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Differential Geometry and Lie Groups for Physicists
QAR 278
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This textbook develops your understanding of complex geometrical topics through more than 1000 simple exercises with complete solutions.
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- 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.
| Publisher | Cambridge University Press |
| Publication date | March 3, 2011 |
| Edition | Reissue |
| Language | English |
| Print length | 714 pages |
| ISBN-10 | 0521187966 |
| ISBN-13 | 978-0521187961 |
| Item Weight | 2.47 pounds (1.12 kg) |
| Dimensions | 6.69 x 1.61 x 9.61 inches (17 x 4.1 x 24.4 cm) |
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Differential Geometry and Lie Groups for Physicists
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Features & Benefits
- Covers essential topics in modern theoretical physics and applied mathematics.
- Includes more than 1000 simple exercises for effective learning.
- Emphasizes a strong understanding of differential geometry and Lie groups.
- Accessible to advanced undergraduates and graduate students.
- Perfect for courses in physics, mathematics, and engineering.
- Ideal for both classroom use and independent self-study.
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