An introduction to geometrical topics used in applied mathematics and theoretical physics.
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This is an introduction to geometrical topics useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing the reader for the study of modern treatments of mechanics, gauge field theories, relativity and gravitation.
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Zustand: New. An introduction to geometrical topics used in applied mathematics and theoretical physics. Series: London Mathematical Society Lecture Note Series. Num Pages: 404 pages, illustrations, bibliography, index. BIC Classification: PBMP. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 230 x 154 x 26. Weight in Grams: 662. . 1987. Illustrated. paperback. . . . . Bestandsnummer des Verkäufers V9780521231909
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Paperback. Zustand: new. Paperback. This is an introduction to geometrical topics that are useful in applied mathematics and theoretical physics, including manifolds, metrics, connections, Lie groups, spinors and bundles, preparing readers for the study of modern treatments of mechanics, gauge fields theories, relativity and gravitation. The order of presentation corresponds to that used for the relevant material in theoretical physics: the geometry of affine spaces, which is appropriate to special relativity theory, as well as to Newtonian mechanics, is developed in the first half of the book, and the geometry of manifolds, which is needed for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake, but only where it illuminates geometrical ideas. The style is informal and clear yet rigorous; each chapter ends with a summary of important concepts and results. In addition there are over 650 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students. Applicable Differential Geometry is an introduction to geometrical topics which are useful in applied mathematics and theoretical physics. It discusses the geometry of affine spaces which is appropriate for the theory of special relativity as well as to Newtonian mechanics, as well as the geometry of manifolds, employed in general relativity and gauge field theory. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780521231909