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Spacetime and Geometry
An Introduction to General Relativity

$64.99 (X)

textbook
  • Publication planned for: September 2019
  • availability: Not yet published - available from September 2019
  • format: Hardback
  • isbn: 9781108488396

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  • Spacetime and Geometry is an introductory textbook on general relativity, specifically aimed at students. Using a lucid style, Carroll first covers the foundations of the theory and mathematical formalism, providing an approachable introduction to what can often be an intimidating subject. Three major applications of general relativity are then discussed: black holes, perturbation theory and gravitational waves, and cosmology. Students will learn the origin of how spacetime curves (the Einstein equation) and how matter moves through it (the geodesic equation). They will learn what black holes really are, how gravitational waves are generated and detected, and the modern view of the expansion of the universe. A brief introduction to quantum field theory in curved spacetime is also included. A student familiar with this book will be ready to tackle research-level problems in gravitational physics.

    • Explains mathematical formalism clearly with examples, helpful for students trying to access the physical content of general relativity
    • Treats general relativity as a field theory, making it familiar to students of electromagnetism and connecting it directly to quantum field theory
    • Contains detailed appendices including technical information and advanced topics for the interested reader
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    Reviews & endorsements

    ‘… the best book on contemporary gravitational physics for beginning graduate students to established researchers. It will remain one of the leading textbooks on gravity for years to come.' Renata Kallosh, Stanford University, California

    ‘Carroll brings a relaxed authority to the teaching of general relativity at the graduate level. The text is beautifully written and succeeds in linking modern mathematical formalism to physical applications.' Roger Blandford, Stanford University, California

    ‘This book is a gem. Carroll's course at Massachusetts Institute of Technology remains legendary and this book can be expected to spread the legend worldwide. Carroll give a clear, well-motivated, and lively development of general relativity.' Alan Guth, Massachusetts Institute of Technology

    'An excellent graduate text in general relativity written with an informal yet sophisticated style. It provides an efficient introduction to the gravitational physics essential for today’s understanding of black holes, gravitational waves, and the universe.' Jim Hartle, University of California, Santa Barbara

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    Product details

    • Publication planned for: September 2019
    • format: Hardback
    • isbn: 9781108488396
    • length: 516 pages
    • dimensions: 252 x 192 x 27 mm
    • weight: 1.28kg
    • contains: 108 b/w illus.
    • availability: Not yet published - available from September 2019
  • Table of Contents

    1. Special relativity and flat spacetime
    2. Manifolds
    3. Curvature
    4. Gravitation
    5. The Schwarzchild solution
    6. More general black holes
    7. Perturbation theory and gravitational radiation
    8. Cosmology
    9. Quantum field theory in curved spacetime
    10. Appendixes
    Bibliography
    Index.

  • Author

    Sean M. Carroll, California Institute of Technology
    Sean M. Carroll is Research Professor of Physics at the California Institute of Technology. His research focuses on general relativity, cosmology, field theory, statistical mechanics, and quantum mechanics. He is the recipient of numerous awards, including the Gemant Award from the American Institute of Physics, the Winton Science Book Prize from the Royal Society, a Guggenheim fellowship, and teaching awards from Massachusetts Institute of Technology and the University of Chicago.

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