Math From Scratch

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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.)

W. Blaine Dowler

  • Jul 1, 2014 LATEST EPISODE
  • infrequent NEW EPISODES
  • 45 EPISODES


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Latest episodes from Math From Scratch

Introducing Basis Vectors

Play Episode Listen Later Jul 1, 2014


bureau 42 vectors
Matrix Solutions to Polynomial Equations

Play Episode Listen Later Jun 1, 2014


matrix bureau 42 matrices polynomials
Introducing Matrices

Play Episode Listen Later May 1, 2014


matrix bureau 42 matrices
n-tuples, Vectors and beyond

Play Episode Listen Later Apr 1, 2014


bureau 42 vectors vector spaces
Fundamental Theorem of Algebra: An Introduction

Play Episode Listen Later Mar 1, 2014


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Complex Numbers and New Algebras

Play Episode Listen Later Feb 1, 2014


bureau 42 complex numbers imaginary numbers
Dropping the Axiom of Inequality

Play Episode Listen Later Jan 1, 2014


bureau 42 complex numbers imaginary numbers
Finding Quartic Roots

Play Episode Listen Later Dec 1, 2013


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Finding Cubic Polynomial Roots

Play Episode Listen Later Nov 1, 2013


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Finding Polynomial Roots

Play Episode Listen Later Oct 1, 2013


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Defining Polynomials

Play Episode Listen Later Sep 1, 2013


bureau 42 polynomials
Order of Operations and Isolating Variables

Play Episode Listen Later Aug 1, 2013


bureau 42 pemdas bedmas
Constants, Variables and Parameters

Play Episode Listen Later Jul 1, 2013


bureau 42 variables parameters constants
Defining the Real Numbers

Play Episode Listen Later Jun 1, 2013


bureau 42 real numbers
Constructing an Impossible Number

Play Episode Listen Later Apr 1, 2013


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Decimal Representation

Play Episode Listen Later Mar 1, 2013


bureau 42 decimals
Rational Exponents

Play Episode Listen Later Feb 1, 2013


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Infinite Sequences and Series

Play Episode Listen Later Jan 1, 2013


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Finite Sequences and Series

Play Episode Listen Later Dec 1, 2012


series bureau 42 sequences
Infinite Processes

Play Episode Listen Later Nov 1, 2012


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Defining the Rational Numbers

Play Episode Listen Later Oct 1, 2012


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The Field Axioms

Play Episode Listen Later Sep 1, 2012


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The RSA Encryption Algorithm

Play Episode Listen Later Jun 1, 2012


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Chinese Remainder Theorem

Play Episode Listen Later Apr 1, 2012


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Linear Diophantine Equations

Play Episode Listen Later Mar 1, 2012


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The Euclidean Algorithm

Play Episode Listen Later Feb 1, 2012


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Modular Arithmetic

Play Episode Listen Later Jan 1, 2012


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Divisibility Rules

Play Episode Listen Later Dec 1, 2011


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The Fundamental Theorem of Arithmetic

Play Episode Listen Later Nov 1, 2011


bureau 42 prime numbers odd numbers proof by induction
Defining Division With Remainder

Play Episode Listen Later Oct 1, 2011


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Metric Spaces Other Than Canada

Play Episode Listen Later Sep 10, 2011


bureau 42 number line absolute value metric spaces
Bases Other Than 10

Play Episode Listen Later Aug 20, 2011


binary bureau 42 octal hexadecimal
All Your Bases Are Belong to Us

Play Episode Listen Later Jul 30, 2011


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One Algebra to Rule Them All: Ring Theory

Play Episode Listen Later Jul 9, 2011


bureau 42 ring theory
Cosets and Cardinality

Play Episode Listen Later Jun 18, 2011


bureau 42 factors cardinality
Mappings

Play Episode Listen Later May 28, 2011


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In Her Majesty's Secret Subgroup

Play Episode Listen Later May 7, 2011


bureau 42 subgroups
Your Locker Does NOT Have a Combination

Play Episode Listen Later Apr 16, 2011


bureau 42 permutations
Structuring Symmetry - Applications of Group Theory

Play Episode Listen Later Mar 26, 2011


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The Group Axioms

Play Episode Listen Later Mar 5, 2011


bureau 42 algebra
Defining Whole Numbers

Play Episode Listen Later Feb 12, 2011


bureau 42 natural numbers

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