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Differential Geometry and Lie Groups for Physicists (Paperback)
Loot Price: R2,009
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Differential Geometry and Lie Groups for Physicists (Paperback)
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Differential geometry plays an increasingly important role in
modern theoretical physics and applied mathematics. 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.
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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