(adsbygoogle = window.adsbygoogle || []).push({}); Books for self-study in "pure areas" of mathematics

Hi,

I am starting an applied mathematics course this year at university. Unfortunately I don't have the option to study "pure" areas of mathematics, but I would like to learn more about them to become a more complete mathematician at the end of the course, as I understand that areas such as topology also have important practical applications and also because of my intelectual curiosity.

Therefore I would like to know if you guys could recommend good books for self study in topology, graph theory, number theory and group theory, or any other "purer" area that I may be forgetting and you think is important/interesting.

I like books that have many examples or worked problems but also present proofs. I recently studied linear algebra using Gilbert Strang's video lectures and David Poole's book, and I thought this was a good method and the syllabus was of sufficient depth and difficulty for my current conditions, so I believe this would be the level I am looking for (first years of undergradute school).

Thanks for your help!

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Books for self-study in pure areas of mathematics

**Physics Forums | Science Articles, Homework Help, Discussion**