B. A. Dubrovin Anatolij Fomenko S. P. Novikov 

The Geometry of Surfaces, Transformation Groups, and Fields

Übersetzer: Burns, R. G.
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Sprache: Englisch
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The Geometry of Surfaces, Transformation Groups, and Fields

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 edition has been substantially revised.

Produktinformation
  • Modern Geometry, Methods and Applicatons
  • Vol.1
  • Verlag: Springer, Berlin
  • 2001
  • 2nd ed. 1992.
  • Ausstattung/Bilder: XV, 468 S. w. 45 figs.
  • Seitenzahl: 490
  • Graduate Texts in Mathematics Vol.93
  • Best.Nr. des Verlages: 10045816
  • Englisch
  • Abmessung: 235mm x 155mm x 31mm
  • Gewicht: 910g
  • ISBN-13: 9780387976631
  • ISBN-10: 0387976639
  • Best.Nr.: 09202421

Blick ins Buch "The Geometry of Surfaces, Transformation Groups, and Fields"

Inhaltsangabe

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.

Inhaltsangabe

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.