Modern geometric structures and fields

Modern geometric structures and fields

by Novikov, S. P., (Sergeĭ Petrovich)

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Title Statements

  • Full title :Modern geometric structures and fields / S.P. Novikov, I.A. Taimanov ; translated by Dmitry Chibisov.

Edition Statements

  • Publication Date:©2006.
  • Edition:[English ed.]

Publication Statements

The Physical Object

  • Description:xx, 633 pages : : illustrations ; : 27 cm

Edition Identifiers

  • ISBN:0821839292, 9780821839294
  • oclc:ocm69241586
  • LC Classification:QA685
  • Dewey Decimal:516.3/73

Table of Contents

Cartesian spaces and Euclidean geometry -- Symplectic and pseudo-Euclidean spaces -- Geometry of two-dimensional manifolds -- Complex analysis in the theory of surfaces -- Smooth manifolds -- Groups of motions -- Tensor algebra -- Tensor fields in analysis -- Analysis of differential forms -- Connections and curvature -- Conformal and complex geometries -- Morse theory and Hamiltonian formalism -- Poisson and Lagrange manifolds -- Multidimensional variational problems -- Geometric fields in physics.

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