Notes on various mathematical topics A Few Notes on Kepler Triangles A Few Notes on Category Theory Some ideas on vector spaces and quantum mechanics (WIP) A Curious and Beautiful Integral A Few Notes on the Fourier Series A Few Notes on Linear Algebra A Few Notes on Vector Calculus An Interesting Integral Involving The Golden Ratio A Few Notes on Harmonic Oscillators and Fields (WIP) A Few Notes on Functional Analysis (WIP) A Few Notes on the Brachistochrone Problem A Few Notes on the Principle of Least Action and Newton’s Second Law of Motion A Useful Mathematical Trick, Telescoping Series, and the Infinite Sum of the Reciprocals of the Triangular Numbers A Few Notes on Euler’s Formula and Euler's Identity A Few Notes on Euler’s Product Formula and the Riemann Zeta Function A Few Notes on Euler's Solution of the Basel Problem A few notes on the Dirac Delta Function and the Laplace Transform Why do parallel lines appear to meet in the distance? A few notes on Projective Geometry A bit on a structural correspondence between rings and groups A bit on infinite series Proof that the sqaure root of 2 is irrational A Few Notes on the Division Algorithm (WIP) Notes on Groups, Rings, and Fields A Few Notes on Cayley's Theorem A Few Notes on Group, Ring and Field Theory (warning: WIP) A Few Notes on Change of Basis A Note on Algebriac Structures Some notes on Density Operators, Expectation Values, and Matrix Shapes A Few Notes on Bell States, Superdense Coding, and Quantum Teleportation Notes on the Bloch Sphere Notes on the Dual Beam Splitter Experiment Just for fun A Bit about the Mega Millions Lottery Cool math is hiding in the "12 Days of Christmas Christmastime is Christmas Math Time! A bit about the spiral of Theodorus What is hiding inside the number 2? A bit about Ramanujan and nested radicals What is hiding inside the number 3? Square roots and cube roots... \pi^\pi = ? Is there a closed form for \sqrt{2 + \sqrt{2 + \sqrt{2 + \sqrt{2 + \cdots}}}}? Can you spot the error? Happy New Year 2022! What is the difference in our ages? Happy New Year 2021! Fermat's Christmas Theorem Merry Christmas! Last Update: 12.27.2024 by dmm613@gmail.com
