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Modern Geometry — Methods and Applications

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

  • B. A. Dubrovin
  • A. T. Fomenko
  • S. P. Novikov

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

Table of contents

  1. Front Matter
    Pages i-xv
  2. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 1-60
  3. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 61-144
  4. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 145-233
  5. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 234-312
  6. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 313-374
  7. B. A. Dubrovin, A. T. Fomenko, S. P. Novikov
    Pages 375-454
  8. Back Matter
    Pages 455-464

About this book

Introduction

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.

Keywords

Division Feldtheorie Geometry Lie SPICE Tensorrechnung Variationsrechnung algebra language lie algebra manifold topology transformation transformation group university

Authors and affiliations

  • B. A. Dubrovin
    • 1
  • A. T. Fomenko
    • 2
  • S. P. Novikov
    • 3
  1. 1.c/o VAAP-Copyright Agency of the U.S.S.R.MoscowUSSR
  2. 2.3 Ya KaracharavskayaMoscowUSSR
  3. 3.L. D. Landau Institute for Theoretical PhysicsAcademy of Sciences of the U.S.S.R.MoscowUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4684-9946-9
  • Copyright Information Springer-Verlag New York 1984
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4684-9948-3
  • Online ISBN 978-1-4684-9946-9
  • Series Print ISSN 0072-5285
  • Buy this book on publisher's site
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