Items related to Advanced Methods of Mathematical Physics
Synopsis
The second edition of Advanced Methods of Mathematical Physics has been considerably revised, enlarged and updated. This is typically a two-semester course material for students pursuing Master's degree programs in theoretical physics and mathematics covering such topics as the theory of finite groups, introductory topology and differential geometry, integral equations, Sturm-Liouvilles's theory including Green's functions, stochastic processes and stochastic differential equations, nonlinear dynamics, solution of nonlinear differential and integral equations, symmetries of differential equations and normal modes in nonlinear dynamical systems.
Table of Contents
• General Introduction
• Theory of Finite Group
• Rudiments of Topology and Differential Geometry
• Integral Equations, Sturm-Liouville Theory and Green's Functions
• Stochastic Processes and Stochastic Differential Equations
• Methods of Nonlinear Dynamics I: Phase Portraits
• Methods of Nonlinear Dynamics II: Stability and Bifurcation
• Some Nonlinear Differential Equations and their Solutions
• Some Nonlinear Integral Equations and their Solutions
• Exact Solution of Some Nonlinear Differential Equations
• Symmetries of Differential Equations
• Normal Modes in Nonlinear Dynamical Systems
• Appendix A: Some Numerical Aspects of Nonlinear Dynamical Systems Vis--vis Chaos
• Appendix B: Differentiation and Integration under the Integral Sign
• Appendix C: Further Remarks on the Existence of Limit Cycles in a Lienard System
• Bibliography
• Index.
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About the Author
R. S. Kaushal.: Department of Physics and Astrophysics University of Delhi, Delhi D. Parashar.: Department of Physics, A.R.S.D. College University of Delhi, Delhi
"About this title" may belong to another edition of this title.
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