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- Thread starter Dhruva Patil
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WannabeNewton

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That is far more mathematically accessible and you can start with Einstein Online. Einstein's book on special relativity math is available free...and accessible to most high school students.

It's RELATIVITY, The Special and the General Theory, and has the math of special but not general relativity.

The mathematics of special relativity in flat spacetime, with acceleration but without gravity, serves as an almost required introduction to that of the curved spacetime and gravity of general relativity.

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HallsofIvy

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bhobba

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My fsavorite for Special Relativity is Rindler - Introduction To Special Relativity:

https://www.amazon.com/dp/0198539525/?tag=pfamazon01-20&tag=pfamazon01-20

Here you will find its correct basis - symmetry - the speed of light thing is just fixing a constant that naturally occurs in the theory.

Thanks

Bill

https://www.amazon.com/dp/0198539525/?tag=pfamazon01-20&tag=pfamazon01-20

Here you will find its correct basis - symmetry - the speed of light thing is just fixing a constant that naturally occurs in the theory.

Thanks

Bill

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As an ignorant in the field, I believe this is a very wise suggestion.How about trying for special relativity first.

How about "Spacetime Physics", by Taylor and Wheeler?

Also, talking about special relativity, I believe the young student should be made aware that there are basically two approaches that will produce different formulas according to what is meant by "m". In the past, introductory treatments used 'relativistic mass' and 'rest mass' (French and Rindler use this approach, for example). Nowadays it is more common to just use 'invariant mass', or simply 'mass'. Many formulae, and most notably E=mc^2, can have different meanings according to what is meant by m. Caveat emptor.

General relativity in high school? Isn't that a bit too much?

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WannabeNewton

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I started learning it in high school; I don't think it's "a bit too much" in the slightest. Books like Hartle and Schutz barely assume anything with regards to the background of the reader.General relativity in high school? Isn't that a bit too much?

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If you want to study the *mathematics* of GR (and perhaps not GR or SR itself), then here's a good list of books:

**Calc 3:**

Lang's Calculus on Several Variables: https://www.amazon.com/dp/0387964053/?tag=pfamazon01-20&tag=pfamazon01-20

Spivak's calculus on manifolds: https://www.amazon.com/dp/0805390219/?tag=pfamazon01-20&tag=pfamazon01-20

**Linear algebra: **

Linear algebra done wrong: www.math.brown.edu/~treil/papers/LADW/book.pdf[/URL]

Lang's Linear algebra: [URL]https://www.amazon.com/Linear-Algebra-Undergraduate-Texts-Mathematics/dp/038796412&tag=pfamazon01-20[/URL]

or less advanced, but still good: Lang's introduction to LA: [URL]https://www.amazon.com/dp/0387962050/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[B]Elementary differential geometry:[/B]

Pressley: [URL]https://www.amazon.com/dp/184882890X/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

Do Carmo: [URL]https://www.amazon.com/dp/0132125897/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

or a very nice introduction with forms by O'Neill: [URL]https://www.amazon.com/dp/0120887355/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[B]Modern Differential Geometry with Manifolds:[/B]

Lee's three books:

[URL]https://www.amazon.com/dp/1461427908/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (this is more an introduction to topology, but this is still part of the math of relatvity)

[URL]https://www.amazon.com/dp/1441999817/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (The very best intro book on smooth manifolds and differential topology)

[URL]https://www.amazon.com/dp/0387983228/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[URL]https://www.amazon.com/dp/0125267401/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (must read if you're into relativity, but it's best to do the previous books first)

Lang's Calculus on Several Variables: https://www.amazon.com/dp/0387964053/?tag=pfamazon01-20&tag=pfamazon01-20

Spivak's calculus on manifolds: https://www.amazon.com/dp/0805390219/?tag=pfamazon01-20&tag=pfamazon01-20

Linear algebra done wrong: www.math.brown.edu/~treil/papers/LADW/book.pdf[/URL]

Lang's Linear algebra: [URL]https://www.amazon.com/Linear-Algebra-Undergraduate-Texts-Mathematics/dp/038796412&tag=pfamazon01-20[/URL]

or less advanced, but still good: Lang's introduction to LA: [URL]https://www.amazon.com/dp/0387962050/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[B]Elementary differential geometry:[/B]

Pressley: [URL]https://www.amazon.com/dp/184882890X/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

Do Carmo: [URL]https://www.amazon.com/dp/0132125897/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

or a very nice introduction with forms by O'Neill: [URL]https://www.amazon.com/dp/0120887355/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[B]Modern Differential Geometry with Manifolds:[/B]

Lee's three books:

[URL]https://www.amazon.com/dp/1461427908/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (this is more an introduction to topology, but this is still part of the math of relatvity)

[URL]https://www.amazon.com/dp/1441999817/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (The very best intro book on smooth manifolds and differential topology)

[URL]https://www.amazon.com/dp/0387983228/?tag=pfamazon01-20&tag=pfamazon01-20[/URL]

[URL]https://www.amazon.com/dp/0125267401/?tag=pfamazon01-20&tag=pfamazon01-20[/URL] (must read if you're into relativity, but it's best to do the previous books first)

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