โ Scribed by Jerrold E. Marsden
No coin nor oath required. For personal study only.
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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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.
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.
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.
This book is only readable AFTER you have read Schutz "Introduction to general relativity", the latter is a much better book.One key flaw is that the author tries to cover lots of stuff in very little space, which requires read to take leap of faith. Lie group and Lie algebra are not covered well in
This book is only readable AFTER you have read Schutz "Introduction to general relativity", the latter is a much better book. One key flaw is that the author tries to cover lots of stuff in very little space, which requires read to take leap of faith. Lie group and Lie algebra are not covered well