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Lectures on Geometric Methods in Mathematical Physics

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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.
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Table of Contents

Infinite-Dimensional Hamiltonian Systems; Elasticity as a Hamiltonian System; Symmetry and Reduction Applications of Reduction; Two Completely Integrable Systems; Bifurcations of a Forced Beam; The Traction Problem in Elastostatics; Bifurcations of Momentum Mappings; The Space of Solutions of Einstein's Equations; Regular and Singular Points.

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