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A differential geometry approach to camera-independent image correspondence

Pirani , Pirani F A E. 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 exercises, making this a book which is valuable as a text for advanced undergraduate and postgraduate students. Article Navigation.

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Differential Geometry - Claudio Arezzo - Lecture 01

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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 field theories, relativity and gravitation. All proceeds from this sale go to Oxfam.


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Handbook - Course - Topology and Differential Geometry - MATH

Published by Cambridge University Press. About this Item: Cambridge University Press. Seller Inventory ING Condition: Fine. Seller Inventory ZB Published by Cambridge: University Press From: Antiquariat Bernhardt Kassel, Germany. About this Item: Cambridge: University Press,