Math From Scratch
Summary: A long term series of PDF format lessons, building mathematics from scratch. New lessons are posted the first day of the month ten months of the year (January - June and September - December.)
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- Artist: W. Blaine Dowler
- Copyright: ℗ & © 2010 W. Blaine Dowler
Podcasts:
Introducing sets of numbers, linear diophantine equations and the fundamental theorem of arithmetic
Introducing the division algorithms
Introducing metric spaces, absolute value and the number line
Examining popular nonstandard bases, including binary, octal and hexadecimal
Dealing with base 10 and the bases representation theorem
Introducing and manipulating the axioms of ring theory
Covering factors, cosets, cardinality and Lagrange's Theorem
Detailing and defining mappings and functions
Dealing with and defining subgroups
Introducing permutations and combinations
Basic applications of group theory
Establishing the axioms of an algebraic group, one of the simplest yet widely applicable algebraic systems.
Formally defining the counting numbers, as well as addition and multiplication
Introducing sets and assembling the basics of mathematics.
Defining relations
