Algebraic Calculus/A

Invitation
An invitation to a more logical, solid and careful analysis
 * No infinite processes, Real numbers


 * No idle philosophizing
 * No axioms of set theory
 * The importance of definitions
 * Explicit examples and computations

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 * Watch Linear Algebra, Math Foundations, and Math History!

Points and Lines
Affine geometry is key, with parallelism but not necessarily perpendicularity. Points and lines can be incident.
 * Points are named like A=[3,2]
 * Lines are named like l:x+2y=2
 * The coefficients must not both be zero
 * Colinear points all lie on the same line
 * Lines are concurrent when they all pass through the same point