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Paperback Modern Geometry -- Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields Book

ISBN: 1461287561

ISBN13: 9781461287568

Modern Geometry -- Methods and Applications: Part I: The Geometry of Surfaces, Transformation Groups, and Fields

(Book #93 in the Graduate Texts in Mathematics Series)

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Book Overview

This is the first volume of a three-volume introduction to modern geometry, with emphasis on applications to other areas of mathematics and theoretical physics. Topics covered include tensors and their differential calculus, the calculus of variations in one and several dimensions, and geometric field theory. This material is explained in as simple and concrete a language as possible, in a terminology acceptable to physicists. The text for the second...

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