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Notes  Topic  Download 
1 
Mathematical Induction WellOrdering 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 

3 
Modular Arithmetic and Introduction to Congruences Basic Theorems (Congruences) Fundamental Theorem of Arithmetic 

4 
More Fundamental Theorem of Arithmetic Fermat's Little Theorem and Corollary Wilson's Theorem Euler's Function 

5 
Relatively Prime Numbers Euler's Theorem Introduction to Rational Numbers The Proof that Root 2 is Irrational 

6 
RSA Coding RSA Coding Example


7 
The Euclidean Algorithm


8 
Rational and Irrational Numbers 

9 
Irrational Numbers Algebraic Numbers Intermediate Value Theorem Upper and Lower Bounds 
PDF (new) 
10 
Introduction to Real Numbers Real Number Thorems Dedekind Cuts 

11 
Complex Numbers 

12 
Fundamental Theorem of Algebra Proof Winding Numbers 

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 

19 
Proof that one can not trisect an angle of 60 degrees with Compass and Straight Edge 

20 
Regular Polygons and Constructible Angles 

21 
More on Constructible Numbers, and Angles 

22 
Cardinality Aside (Very Short Notes ) 
PDF (new) 
23 
Topology Part I 
PDF (new) 
Set Topology Handout 
HTML Format  
24 
Toplogy Part II 