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From the Publisher"Gilmore (physics, Drexel U.) takes an applications-base approach to Lie group theory as it relates to certain branches of applied mathematics and the physical sciences, basically distilling what he considers the most useful material of his much longer book Lie Groups, Lie Algebras, and Some of Their Applications (New York: Wiley, 1974). He begins with a discussion of Lie group theory's intellectual underpinnings in Galois theory and concludes with a chapter on the application of Lie group theory to solving differential equations, both subjects that are relatively rare in texts on Lie group theory. In between he offers chapters on matrix groups, Lie algebras, matrix algebras, operator algebras, EXPonentiation, structure theory for Lie algebras, root spaces and Dynkin diagrams, real forms, Riemannian symmetric spaces, contraction, hydrogenic atoms, and Maxwell's equations."
Book News Inc.
"Gilmore is successful in creating a direct and applied approach to the study of Lie Groups."
E. Kincanon, Gonzaga University for CHOICE
"...lively and stimulating exposition. The numerous and varied exercises are a particular strength of the book and lead the motivated reader to explore the diverse connections of Lie groups with a wide range of modern physics. All in all, Lie Groups, Physics, and Geometry is a worthy addition to the literature..."
Peter J. Olver, Physics Today
"This is a great how-to book, where one can find detailed examples worked out completely, covering many and interesting aspects and applications of group theory."
Julio Guerrero, Mathematical Reviews