The Nature of Mathematics, 12th Edition
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Chapter1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Chapter 10
Chapter 11
Chapter 12
Chapter 13
Chapter 14
Chapter 15
Chapter 16
Chapter 17
Chapter 18
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Reference Topics

Here is a statement of the binomial theorem (with links):
http://mathworld.wolfram.com/BinomialTheorem.html

This link gives some examples of the binomial theorem:
http://www.purplemath.com/modules/binomial.htm

This site provides a summary of the binomial distribution.
http://www.stat.yale.edu/Courses/1997-98/101/binom.htm/b>

This site calculates the binomial probabilities.
http://faculty.vassar.edu/lowry/ch5apx.html