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 Notes Topic Download 1 Mathematical Induction  Well-Ordering Principle  Introduction to Primes PDF (new) 2 Complete Mathematical Induction Problem with the Proof that everyone is the same age Series with Positive Terms: Convergence and Divergence Composite and Prime Numbers PDF 3 Modular Arithmetic and Introduction to Congruences Basic Theorems (Congruences) Fundamental Theorem of Arithmetic PDF 4 More Fundamental Theorem of Arithmetic Fermat's Little Theorem and Corollary Wilson's Theorem Euler's Function PDF 5 Relatively Prime Numbers Euler's Theorem Introduction to Rational Numbers The Proof that Root 2 is Irrational PDF 6 RSA Coding RSA Coding Example PDF 7 The Euclidean Algorithm PDF 8 Rational and Irrational Numbers PDF 9 Irrational Numbers Algebraic Numbers Intermediate Value Theorem Upper and Lower Bounds PDF (new) 10 Introduction to Real Numbers Real Number Thorems Dedekind Cuts PDF 11 Complex Numbers PDF 12 Fundamental Theorem of Algebra Proof Winding Numbers PDF 13 Factor Theorem Size of Sets (Infinite and Finite) Introduction to Cardinality PDF (new) 14 Cardinality Part I PDF (new) 15 Cardinality Part II PDF (new) 16 Cardinality Part III PDF (new) 17 Cardinality Part IV Introduction to Compass and Straight Edge Problems PDF (new) 18 Constructible Numbers Fields and Surds PDF 19 Proof that one can not trisect an angle of 60 degrees with Compass and Straight Edge PDF 20 Regular Polygons and Constructible Angles PDF 21 More on Constructible Numbers, and Angles PDF 22 Cardinality Aside (Very Short Notes ) PDF (new) 23 Topology Part I PDF (new) Set Topology Handout HTML Format 24 Toplogy Part II PDF