Calculus
Walking On A Grid
Nothing like a late night walk on a grid to see things clearly
Calculus
Calculus
Calculus and the Legend of the Founding of Carthage
How modern calculus of variations solved an ancient math problem.
Optimization
The Method of Lagrange Multipliers
How to solve constrained optimization problems.
Calculus
Trapezoidal Rule: A Method of Numerical Integration
The knowledge of which geometry aims is the knowledge of the eternal. — Plato
Calculus
The Fundamental Theorem of 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
Solving the Dirichlet Integral
The Dirichlet integral was first solved by the brilliant Leonhard Euler, it then achieved fame with Dirichlet’s work on Fourier series…
Newton
What Did Newton Do with his Time During Quarantine?
Newton’s Notes on Calculus During the Great Plague of London and Letter to Leibniz
Calculus
Solving the Gaussian Integral
Lord Kelvin wrote of this integral: “A mathematician is one to whom that is as obvious as that twice two makes four is to you. Liouville…
Calculus
Another Proof Of Zero Equals One
The first experience with calculus is usually quite memorable for most of us. For some it introduces a tool of immense beauty and…
Analysis
Taylor Series And The Power Of Approximation
We take a deeper look at what Taylor Series does and how we can obtain polynomials for approximating non-polynomial functions.
Calculus
Rediscovering the Euler-Lagrange Equation
For the determined amateur
Mathematics
Taylor’s Theorem
Approximating functions near points. It’s cooler than it sounds, trust me.