Modern Geometry -- Methods & Applications: Part I: The Geometry of Surfaces, Transformation Groups, & Fields / Edition 2

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Overview

This is the first volume of a three-volume introduction to modern geometry which emphasizes 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 new edition offers substantial revisions, and the material is written in concrete language with terminology acceptable to physicists.

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Editorial Reviews

Booknews
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 simple and concrete language that is in terminology acceptable to physicists. Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780387976631
  • Publisher: Springer New York
  • Publication date: 11/11/1991
  • Series: Graduate Texts in Mathematics Series , #93
  • Edition description: 2nd ed. 1992
  • Edition number: 2
  • Pages: 470
  • Product dimensions: 1.13 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

1: Geometry in Regions of a Spaces. Basic Concepts. 2: The Theory of Surfaces. 3: Tensors: The Algebraic Theory. 4: The Differential Calculus of Tensors. 5: The Elements of the Calculus of Variations. 6: The Calculus of Variations in Several Dimensions.

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