Expert: Paul Klarreich - 10/5/2010

Question
Hello.
I am looking for any learning resource that can be used to learn pure mathematics.I don't want books or videos that focus on the application I need a resource that proves every theorem it presents starting from beginners level especially precalculus and analytical geometry do you know any good resource that gives analytical and rigorous approach instead of intuitive one and deals with topics that are less advance than calculus? I am looking for a good mathematical foundation to be able to understand more advanced topics.  

Answer
Questioner:   hamad
Category:  Advanced Math
Private:  No
 
Subject:  Pure mathematics
Question:  Hello.
I am looking for any learning resource that can be used to learn pure mathematics.I don't want books or videos that focus on the application I need a resource that proves every theorem it presents starting from beginners level especially precalculus and analytical geometry do you know any good resource that gives analytical and rigorous approach instead of intuitive one and deals with topics that are less advance than calculus? I am looking for a good mathematical foundation to be able to understand more advanced topics.

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I suggest:
1. Any good high-school geometry text.
2. Any text on Number Theory.
3. Any precalculus text.
4. Texts titled 'Finite Mathematics'.
You can skip the 'intuitive' parts, if any.