D.S. Morgan Mathematics

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Notes

Working notes on definitions, examples, and computations.

  1. Note

    Analytic Geometry

    Coordinate proofs in plane geometry, conics and their reflective properties, rotation of axes, and parametric curves.

  2. Note

    Classical Mechanics

    First principles of Newtonian mechanics and the Galilean group, following Arnold.

  3. Note

    Complex Analysis

    Series, singularities and residues, worked through as examples.

  4. Note

    Foundations

    Statements and proof, the number systems, parity, and the irrationality of the square root of two.