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- Thread starter DavidGuimont
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I can only comment on the math. But if you already finished calculus, then there are a lot of options open to you. So "what's next" is actually entirely up to you.

You could study linear algebra. I know you already took a course in linear algebra, but it was probably quite computational and not very theoretical. You might want to learn linear algebra from a more theoretical point of view. Books like Axler, Friedberg or Lax should be fine for you.

https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20

https://www.amazon.com/dp/0130084514/?tag=pfamazon01-20

https://www.amazon.com/dp/0471751561/?tag=pfamazon01-20

You could also do abstract algebra. This studies structures such as groups, rings, fields, etc. Normally, people study linear algebra first, but it is not really necessary. A good first book is Pinter.

https://www.amazon.com/dp/0486474178/?tag=pfamazon01-20

You could also do analysis. If you want to study Fourier series, then this is the way to go. I think it's best to study a book like Spivak, Lang or Abbott first, since they are quite gentle. Don't start of with Rudin.

https://www.amazon.com/dp/0914098918/?tag=pfamazon01-20

https://www.amazon.com/dp/1441928537/?tag=pfamazon01-20

https://www.amazon.com/dp/1441928669/?tag=pfamazon01-20

Then there's also discrete mathematics. Here you study combinatorics, graph theory, designs, generating functions, etc. Books like Grimaldi and Knuth are good.

https://www.amazon.com/dp/B008NO91I2/?tag=pfamazon01-20

https://www.amazon.com/dp/0201558025/?tag=pfamazon01-20

Now, all the math courses I listed are proofy. If you are not comfortable with proofs, then it might help to go through a proof book first. The obvious choice here is Velleman and Houston.

https://www.amazon.com/dp/0521675995/?tag=pfamazon01-20

https://www.amazon.com/dp/052171978X/?tag=pfamazon01-20

Good luck!!

You could study linear algebra. I know you already took a course in linear algebra, but it was probably quite computational and not very theoretical. You might want to learn linear algebra from a more theoretical point of view. Books like Axler, Friedberg or Lax should be fine for you.

https://www.amazon.com/dp/0387982582/?tag=pfamazon01-20

https://www.amazon.com/dp/0130084514/?tag=pfamazon01-20

https://www.amazon.com/dp/0471751561/?tag=pfamazon01-20

You could also do abstract algebra. This studies structures such as groups, rings, fields, etc. Normally, people study linear algebra first, but it is not really necessary. A good first book is Pinter.

https://www.amazon.com/dp/0486474178/?tag=pfamazon01-20

You could also do analysis. If you want to study Fourier series, then this is the way to go. I think it's best to study a book like Spivak, Lang or Abbott first, since they are quite gentle. Don't start of with Rudin.

https://www.amazon.com/dp/0914098918/?tag=pfamazon01-20

https://www.amazon.com/dp/1441928537/?tag=pfamazon01-20

https://www.amazon.com/dp/1441928669/?tag=pfamazon01-20

Then there's also discrete mathematics. Here you study combinatorics, graph theory, designs, generating functions, etc. Books like Grimaldi and Knuth are good.

https://www.amazon.com/dp/B008NO91I2/?tag=pfamazon01-20

https://www.amazon.com/dp/0201558025/?tag=pfamazon01-20

Now, all the math courses I listed are proofy. If you are not comfortable with proofs, then it might help to go through a proof book first. The obvious choice here is Velleman and Houston.

https://www.amazon.com/dp/0521675995/?tag=pfamazon01-20

https://www.amazon.com/dp/052171978X/?tag=pfamazon01-20

Good luck!!

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