Calculus
Two Myths of Numerical Integration, Debunked
Many programmers believe that the use of higher order integration algorithms, combined with a large number of integration interval…
Calculus
Many programmers believe that the use of higher order integration algorithms, combined with a large number of integration interval…
Calculus
An easier method to evaluate the product and quotient rule, and display their symmetry.
Feynman
A Clever Way to Quickly Take Derivatives Used by Richard Feynman
Calculus
From Newton’s “Lion Claws” to the Modern Solution
Calculus
Intuitive ideas about the derivative
Calculus of Variations
It seems like the most common introduction to the Calculus of Variations is to talk about the Brachistochrone problem. It goes like this.
Calculus
From nothing but the definitions of derivatives and exponentiation, we’ll prove one of the first derivative rules you’ll learn in college
Calculus
An introduction to integral calculus with a focus on the core concepts and the beautiful intuition that lies behind the algebra.
Calculus
Exploiting the amazing symmetry of cubic polynomials to quickly find the first root using Newton’s method.
Calculus
Nothing like a late night walk on a grid to see things clearly
Calculus
How modern calculus of variations solved an ancient math problem.
Optimization
How to solve constrained optimization problems.
Calculus
The knowledge of which geometry aims is the knowledge of the eternal. — Plato
Calculus
The beginner’s guide to proving the Fundamental Theorem of Calculus, with both a visual approach for those less keen on algebra, and an…
Calculus
The Dirichlet integral was first solved by the brilliant Leonhard Euler, it then achieved fame with Dirichlet’s work on Fourier series…
Newton
Newton’s Notes on Calculus During the Great Plague of London and Letter to Leibniz