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Birkhäuser

Riemann, Topology, and Physics

  • Book
  • © 1987

Overview

Authors:
  1. Michael Monastyrsky

    1. Institute for Theoretical and Experimental Physics, Moscow, USSR

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Editors:
  1. R. O. Wells

    1. Department of Mathematics, Weiss School of Natural Sciences, Rice University, Houston, USA

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Bernhard Riemann

    1. Front Matter

      Pages 1-1
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    2. Beginnings

      • Michael Monastyrsky
      Pages 3-9

    3. Doctoral Dissertation

      • Michael Monastyrsky
      Pages 10-17

    4. Riemann—Lecturer at Göttingen University

      • Michael Monastyrsky
      Pages 18-32

    5. Riemann and Dirichlet

      • Michael Monastyrsky
      Pages 33-50

    6. A Chair in Göttingen

      • Michael Monastyrsky
      Pages 51-61

    7. Last Years

      • Michael Monastyrsky
      Pages 62-63

    8. The Fate of Riemann’s Work

      • Michael Monastyrsky
      Pages 64-67

  3. Topological Themes in Contemporary Physics

    1. Front Matter

      Pages 71-71
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    2. Introduction

      • Michael Monastyrsky
      Pages 73-75

    3. Topological Structures

      • Michael Monastyrsky
      Pages 76-87

    4. The Connectivity of a Manifold and the Quantization of Magnetic Flux

      • Michael Monastyrsky
      Pages 88-90

    5. Systems with Spontaneous Symmetry-Breaking

      • Michael Monastyrsky
      Pages 91-94

    6. Topology and Liquid Crystals

      • Michael Monastyrsky
      Pages 95-107

    7. The Theory of Gauge Fields

      • Michael Monastyrsky
      Pages 108-124

    8. Topological Particles

      • Michael Monastyrsky
      Pages 125-129

    9. Soliton Particles

      • Michael Monastyrsky
      Pages 130-132

    10. What Next?

      • Michael Monastyrsky
      Pages 133-133

    11. A Brief Historical Survey

      • Michael Monastyrsky
      Pages 134-136
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About this book

Soviet citizens can buy Monastyrsky's biography of Riemann for eleven kopeks. This translated edition will cost considerably more, but it is still good value for the money. And we get Monastyrsky's monograph on topological methods in the bargain. It was a good idea of Birkhiiuser Boston to publish the two translations in one volume. The economics of publishing in a capitalist country make it impossible for us to produce the small cheap paperback booklets, low in quality of paper and high in quality of scholarship, at which the Soviet publishing industry excels. Monastyrsky's two booklets are out­ standing examples of the genre. By putting them together, Birkhiiuser has enabled them to fit into the Western book-marketing system. The two booklets were written separately and each is complete in itself, but they complement each other beautifully. The Riemann biography is short and terse, like Riemann's own writings. It describes in few words and fewer equations the revolutionary ideas which Riemann brought into mathematics and physics a hundred and twenty years ago. The topological methods booklet describes how some of these same ideas, after lying dormant for a century, found new and fruitful applications in the physics of our own time.

Authors, Editors and Affiliations

  • Department of Mathematics, Weiss School of Natural Sciences, Rice University, Houston, USA

    R. O. Wells

  • Institute for Theoretical and Experimental Physics, Moscow, USSR

    Michael Monastyrsky

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