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  • Textbook
  • © 1984

Modern Geometry - Methods and Applications

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

Authors:

  1. B. A. Dubrovin

    1. c/o VAAP-Copyright Agency of the U.S.S.R., Moscow, USSR

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  2. A. T. Fomenko

    1. 3 Ya Karacharavskaya, Moscow, USSR

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    You can also search for this author in PubMed   Google Scholar

  3. S. P. Novikov

    1. L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the U.S.S.R., Moscow, USSR

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

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xv
    PDF

  2. Geometry in Regions of a Space. Basic Concepts

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 1-60

  3. The Theory of Surfaces

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 61-144

  4. Tensors: The Algebraic Theory

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 145-233

  5. The Differential Calculus of Tensors

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 234-312

  6. The Elements of the Calculus of Variations

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 313-374

  7. The Calculus of Variations in Several Dimensions. Fields and Their Geometric Invariants

    • B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 375-454

  8. Back Matter

    Pages 455-464
    PDF
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About this book

manifolds, transformation groups, and Lie algebras, as well as the basic concepts of visual topology. It was also agreed that the course should be given in as simple and concrete a language as possible, and that wherever practic­ able the terminology should be that used by physicists. Thus it was along these lines that the archetypal course was taught. It was given more permanent form as duplicated lecture notes published under the auspices of Moscow State University as: Differential Geometry, Parts I and II, by S. P. Novikov, Division of Mechanics, Moscow State University, 1972. Subsequently various parts of the course were altered, and new topics added. This supplementary material was published (also in duplicated form) as Differential Geometry, Part III, by S. P. Novikov and A. T. Fomenko, Division of Mechanics, Moscow State University, 1974. The present book is the outcome of a reworking, re-ordering, and ex­ tensive elaboration of the above-mentioned lecture notes. It is the authors' view that it will serve as a basic text from which the essentials for a course in modern geometry may be easily extracted. To S. P. Novikov are due the original conception and the overall plan of the book. The work of organizing the material contained in the duplicated lecture notes in accordance with this plan was carried out by B. A. Dubrovin.
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Keywords

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Authors and Affiliations

  • c/o VAAP-Copyright Agency of the U.S.S.R., Moscow, USSR

    B. A. Dubrovin

  • 3 Ya Karacharavskaya, Moscow, USSR

    A. T. Fomenko

  • L. D. Landau Institute for Theoretical Physics, Academy of Sciences of the U.S.S.R., Moscow, USSR

    S. P. Novikov

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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

  • DOI: https://doi.org/10.1007/978-1-4684-9946-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1984

  • eBook ISBN: 978-1-4684-9946-9Published: 14 March 2013

  • Series ISSN: 0072-5285

  • Series E-ISSN: 2197-5612

  • Edition Number: 1

  • Number of Pages: XV, 464

  • Additional Information: Title of the original Russian edition: Sovremennaja geometrija

  • Topics: Geometry

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eBook USD 74.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

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