Graduate Texts in Physics

Classical Field Theory

On Electrodynamics, Non-Abelian Gauge Theories and Gravitation

Authors: Scheck, Florian

  • Presents a unique combination of the most relevant field theories in one textbook: Electrodynamics, Gauge Theory and Gravitation
  • Mathematical background material is provided, making this textbook self-contained
  • Provides detailed discussions for each theory and emphasizes analogies, giving a clear overview of relation between topics
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  • ISBN 978-3-642-27985-0
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Hardcover $79.95
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  • ISBN 978-3-642-27984-3
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  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
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  • ISBN 978-3-642-43128-9
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About this Textbook

The book describes Maxwell's equations first in their integral, directly testable form, then moves on to their local formulation. The first two chapters cover all essential properties of Maxwell's equations, including their symmetries and their covariance in a modern notation. Chapter 3 is devoted to Maxwell theory as a classical field theory and to solutions of the wave equation. Chapter 4 deals with important applications of Maxwell theory. It includes topical subjects such as metamaterials with negative refraction index and solutions of Helmholtz' equation in paraxial approximation relevant for the description of laser beams.

Chapter 5 describes non-Abelian gauge theories from a classical, geometric point of view, in analogy to Maxwell theory as a prototype, and culminates in an application to the U(2) theory relevant for electroweak interactions. The last chapter 6 gives a concise summary of semi-Riemannian geometry as the framework for the classical field theory of gravitation. The chapter concludes with a discussion of the Schwarzschild solution of Einstein's equations and the classical tests of general relativity (perihelion precession of Mercury, and light deflection by the sun).

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Textbook features: detailed figures, worked examples, problems and solutions, boxed inserts, highlighted special topics, highlighted important math etc., helpful summaries, appendix, index.

About the authors

Florian Scheck

University Mainz

Successful author of German language textbook series (5 volumes)

Table of contents (6 chapters)

  • Maxwell’s Equations

    Scheck, Florian

    Pages 1-96

  • Symmetries and Covariance of the Maxwell Equations

    Scheck, Florian

    Pages 97-152

  • Maxwell Theory as a Classical FieldTheory

    Scheck, Florian

    Pages 153-198

  • Simple Applications of MaxwellTheory

    Scheck, Florian

    Pages 199-259

  • Local GaugeTheories

    Scheck, Florian

    Pages 261-308

Buy this book

eBook $59.99
price for USA (gross)
  • ISBN 978-3-642-27985-0
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $79.95
price for USA
  • ISBN 978-3-642-27984-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $79.95
price for USA
  • ISBN 978-3-642-43128-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Classical Field Theory
Book Subtitle
On Electrodynamics, Non-Abelian Gauge Theories and Gravitation
Authors
Series Title
Graduate Texts in Physics
Copyright
2012
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-27985-0
DOI
10.1007/978-3-642-27985-0
Hardcover ISBN
978-3-642-27984-3
Softcover ISBN
978-3-642-43128-9
Series ISSN
1868-4513
Edition Number
1
Number of Pages
XII, 436
Topics