Differential geometry and lie groups for physicists

Differential 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, symp...

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Bibliographic Details
Main Author: Fecko, Marián
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2006
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Differential geometry and lie groups for physicists  |c Marián Fecko 
246 3 1 |a Differential Geometry & Lie Groups for Physicists 
260 |a Cambridge  |b Cambridge University Press  |c 2006 
300 |a xv, 697 pages  |b digital 
653 |a Geometry, Differential 
653 |a Lie groups 
653 |a Mathematical physics 
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520 |a Differential 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