Advertisement

From Riemann to Differential Geometry and Relativity

  • Lizhen Ji
  • Athanase Papadopoulos
  • Sumio Yamada

Table of contents

  1. Front Matter
    Pages i-xxxiv
  2. Athanase Papadopoulos
    Pages 1-94
  3. Mathematics and Physics

  4. Philosophy

  5. Some Recent Developments

    1. Front Matter
      Pages 365-365
    2. Norbert A’Campo, Vincent Alberge, Elena Frenkel
      Pages 389-411
    3. Victor Pambuccian, Horst Struve, Rolf Struve
      Pages 413-455
    4. Toshikazu Sunada
      Pages 457-479
    5. Jacques Franchi
      Pages 481-511
  6. Relativity

    1. Front Matter
      Pages 513-513
    2. Andreas Hermann, Emmanuel Humbert
      Pages 515-540
    3. Jean-Philippe Nicolas
      Pages 571-609
  7. Concluding Chapter

    1. Front Matter
      Pages 611-611
    2. Lizhen Ji
      Pages 613-635
  8. Back Matter
    Pages 637-647

About this book

Introduction

This book explores the work of Bernhard Riemann and its impact on mathematics, philosophy and physics. It features contributions from a range of fields, historical expositions, and selected research articles that were motivated by Riemann’s ideas and demonstrate their timelessness. The editors are convinced of the tremendous value of going into Riemann’s work in depth, investigating his original ideas, integrating them into a broader perspective, and establishing ties with modern science and philosophy. Accordingly, the contributors to this volume are mathematicians, physicists, philosophers and historians of science. The book offers a unique resource for students and researchers in the fields of mathematics, physics and philosophy, historians of science, and more generally to a wide range of readers interested in the history of ideas.


Keywords

01-02, 01A55, 01A67, 26A42, 30-03, 33C05, 00A30 Riemann surfaces differential geometry relativity foundations of mathematics theta functions abelian functions history of geometry history of topology

Editors and affiliations

  • Lizhen Ji
    • 1
  • Athanase Papadopoulos
    • 2
  • Sumio Yamada
    • 3
  1. 1.Department of MathematicsUniversity of MichiganAnn ArborUSA
  2. 2.University of Strasbourg, CNRSInstitut de Recherche Mathématique AvancéeStrasbourg CedexFrance
  3. 3.Department of MathematicsGakushuin UniversityTokyoJapan

Bibliographic information