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1 The Arithmetic of Braids Exercises - The Arithmetic of Braids
2 Combing Braids MORE CONTENT AND LINKS WILL BE ADDED DAILY - SO CHECK BACK ON THIS PAGE FREQUENTLY
3 The Arithmetic of Permutations Exercises - The Arithmetic of Permutations
4 Powers, Exponents, and their Dependencies Exercises - Powers, Exponents, and their Dependencies
5 Roots - A Story of Two Notations Exercises - Roots - A Story of Two Notations
6 The Triangle of Power and Logarithms Exercises - The Triangle of Power and Logarithms
Exercises - Review Set A
7 Functions and Mapping Diagrams/Transformation Figures Exercises - Functions
8 Alternate Bases and Polynomials Exercises - Alternate Bases and Polynomials
9 Factoring, the Binomial Theorem, and Eisenstein's Criterion Exercises - Factoring, the Binomial Theorem, and Eisenstein's Criterion
10 Developing an Algorithm to Divide Polynomials Exercises - Developing an Algorithm to Divide Polynomials
11 Clocks, Groups, and Commutative Rings Exercises - Clocks, Groups, and Commutative Rings
12 The Field of Rational Expressions Exercises - The Field of Rational Expressions
13 Extending Fields and Related Root Tricks Exercises - Extending Fields and Related Root Tricks
14 Roots of Polynomials, the Zero-Product Property, and Sign Analysis Exercises - Roots of Polynomials, the Zero-Product Property, and Sign Analysis
Exercises - Review Set B
15 Graphs of Simple Functions, their Inverses, and Compositions Exercises - Graphs of Simple Functions, their Inverses, and Compositions
16 The Socks and Shoes Principle Exercises - The Socks and Shoes Principle
17 Equivalent Equations Exercises - Equivalent Equations
18 Restricting Relations & Piecewise-Defined Functions
Linear Functions & Mobius Transformations
Exercises - Restricting Relations & Piecewise-Defined Functions
Exercises - Linear Functions & Mobius Transformations
19 Quadratic Equations, Po-Shen Loh's Method, Depressed Terms, and Viete's Formulas Exercises - Quadratic Equations, Po-Shen Loh's Method, Depressed Terms, and Viete's Formulas
20 Another Extended Field: The Complex Numbers Exercises - Another Extended Field: The Complex Numbers
21 Complex Numbers Birth Trigonometry! Exercises - Trigonometry
22 Solving the General Cubic Equation
How Imaginary Numbers were Invented (Watch This!)
23 Solving the General Quartic Equation
24 The Fundamental Theorem of Algebra
25 The "Natural" Base and Hyperbolic Trigonometry
26 Abel's Impossibility Theorem