A First Course in General Relativity by Bernard Schutz

In summary, "A First Course in General Relativity" by Bernard Schutz is a highly recommended introductory textbook for undergraduate and graduate students interested in general relativity. It covers topics such as black holes, gravitational lenses, and cosmology, and includes over 300 exercises. The second edition has been updated with new information and discoveries in the field.

For those who have used this book

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Table of Contents

Preface
1. Fundamental principles of special relativity
2. Vector analysis in special relativity
3. Tensor analysis in special relativity
4. Perfect fluids in special relativity
5. Preface to curvature
6. Curved manifolds
7. Physics in a curved spacetime
8. The Einstein field equations
9. Gravitational radiation
10. Spherical solutions for stars
11. Schwarzschild geometry and black holes
12. Cosmology
References
Index.

Amazon description said:
Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible.

Publisher's webpage - http://www.cambridge.org/us/knowledge/isbn/item7280734/


Schutz's text "Geometrical Methods of Mathematical Physics" may also be of interest

https://www.amazon.com/dp/0521298873/?tag=pfamazon01-20
 
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see item "A First Course in General Relativity by Schutz" from Jan25-13
 

1. What is the main focus of "A First Course in General Relativity" by Bernard Schutz?

The main focus of this book is to provide a comprehensive and accessible introduction to the theory of general relativity, one of the cornerstones of modern physics. It covers the mathematical foundations of the theory, as well as its physical implications and applications.

2. Is this book suitable for beginners in the field of general relativity?

Yes, this book is intended for students with no prior knowledge of general relativity. It starts from the basics and gradually builds up to more complex topics, making it accessible to beginners in the field.

3. Does this book cover both the mathematical and physical aspects of general relativity?

Yes, this book covers both the mathematical foundations and physical implications of general relativity. It includes detailed explanations of the mathematical concepts and equations, as well as discussions on the physical significance of these concepts.

4. Are there any exercises or practice problems included in this book?

Yes, this book includes numerous exercises and practice problems throughout each chapter to help readers reinforce their understanding of the material. Additionally, there are comprehensive review questions at the end of each chapter.

5. Can this book be used as a textbook for a course on general relativity?

Yes, this book can be used as a textbook for a course on general relativity. It is written in a clear and concise manner, making it suitable for use in a classroom setting. It also includes helpful features such as chapter summaries, key terms, and suggested further readings.

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