Finding the Right Math Book for Me: What is Mathematics?

[Moose352]

I'm not entirely sure what book I want, even what subject it would be considered as...which is why I'm here. My mathematical knowledge is dismal. I want some kind of book that will cover the very fundamentals rigorously. I don't want a high school textbook which will just bs its way around, but something that will be challenging and force me to think in mathematical ways. I'm seriously deficient in geometry and number theory, so I'm kind of leaning in that area. I've looked at the table of contents of the book "What is mathematics" by courant, and I like what I see. Is this a good book to get?

 

[neurocomp2003]

mm are you looking for a specific subject in math? logic, analysis, diffQ, algebra, problem solving?
"Intro. to Calculus" James stewart is a CDN recommended textbook
"Problem Solving" by larson is good if you wann learn to prove stuff

 

[hhegab]

It sounds like you have a clear idea of what you want in a math book and the areas you want to focus on. "What is Mathematics" by Courant is a classic book that covers a wide range of mathematical topics and is known for its rigorous approach. It would be a great choice for someone looking to strengthen their fundamentals and challenge themselves in geometry and number theory.

However, I would also suggest considering a few other options before making a decision. "The Art of Problem Solving" by Richard Rusczyk is a highly recommended book for those looking to develop problem-solving skills and think critically about mathematics. "A Mathematician's Lament" by Paul Lockhart is another popular choice, focusing on the beauty and creativity of mathematics rather than just rote memorization.

Ultimately, the best math book for you will depend on your individual learning style and goals. I would recommend researching and possibly even previewing a few different options before committing to one. Good luck in your search for the perfect math book!