TY  - BOOK
AU  - Sussman, Gerald Jay
AU  - Wisdom, Jack
AB  - An explanation of the mathematics needed as a foundation for a deep understanding of general relativity or quantum field theory.Physics is naturally expressed in mathematical language. Students new to the subject must simultaneously learn an idiomatic mathematical language and the content that is expressed in that language. It is as if they were asked to read Les Misérables while struggling with French grammar. This book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.The approach taken by the authors (and used in their classes at MIT for many years) differs from the conventional one in several ways, including an emphasis on the development of the covariant derivative and an avoidance of the use of traditional index notation for tensors in favor of a semantically richer language of vector fields and differential forms. But the biggest single difference is the authors' integration of computer programming into their explanations. By programming a computer to interpret a formula, the student soon learns whether or not a formula is correct. Students are led to improve their program, and as a result improve their understanding.
ID  - OAPEN ID: 1004028
ID  - OAPEN ID: OCN: 854583698
ID  - OAPEN ID: http://library.oapen.org/handle/20.500.12657/26057
KW  - geometry
KW  - math
L1  - https://library.oapen.org/bitstream/20.500.12657/26057/1/1004028.pdf
L1  - https://library.oapen.org/bitstream/20.500.12657/26057/1/1004028.pdf
LA  - English
LK  - https://directory.doabooks.org/handle/20.500.12854/32607
PB  - The MIT Press
PP  - Cambridge
PY  - 2013
SN  - 9780262019347
TI  - Functional Differential Geometrynull
ER  - 
