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I became interested in how numbers actually work recently. I want a source that covers number theory. Explaining how and why numbers react the way they do. A friend recommended Mathematical Proofs: A Transition to Advanced Mathematics.

I want to learn about the concept of numbers, how they interact etc. I am a high school student, but most college level material will be appropriate.

Thanks.

-- Also, in my search I have found Mathematics in 10 lessons: The Grand Tour, and Foundations and Fundamentals of Mathematics.

If anyone could confirm that those two resources are adequate, I would appreciate it, and other resources are still welcome.

P.S. I do not like the Khan Academy. His presentations do not... serve my needs.

  • 0
    I presume you've looked into [Rosen's book](http://www.aw-bc.com/rosen/index.html)?2010-12-23
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    [Number theory](http://en.wikipedia.org/wiki/Number_theory) is more closely tied to integers than "numbers" in general. It sounds like you are after a more general overview of mathematics to include analysis, numerical methods, foundations of mathematics, and abstract algebra, rather than just number theory. This question should probably be retagged.2010-12-23
  • 0
    What tag would you suggest?2010-12-23
  • 0
    @user5061: Hmm, I'd say soft-question, reference-request, learning.2010-12-23

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