An introduction to geometrical physics
著者
書誌事項
An introduction to geometrical physics
World Scientific, c1995
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
This book stresses the unifying power of the geometrical framework in bringing together concepts from the different areas of physics. Common underpinnings of optics, elasticity, gravitation, relativistic fields, particle mechanics and other subjects are underlined. It attempts to extricate the notion of space currently in the physical literature from the metric connotation.The book's goal is to present mathematical ideas associated with geometrical physics in a rather introductory language. Included are many examples from elementary physics and also, for those wishing to reach a higher level of understanding, a more advanced treatment of the mathematical topics. It is aimed as an elementary text, more so than most others on the market, and is intended for first year graduate students.
目次
- Manifolds
- tangent structure
- differential forms
- symmetries
- fibre bundles
- topical sections - mathematics.
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