Modern books on Special Relativity

In summary: Y3IyvK9Ya9sC&rank=3In summary, the recommended book for someone who is familiar with Linear Algebra, Vector Calculus, Ordinary Differential Equations, and some solutions to Maxwell's Equations is Landau and Lifshitz vol. 2. vanhees71. Sean Carroll's book Spacetime and Geometry - An Introduction to General Relativity is also a good choice.
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PhotonSSBM
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I'm looking for a rigorous book on SR for some summer reading. Preferably something that covers a lot of the stuff in this document really well,

http://ocw.mit.edu/courses/physics/8-033-relativity-fall-2006/readings/guide.pdf

The website recommends older books by French and Resnick, but I've been told they aren't modern enough. Really, I'm looking for books at their level of difficulty and rigor but with recent theory involved.

For my background, I am familiar with the mathematics of Linear Algebra, Vector Calculus, and Ordinary Differential Equations. I also am familiar with a few of the solutions to Maxwell's Equations and have some SR experience already with Taylor/Wheeler Spacetime Physics. Thanks ahead of time for any assistance.
 
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Well, special relativity was fully understood in 1908 by Minkowski. There is some inertia in the physics community to absorb modern math, but more than 100 years are enough. Just take any textbook containing a chapter on SRT. Make sure that it doesn't use the ##\mathrm{i} c t## formalism (then it's really old-fashioned) and avoid at any cost books that don't introduce the manifestly covariant Minkowski-space description. Also books mentioning something like a "relativistic" mass are likely to be outdated (I know one exception of a German physics book, where an author insists on using this old-fashioned concept despite very clear criticism in book reviews, but it's still an excellent book on SRT and GRT).

A very good introduction is Landau&Lifshitz vol. 2.
 
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vanhees71 covered pretty much everything. I also found Sean Carroll's book Spacetime and Geometry - An Introduction to General Relativity https://www.amazon.com/dp/0805387323/?tag=pfamazon01-20 great, in case you want to go further into studying General Relativity as well - pretty much the case usually. Another book I found interesting is Wolfgang Rindler's Introduction to Special Relativity https://www.amazon.com/Introduction-Special-Relativity-Science-Publications/dp/0198539525.
 
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1. What is Special Relativity?

Special Relativity is a theory developed by Albert Einstein in the early 20th century to explain the relationship between space and time. It states that the laws of physics are the same for all observers in uniform motion and that the speed of light is constant.

2. How is Special Relativity different from Newtonian mechanics?

Unlike Newtonian mechanics, which assumes that time and space are absolute and independent, Special Relativity shows that they are relative to the observer's perspective and are interconnected. It also introduces the concept of time dilation, where time moves slower for objects moving at high speeds.

3. What are some real-world applications of Special Relativity?

Special Relativity has been applied in various fields, such as GPS technology, nuclear energy, and particle physics. It also plays a crucial role in understanding the behavior of objects moving at high speeds, such as in space travel.

4. Can Special Relativity be proven?

Special Relativity has been extensively tested and has been proven to be accurate in predicting the behavior of objects at high speeds. However, like all scientific theories, it is subject to further testing and refinement.

5. Is it necessary to have a deep understanding of mathematics to understand Special Relativity?

While a basic understanding of mathematics is helpful in understanding the concepts of Special Relativity, it is not necessary to have a deep understanding of mathematics to grasp the main ideas. Many books on Special Relativity are written in a way that is accessible to non-experts.

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