The Geometry of Spacetime: An Introduction to Special and General Relativity. Front Cover · James J. Callahan. Springer Science & Business Media, Hello, I was wondering if anyone knows about the the book “The Geometry of Spacetime: An Introduction to Special and General Relativity” by. The Geometry of Spacetime has 8 ratings and 1 review. The Geometry of Spacetime: An Introduction to Special and General Relativity James J. Callahan.

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Hermann Beometry recast special relativity as essentially a new geometric structure for dpacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein’s general relativity theory. Would you like to tell us about a lower price? If you are a seller for this product, would you like to suggest updates through seller support?

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Buy the selected items together This item: The Geometry of Spacetime: Ships from and sold by Wiltonbooks. Ships from and sold by Amazon. Customers who bought this item also bought. Page 1 of 1 Start over Page 1 of 1. Principles of Tensor Calculus: Special Relativity and Classical Field Theory: Undergraduate Texts in Mathematics Hardcover: Springer; 1st Edition edition August 17, Language: I’d like to read this book on Kindle Don’t have a Kindle?

Try the Kindle edition and experience these great reading features: Share your thoughts with other customers. Write a customer review. Read reviews that mention general relativity introduction callahan course level special learn subject teaching. Showing of 10 reviews. Top Reviews Most recent Top Reviews.

There was a problem filtering reviews right now. Please try again later. But where to go next can be a problem. If you like the math accompanying your physics a bit more rigorous than “hand waving”, this is a great book.

I tried Schutz’s book but didn’t find the math self contained or rigorous, while trying to jump into Wald’s graduate level text on General relativity was way too much to soon. This book strikes a good balance between the physics and the math. Nice coverage of the Lorentz transformation and the invariance of Maxwell’s equations under it.

Minkowski space time and “hyperbolic” geometry nice review of hyperbolic functions in analogy with trigonometric functions. And a callahn contained introduction to differential geometry as applied to general relativity. I’m finding this great for self study. I have spent a ton of money over the years trying to buy a book that I could learn relativity from.


Although I have only worked my way through the first 3 chapters at this point, these three chapters are worth the price of the book. The subject is presented in a geometrical fashion, and up until the end of chapter 3, I have not been buried in an avalanche of subscripts.

Having glanced at later chapters, I know that the subscripts and superscripts caklahan coming, but I also believe that I will be prepared for callahan when they arrive. This book gets at the essential core ideas of the topic and expresses them in as clear and accessible a manner as anyone could given the inherent difficulty of the subject matter. Great introduction to Special and General Theory of Relativity for those who are still developing their mathematical maturity on egometry subject.

This book is great for teaching the math behind GR using excellent examples from Math and Physics problems for another great problem solver see also Schaum’s Outline of Tensor Calculus, but this has less Physics. It is a bit long winded, spending alot of time on SR and in some place just over the top for Physicists! At the same level Gepmetry would also recommend Schutz’s First Course in GR, however, Callahan’s book goes through and explains the use of the math better, whereas Schutz’s is better for uses in GR, surprisingly this is the strength of Callahan’s book: I’ve only read the first third in detail, but so far this book is frankly disappointing.

The treatment is lightweight and padded out with verbiage, some of spxcetime oddly off-key. What math or physics student at this level needs for example an csllahan account of the properties of hyperbolic functions?

Spacetime diagrams are drawn with the time axis horizontal, which is something I’ve egometry seen in any other relativity text. Okay, it’s a minor point, but I found this and similar nonstandard usages a constant irritant. More seriously, the development of relativistic momentum and covariance in chap. There are plenty of exercises, which is good, but no solutions at all geoetry not even outlines – which is not so good. The book takes over three hundred pages to get to general relativity where there seems to be no mention of the equivalence principle!

The Geometry of Spacetime: An Introduction to Special and General Relativity by James J. Callahan

And it’s two-thirds the price. There may be a good book waiting to be written on these lines, but I’m sorry to say this isn’t it. I wouldn’t recommend it to anyone as a first course in relativity. I have not had a chance to work through the whole book yet, but I think the previous reviewer is correct – it is an excellent book.


I particularly like the approach in the early chapters where special relativity is treated with the basic linear algebra of linear transformations. This gives several interesting applications that students often don’t see early in their mathematical career. The later chapters cover the geometry of surfaces and general relativity.

The Geometry of Spacetime: An Introduction to Special and General Relativity

I would like to learn GR in a “coordinate-free” fashion, but Callahan does not take that approach and gives his reasons clearly in the introduction. In scanning over the later chapters it looks like the coordinate approach is balanced with lots of physical and geometric explanation.

This book is a terasure in its own right! Although the introduction to tensors is limited, the application of Fermi coordinates is great although I would have expected to see the actual derivation of vacuum equations as einstein first wrote it.

The proofs are excellent. The application, though limited but clearly exposed. See all 10 reviews. Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway. Set up a giveaway. Customers who viewed this item also viewed.

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The Geometry of Spacetime : An Introduction to Special and General Relativity

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