Skip to main content
  • Textbook
  • © 1998

Geometry, Particles, and Fields

Authors:

  • Provides a clear treatment accessible to graduate students.
  • Develops geometrical language that is the used to describe recent developments in particle physics.
  • Gives a clear presentation on the use of geometric methods.
  • A good introduction to quantum field theory, including physical motivation and exercises.
  • Numerous worked out examples makes the book ideal for independent study.

Part of the book series: Graduate Texts in Contemporary Physics (GTCP)

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (11 chapters)

  1. Front Matter

    Pages i-x
  2. Basic Properties of Particles and Fields

    1. Front Matter

      Pages 1-2
    2. Electromagnetism

      • Bjørn Felsager
      Pages 3-31
    3. Interaction of Fields and Particles

      • Bjørn Felsager
      Pages 32-85
    4. Dynamics of Classical Fields

      • Bjørn Felsager
      Pages 86-132
    5. Solitons

      • Bjørn Felsager
      Pages 133-175
    6. Path Integrals and Instantons

      • Bjørn Felsager
      Pages 176-253
  3. Basic Principles and Applications of Differential Geometry

    1. Front Matter

      Pages 255-256
    2. Differentiable Manifolds—Tensor Analysis

      • Bjørn Felsager
      Pages 257-333
    3. Differential Forms and the Exterior Calculus

      • Bjørn Felsager
      Pages 334-401
    4. Integral Calculus on Manifolds

      • Bjørn Felsager
      Pages 402-483
    5. Dirac Monopoles

      • Bjørn Felsager
      Pages 484-533
    6. Smooth Maps—Winding Numbers

      • Bjørn Felsager
      Pages 534-613
    7. Symmetries and Conservation Laws

      • Bjørn Felsager
      Pages 614-666
  4. Back Matter

    Pages 667-672

About this book

Geometry, Particles and Fields is a direct reprint of the first edition. From a review of the first edition: "The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics...It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics...The second half of the book deals with the principles of differential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler...Felsager gives a very clear presentation of the use of geometric methods in particle physics...For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step." PHYSICS TODAY Bjoern Felsager is a high school teacher in Copenhagen. Educated at the Niels Bohr Institute, he has taught at the Universities of Copenhagen and Odense.

Reviews

FROM THE REVIEWS:

MATHEMATICAL REVIEWS
"It is particularly well-suited as an introductory text, since the author takes great care to anticipate points that may cause confusion…The author does a good job of focusing on the fundamentals…[The first] part of the book works as either a self-contained introduction to classical field theory, or as a complement to a good text on classical electrodynamics…[The second] part of the book is very clear and well planned…works as a self-contained introduction to manifolds and differential forms, or, even better, as a compliment to a concise mathematics text.”

PHYSICS TODAY
"The present volume is a welcome edition to the growing number of books that develop geometrical language and use it to describe new developments in particle physics ... It provides clear treatment that is accessible to graduate students with a knowledge of advanced calculus and of classical physics.... The second half of the book deals with the principles ofdifferential geometry and its applications, with a mathematical machinery of very wide range. Here clear line drawings and illustrations supplement the multitude of mathematical definitions. This section, in its clarity and pedagogy, is reminiscent of Gravitation by Charles Misner, Kip Thorne and John Wheeler.... Felsager gives a very clear presentation of the use of geometric methods in particle physics.... For those who have resisted learning this new language, his book provides a very good introduction as well as physical motivation. The inclusion of numerous exercises, worked out, renders the book useful for independent study also. I hope this book will be followed by others from authors with equal flair to provide a readable excursion into the next step."

Authors and Affiliations

  • Mathematics Department, Odense University, Denmark

    Bjørn Felsager

  • The Niels Bohr Institute, The University of Copenhagen, Haslev, Denmark

    Bjørn Felsager

Bibliographic Information

  • Book Title: Geometry, Particles, and Fields

  • Authors: Bjørn Felsager

  • Series Title: Graduate Texts in Contemporary Physics

  • DOI: https://doi.org/10.1007/978-1-4612-0631-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1998

  • Hardcover ISBN: 978-0-387-98267-0Published: 09 January 1998

  • Softcover ISBN: 978-1-4612-6846-8Published: 17 October 2012

  • eBook ISBN: 978-1-4612-0631-6Published: 06 December 2012

  • Series ISSN: 0938-037X

  • Edition Number: 1

  • Number of Pages: X, 672

  • Additional Information: Originally published by Odense University Press, Denmark

  • Topics: Theoretical, Mathematical and Computational Physics

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access