Advertisement

The Geometry of Spacetime

An Introduction to Special and General Relativity

  • James J. Callahan

Part of the Undergraduate Texts in Mathematics book series (UTM)

Table of contents

  1. Front Matter
    Pages i-xvi
  2. James J. Callahan
    Pages 1-29
  3. James J. Callahan
    Pages 31-86
  4. James J. Callahan
    Pages 87-141
  5. James J. Callahan
    Pages 143-201
  6. James J. Callahan
    Pages 203-256
  7. James J. Callahan
    Pages 257-328
  8. James J. Callahan
    Pages 329-384
  9. James J. Callahan
    Pages 385-434
  10. James J. Callahan
    Pages 455-455
  11. James J. Callahan
    Pages 455-455
  12. James J. Callahan
    Pages 456-457
  13. James J. Callahan
    Pages 457-458
  14. James J. Callahan
    Pages 458-458
  15. James J. Callahan
    Pages 458-459
  16. James J. Callahan
    Pages 459-460
  17. James J. Callahan
    Pages 460-461
  18. James J. Callahan
    Pages 461-463
  19. Back Matter
    Pages 435-454

About this book

Introduction

In 1905, Albert Einstein offered a revolutionary theory - special relativity - to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterwards, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces. The author explores the way an individual observer views the world and how a pair of observers collaborates to gain objective knowledge of the world. He has tried to encompass both the general and special theory by using the geometry of spacetime as the unifying theme of the book. To read it, one needs only a first course in linear algebra and multivariable calculus and familiarity with the physical applications of calculus.

Keywords

Gravity Relativity Special relativity curvature differential geometry differential geometry of surfaces general relativity

Authors and affiliations

  • James J. Callahan
    • 1
  1. 1.Department of MathematicsSmith CollegeNorthamptonUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-6736-0
  • Copyright Information Springer-Verlag New York 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3142-9
  • Online ISBN 978-1-4757-6736-0
  • Series Print ISSN 0172-6056
  • Buy this book on publisher's site