Symmetries and Laplacians is popular PDF and ePub book, written by David Gurarie in 2007-12-21, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Symmetries and Laplacians can be Read Online from any device for your convenience.
Symmetries and Laplacians Book PDF Summary
Designed as an introduction to harmonic analysis and group representations, this book examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory, covering a wide range of topics rather than delving deeply into any particular area. Author David Gurarie, a Professor of Mathematics at Case Western Reserve University, focuses on discrete or continuous geometrical objects and structures, such as regular graphs, lattices, and symmetric Riemannian manifolds. Starting with the basics of representation theory, Professor Gurarie discusses commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. Among numerous applications included are integrable hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom (Schrodinger operator with Coulomb potential) explicated by its Runge-Lenz symmetry. Three helpful appendixes include supplemental information, and the text concludes with references, a list of frequently used notations, and an index.
Detail Book of Symmetries and Laplacians PDF
- Author : David Gurarie
- Release : 21 December 2007
- Publisher : Courier Corporation
- ISBN : 9780486462882
- Genre : Mathematics
- Total Page : 466 pages
- Language : English
- PDF File Size : 16,7 Mb
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