Thomas Lang

An exploration into the derivative of x^x and x^x^x, and the concept of tetration and other hyper-exponentiat…

The theory and applications behind one of the most important derivative rule in calculus: the derivative of i…

A complete treatment on quadratic factorisation: basic methods, quadratic formula, general method and quadrat…

A comprehensive guide into the Overshooting Method, and how to use it to find the antiderivatives of a wide r…

A complete guide on logarithm, from basic theory, applications to logarithmic identities and logarithm on com…

A first comprehensive guide exploring a derivative rule not featured in standard textbooks: the derivative ru…

A brief look into why the "traditional proof" for Chain Rule is wrong - and how to rectify it to make it comp…

An exploration into the theoretical underpinning behind the algebra of infinite limits, and why polynomials b…

A definitive guide on Desmos: the online graphing calculator that allows you to graph and compute in a pletho…

A complete guide on computational sketching with Desmos: how to draw your favorite picture with equations and…

Integer long division revisited from the higher math point of view, featuring the theory behind long division…

A high-level, non-technical introduction to LaTeX: its advantages, its weaknesses, and its future in the 21st…

The most comprehensive glossary of higher mathematical jargon on the Web, featuring 106 terms from "abstract …

An illustrated guide to the 10 principles of higher mathematical learning, that allows one to scale beyond sc…