Mathematical Perspectives on Theoretical Physics: A Journey from Black Holes to Superstrings

Complex Functions, Riemann Surfaces and Two-Dimensional Conformal Field Theory (an Introduction); Elements of Group Theory and Group Representations; A Primer on Operators; Basics of Algebras and Related Concepts; Infinite-Dimensional Algebras; The Role of Symmetry in Physics and Mathematics; All That's Super - An Introduction; Gravitation, Relativity and Black Holes; Basics of Quantum Theory; Theory of Yang-Mills and the Yang-Mills-Higgs Mechanism; Strings and Superstrings (Elementary Aspects).

"A very serious and scholarly work which deserves ... the attention of the physics community." Claude R Canizares Associate Provost Massachusetts Institute of Technology, Cambridge "There is no better book than that of Prakash. It serves as a bridge between research cognoscenti and the simpler folks who use mathematical physics." Ulrich Gerlach Ohio State University, Columbus "A comprehensive mathematical resource for the topics covered." Mike Guidry University of Tennessee, Knoxville "An encyclopaedic work which will serve as an excellent resource for physicists." Kenneth A Ross University of Oregon, Eugene "Invaluable source for references and exercises on a wide range of topics in mathematical physics." Kamesh Wali Syracuse University, New York "Its chapters are many and long, but the individual sections are short and well-constructed. The exercises are accessible and hints provided. I recommend the book." Michael Berg Loyola Marymont University, Los Angeles