Download Differential Geometry and Lie Groups for Physicists by Marián Fecko PDF

By Marián Fecko

Differential geometry performs an more and more very important function in sleek theoretical physics and utilized arithmetic. This textbook provides an advent to geometrical themes beneficial in theoretical physics and utilized arithmetic, masking: manifolds, tensor fields, differential varieties, connections, symplectic geometry, activities of Lie teams, bundles, spinors, and so forth. Written in an off-the-cuff sort, the writer locations a powerful emphasis on constructing the certainty of the final conception via greater than a thousand easy routines, with entire ideas or specific tricks. The booklet will arrange readers for learning sleek remedies of Lagrangian and Hamiltonian mechanics, electromagnetism, gauge fields, relativity and gravitation. Differential Geometry and Lie teams for Physicists is easily fitted to classes in physics, arithmetic and engineering for complex undergraduate or graduate scholars, and will even be used for energetic self-study. the necessary mathematical heritage wisdom doesn't transcend the extent of normal introductory undergraduate arithmetic courses.

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