages
108\108
Time added
2010-05-31 15:29:46

Description

A monograph on some of the ways geometry and analysis can be used in mathematical problems of physical interest. The roles of symmetry, bifurcation, and Hamiltonian systems in diverse applications are explored. Lectures on Geometric Methods in Mathematical Physics......Page 1 Contents......Page 8 Acknowledgments......Page 10 Introduction......Page 12 LECTURE 1 Infinite Dimensional Hamiltonian Systems......Page 16 LECTURE 2 Elasticity as a Hamiltonian System1......Page 26 LECTURE 3 Symmetry and Reduction......Page 34 LECTURE 4 Applications of Reduction......Page 40 LECTURE 5 Two Completely Integrable Systems......Page 50 LECTURE 6 Bifurcations of a Forced Beam1......Page 58 LECTURE 7 The Traction Problem in Elastostatics1......Page 70 LECTURE 8 Bifurcations of Momentum Mappings1......Page 78 LECTURE 9 The Space of Solutions of Einstein's Equations:Regular Points1......Page 88 LECTURE 10 The Space of Solutions of Einstein's Equations:Singular Points1......Page 96 References......Page 102

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