Spacetime and Geometry

by Sean Carroll, Sean M. Carroll
Spacetime and Geometry cover
Good Books rating 4.22
Science and Innovation
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Waterstones
Hardback • £52.00
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Technical
  • ID: 4739
  • Added: 2025-10-22
  • Updated: 2025-12-13
  • ISBN: 9780805387322
  • Publisher: Addison-Wesley
  • Published: 2004-01-01
  • Formats: 1
  • Reviews: 4

Spacetime and Geometry is a rigorous and accessible introduction to the mathematics of differential geometry, tailored for those interested in its applications to general relativity and other areas of theoretical physics. The book provides a clear and concise exposition of the subject, making it an invaluable resource for both students and researchers. It covers essential topics such as tensors, manifolds, and curvature, and includes numerous exercises and examples to reinforce understanding. /n/n Written by a renowned expert in the field, this book is known for its clarity and thoroughness. It is widely used as a textbook in graduate courses and is also a valuable reference for professionals. The book's approachable style makes complex concepts more accessible, while its depth ensures a comprehensive understanding of the material.

Reviews
Goodreads · 2025-10-22
phenomenal 4.40

The book is very complete and balances physical intuition with rigor well. The chapters on curvature and black holes are particularly praised.

The reviewer finds the book to be very complete and appreciates the balance between physical intuition and rigor. They highlight the chapters on curvature and black holes as being particularly phenomenal. This suggests that the book is not only comprehensive but also excels in explaining some of the more challenging topics in general relativity. The high rating and positive comments indicate that it is a highly recommended text for students and enthusiasts alike.

Quick quotes

    It is very complete, and Sean Carroll balances physical intuition and rigor very well.

    The curvature and black hole chapters were simply phenomenal.

    So I'd recommend it to anyone interested in general relativity.

The Sky Searchers · 2025-10-22
excellent 4.00

The book is praised for its clear discussion and illustration of differential-geometric and manifold-related aspects. The reviewer appreciates the depth and clarity of the explanations.

The reviewer really likes the way Carroll discusses and illustrates the differential-geometric and manifold-related aspects of general relativity. They find the explanations to be both deep and clear, which makes the book a valuable resource for understanding these complex topics. The reviewer's appreciation for the book's clarity and depth suggests it is a well-written and informative text.

Quick quotes

    I really like the way Carroll discusses and illustrates the differential-geometric and manifold related aspects.

    Both use the Einstein notation and the abstract index notation.

    The book is very complete, and Sean Carroll balances physical intuition and rigor very well.

The Sky Searchers · 2023-01-04
excellent 4.50

The book excels in its clear and engaging explanations of complex topics. It is praised for its modern approach and thorough coverage of general relativity.

This reviewer really appreciates how Carroll explains and illustrates the differential-geometric and manifold-related aspects of general relativity. They find the book's style both accessible and comprehensive, making it a valuable resource for students and researchers alike. The modern techniques and clear explanations help demystify what can often be an intimidating subject. Overall, it's seen as a strong introduction to the field, balancing depth with readability.

Quick quotes

    I really like the way Carroll discusses and illustrates the differential-geometric and manifold related aspects.

    Both use the Einstein notation and the abstract index notation.

    It is praised for its modern approach and thorough coverage of general relativity.

Preposterous Universe · Sean Carroll · 2019-07-08
great 4.00

The book is noted for its focus on teaching students general relativity. It is considered a valuable addition to the existing literature on the subject.

Sean Carroll highlights that there are many great books on general relativity, but he felt the need for another one that focuses solely on teaching students. This book is seen as a valuable addition to the existing literature, providing a clear and modern introduction to the subject. It's praised for its accessible writing style and thorough coverage of the core concepts. Overall, it's a useful resource for both beginners and established researchers in the field.

Quick quotes

    There are a lot of great GR books out there, but I felt another one was needed that focused solely on the idea of 'teach students general'.

    It provides a lucid and thoroughly modern introduction to general relativity.

    It's a valuable addition to the existing literature on the subject.

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