Mathematics

Autumn colour

The articles listed below represent my own attempts to get to grips with some of the mathematical topics which have interested me. I do not claim any originality (or indeed, veracity) for the discoveries and proofs which they contain but they are the results of my own investigations, not mere copies of Wikipedia articles. I have, however, used Wikipedia and other excellent maths sites to check what I have written.

• 2pi or not 2pi
• Ant World
• Arctangent formulae
• Bernouilli Numbers
• Bravais Lattices
• Calculus of Finite Differences
• Complex Power Series
• Conic Sections in Polar Coordinates
• Continued Fractions and Hofstadter's INT Function
• Continued Fractions and the Mandelbrot Set
• Cubic_Equations
• Cyclic Numbers
• Deterministic Equations
• Distribution of Primes
• Euler's Formula
• Fibonaccci_Numbers
• Hopalong Fractals
• Hypercubes_and_Hyperspheres
• Kappa Functions
• Lagrangians and Hamiltonians
• Linear Transformations
• Linton Sets
• Maxima and Minima in 2 Dimensions
• Newton-Raphson Fractals
• Partitions
• Pascals Pyramid
• Pascal's Triangle and the Summation of Polynomials
• Perfect Numbers
• Permutations and Combinations
• Pi and e
• Pythagorean_Triplets
• Random Walk in 1 Dimension
• Regular_Solids
• Regular_Tilings
• Solid Angles and Polyhedra
• Some Properties of Numbers
• Spherical Triangles
• Stacking Spheres
• The 15 Puzzle
• The Euler Lagrange Equation
• The Exponential Function
• The Riemann Zeta Function
• The Stepping-stone Problem
  Last updated: January 2021