Functional Differential Geometry
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Author
Contributions
- Wisdom, Jack - Contributor
Publication
2013 - The MIT Press, Cambridge, No place, unknown, or undetermined
Language
English
Word Count
62,000 words, Guess
Page Count
248 pages
Identifiers
- Open LibraryOL28355472M
- ISBN-139780262315616
- OCLC Control Number825398878
- OCLC Control Numberfunctionaldiffer0000suss
- Library of Congress Control Number2012042107
Classifications
- LCCQC20.7.D52S87 2013
Description
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.
Subjects
Other Editions
- Functional Differential Geometry
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