Mathematics, science, and computer page
This takes you to some challenging mathematical recreations, olympiad
style problems, etc. As of Section 3, the Diversions cover a huge array of
mathematical subjects, including relations to physics and chemistry.
Become an expert on solving algebra word problems by learning the techniques in
Scheme that I also use to solve the problems in stoichiometry.
Some of the topics covered here are Clifford-Geometric Algebra, New Foundations
for Classical Mechanics Page. Unipodal algebra -- Bicomplex numbers, algebra
word problem solving page, Topics about Functions Page, such as injections,
bijections, surjections. Calculus I and II, Complex Analysis, NumberTheory,
and more.
Examining the problem of how to order the evaluation of operations in the algebra of real numbers.
Physics Page
Some of the topics covered here are Thermodynamics and Statistical Mechanics
(includes personal notes for Leonard Susskind lectures) Electromagnetism Page,
The Mechanics, Air Pressure with height, The Einstein/Relativity Page, The
Quantum Mechanics Page, The Rocket Equation, The Ideal Gas Law, Hard-Sphere
Elastic Collision, and more.
Some of the topics covered here are balancing chemical equations, the conservation
principles that underlie the theory of ionization equilibrium problems and the
theory behind R.I.C.E., Ionization equilibrium problems, stoichiometry problems
using Scheme.
I don't have a lot on this page yet. What I have are some read-along notes for the
the video lecture series by Professor Steve Brunton on Control Theory.
Here is presented A History of the Electronic Digital Computer up to 1979. Also,
installing Linux as a dual boot PC with Windows. And, then, we answer the
question: Should you purchase a used computer for your next computer?
Here is presented some tips on programming, particulalry in Python.
(Introductory stuff only at this point.)
Some of the topics covered here are 'Heuristics, the art of problem solving',
Memorization comes before understanding! virtual emplacement. Window Shopping
for Algebras, The How of Mathematics and Physics (this article includes some
history of how Willard Gibbs developed important aspects of thermodynamics,
such as the equation dU = TdS - PdV.), Motivated Solution to the Cubic Equation.
Here are presented a number of papers on General Science, including 'What is
Science?', 'The Irascible Ignaz Semmelweis', 'Theory, Model, Law, Hypothesis,
and all that Jazz', The Nikola Tesla Page.