Differential Geometry and Lie Groups for Physicists
Differential Geometry and Lie Groups for Physicists Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. Written in an informal style, the…
Specifikacia Differential Geometry and Lie Groups for Physicists
Differential Geometry and Lie Groups for Physicists
Differential geometry plays an increasingly important role in modern theoretical physics and applied mathematics. 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. This 2006 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.
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 book will prepare readers for studying modern treatments of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. The required mathematical background knowledge does not go beyond the level of standard introductory undergraduate mathematics courses.
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