By Steinar Johannesen
This booklet offers a scientific presentation of the mathematical beginning of contemporary physics with functions quite inside classical mechanics and the speculation of relativity. Written to be self-contained, Smooth Manifolds and Fibre Bundles with functions to Theoretical Physics offers whole and rigorous proofs of all of the effects awarded inside of.
Among the subjects illustrated within the publication are differentiable manifolds, differential types, fiber bundles and differential geometry with non-trivial functions particularly in the common concept of relativity. The emphasis is upon a scientific and logical building of the mathematical foundations. it may be used as a textbook for a natural arithmetic direction in differential geometry, assuming the reader has a very good figuring out of uncomplicated research, linear algebra and element set topology. The ebook also will attract scholars of theoretical physics attracted to the mathematical starting place of the theories.
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Smooth Manifolds and Fibre Bundles with Applications to Theoretical Physics by Steinar Johannesen