Differential Geometry and Lie Groups for Physicists
By (author) Marian Fecko
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Differential Geometry and Lie Groups for Physicists by Marian Fecko
Book DescriptionDifferential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. This textbook gives an introduction to geometrical topics useful in theoretical physics and applied mathematics, covering: manifolds, tensor fields, differential forms, connections, symplectic geometry, actions of Lie groups, bundles, spinors, and so on. Written in an informal style, the author places a strong emphasis on developing the understanding of the general theory through more than 1000 simple exercises, with complete solutions or detailed hints. The book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie Groups for Physicists is well suited for courses in physics, mathematics and engineering for advanced undergraduate or graduate students, and can also be used for active self-study. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
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Book DetailsISBN: 9780521845076
(247mm x 174mm x 38mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 12-Oct-2006
Country of Publication: United Kingdom
Books By Author Marian Fecko
Differential Geometry and Lie Groups for Physicists, Paperback (March 2011)» View all books by Marian Fecko
An advanced undergraduate and graduate textbook introducing differential geometry for theoretical physics and applied mathematics.
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