Hello, all. Got back home on Sunday. I am in the best shape of my life (surprisingly, most people get fat in jail...not too many people work out). I am going to review the books I read. I want to seriously thank you all for your help. Even though I will likely never apply most of what I learned, it forced my brain to work had and kept me sharp and kept me occupied.
1) Euclidean Geometry by Solomonovich: Excellent first book. Easy yet still rigorous. 100% of theorems are proved and assumes nothing of the reader.
2) Euclid elements- Hated it. Archaic wording and inferior proofs to Solomonovich. I stopped reading about 10% of the way in.
3) Trigonometry by Gelfand: Easy. I would skip it because all the trig you'll need is in the calc books.
4) Pre-calc in a nutshell: non-rigorous but very good nonetheless. Very practical, I recommend this book.
5) Basic mathematics by Lang: Good but I would skip it because the previous book covers what you need for calc and this book spends too little time on the new topics.
6) Short calc by lang: Decent. Really good proofs but the rigor stops towards the end and its very incomplete. Scratch it and go with book 7
7) Elementary Calculus by Jerome Keisler: Best book on the list. Covers a wide range and gives both intuition and rigor..
8) Apostol 1-2: Mixed feelings. In a way these books discouraged me from wanting to learn more math because it is extremely dense. I found the topics to be arranged strangely and at times it felt too abstract. On the other hand they were very rigorous and forced me to think, which I liked. I also liked the historical context.
The hardest thing about self-teaching (especially in jail) is you don't have people to bounce ideas off of or ask questions to. I had no internet which made it harder. Since I am a career salesman and investor I will never apply most of this. Between wife, work, exercise, and fun, I can only devote so much time to leisure reading and since my interest spans many different fields besides math, I have decided to only continue with Linear Algebra, Probability theory, and statistics.
Can anybody help me with a good statistics book?
Thanks again!