Topology and Geometry for Physics (Lecture Notes in Physics Book 822) 1st Edition by Helmut Eschrig (PDF)

Description

A concise but self-contained introduction of the central concepts of modern topology and differential geometry on a mathematical level is given specifically with applications in physics in mind. All basic concepts are systematically provided including sketches of the proofs of most statements. Smooth finite-dimensional manifolds, tensor and exterior calculus operating on them, homotopy, (co)homology theory including Morse theory of critical points, as well as the theory of fiber bundles and Riemannian geometry, are treated. Examples from physics comprise topological charges, the topology of periodic boundary conditions for solids, gauge fields, geometric phases in quantum physics and gravitation.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I have mixed feelings about this series. Parts of it I find great, the section on connections in principal bundles is very detailed and has great examples in physics. However, the book is riddled with typos and grammatical mistakes that can make the text quite confusing. Also the definitions the author chooses are sometimes the most abstract and unhelpful versions, that are never needed in physics and don’t help the reader at all. If it weeren’t for these two things I would probably give the book 4 or 5 stars, but these two obstacles make it a difficult book to read.

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