Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics)
Symmetries and Laplacians: Introduction to Harmonic Analysis, Group Representations and Applications (Dover Books on Mathematics) is backordered and will ship as soon as it is back in stock.
Couldn't load pickup availability
Genuine Products Guarantee
Genuine Products Guarantee
We guarantee 100% genuine products, and if proven otherwise, we will compensate you with 10 times the product's cost.
Delivery and Shipping
Delivery and Shipping
Products are generally ready for dispatch within 1 day and typically reach you in 3 to 5 days.
Book Details
-
Author: David Gurarie
-
Publisher: Dover
-
Language: English
-
Edition: Illustrated
-
ISBN: 9780486462882
-
Pages: 464
-
Cover: Paperback (Illustrated)
-
Dimensions: 9.1 x 6.4 x 1.0 inches
About The Book
"Harmonic Analysis and Group Representations" by David Gurarie provides a solid introduction to harmonic analysis and group representations, bridging the gap between abstract theory and practical application. Aimed at advanced undergraduates or graduate students, this book serves as a comprehensive guide to the essential concepts, ideas, results, and techniques that form the foundation of the field, with a specific focus on symmetry groups and Laplacians.
Professor Gurarie’s approach is built around a wealth of examples that illuminate general theory, covering a broad spectrum of topics rather than delving too deeply into any one area. The book explores both discrete and continuous geometrical objects, such as regular graphs, lattices, and symmetric Riemannian manifolds, making complex topics more accessible.
The text begins with the fundamentals of representation theory, followed by discussions on commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group, among other topics. Several notable applications are also explored, including integrable Hamiltonian systems, geodesic flows on symmetric spaces, and the spectral theory of the Hydrogen atom with its Runge-Lenz symmetry.
Three appendices offer supplemental information, enriching the text with additional resources, and the book concludes with references, a list of frequently used notations, and an index to aid the reader.
This illustrated edition is an essential resource for those studying mathematics, particularly in the fields of harmonic analysis, group representations, and quantum mechanics, providing a balanced approach to theory and application.