Interactive Real Analysis
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Real Analysis
1. Sets and Relations
2. Infinity and Induction
2.1. Countable Infinity
2.2. Uncountable Infinity
2.3. The Principle of Induction
2.4. The Real Number System
2.5. Pi and e are irrational
3. Sequences of Numbers
4. Series of Numbers
5. Topology
6. Limits, Continuity, and Differentiation
7. The Integral
8. Sequences of Functions
9. Historical Tidbits
Java Tools
2.3. The Principle of Induction
Theorem 2.3.6: Binomial Theorem
Let
a
and
b
be real numbers, and
n
a natural number. Then:
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