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Modern Geometry — Methods and Applications

Part I: The Geometry of Surfaces, Transformation Groups, and Fields

  • Textbook
  • © 1992

Overview

Authors:
  1. B.A. Dubrovin
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  2. A.T. Fomenko

    1. Lomonosov Moscow State University Dept. Mathematics & Mechanics, Moskva, Russia

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  3. S.P. Novikov

    1. MIAN, Moscow GSP 1, Russia

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Part of the book series: Graduate Texts in Mathematics (GTM, volume 93)

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Keywords

  • CON_D029
  • Feldtheorie
  • Geometry
  • Tensorrechnung
  • Variationsrechnung

About this book

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.

Authors and Affiliations

  • Lomonosov Moscow State University Dept. Mathematics & Mechanics, Moskva, Russia

    A.T. Fomenko

  • MIAN, Moscow GSP 1, Russia

    S.P. Novikov

Bibliographic Information

  • Book Title: Modern Geometry — Methods and Applications

  • Book Subtitle: Part I: The Geometry of Surfaces, Transformation Groups, and Fields

  • Authors: B.A. Dubrovin, A.T. Fomenko, S.P. Novikov

  • Series Title: Graduate Texts in Mathematics

  • Publisher: Springer New York, NY

  • Copyright Information: Springer-Verlag New York, Inc. 1992

  • Hardcover ISBN: 978-0-387-97663-1Published: 11 November 1991

  • Softcover ISBN: 978-1-4612-8756-8Published: 28 October 2011

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 2

  • Number of Pages: XVI, 470

  • Additional Information: Original Russian edition published by Nauka, Moscow, 1979

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