Daily Maths — the derivation track

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Newton's Method: The Geometry of Convergence

2026-09-15  undergraduate

The Monotone Convergence Theorem: Where Limits Come From

2026-09-14  undergraduate

The Logistic Equation: Taming Exponential Growth

2026-09-13  undergraduate

The Leibniz Series for Pi

2026-09-12  undergraduate

The Intermediate Value Theorem's Party Tricks

2026-09-11  undergraduate

The Integral of sec x: Navigation and the Sneaky One

2026-09-10  undergraduate

The Principle of Inclusion-Exclusion: Fixing Double Counting

2026-09-09  undergraduate

Heron's Formula: Area from Three Sides

2026-09-08  undergraduate

The Leaning Tower of Books

2026-09-07  undergraduate

Grandi's Series: The Paradox of 1 - 1 + 1 - 1...

2026-09-06  undergraduate

The Most Irrational Number

2026-09-05  undergraduate

Gambler's Ruin: The Certainty of Loss

2026-09-04  undergraduate

Gabriel's Horn: The Painter's Paradox

2026-09-03  undergraduate

Frullani's Integral: The Magic of Stretched Functions

2026-09-02  undergraduate

Why There Are Exactly Five Platonic Solids

2026-09-01  undergraduate

Fibonacci by Eigenvalues: The Golden Ratio's Secret

2026-08-31  undergraduate

Binet's Formula: The Golden Ratio in a Series

2026-08-30  undergraduate

Feynman's Trick: Differentiation Under the Integral

2026-08-29  undergraduate

Fermat's Little Theorem: The Secret of Shuffling

2026-08-28  undergraduate

Why y' = y Forces e^x

2026-08-27  undergraduate

Euler's Totient Function: The Heart of RSA

2026-08-26  undergraduate

Euler's Formula for Polyhedra: V - E + F = 2

2026-08-25  undergraduate

Euler's Identity: The Most Beautiful Equation

2026-08-24  undergraduate

The Infinite Nature of Primes

2026-08-23  undergraduate

Whisper Galleries: The Magic of the Ellipse

2026-08-22  undergraduate

Why e is Irrational

2026-08-21  undergraduate

The Dirichlet Integral: Solving the Unsolvable

2026-08-20  undergraduate

The Determinant Is an Area

2026-08-19  undergraduate

The Hat-Check Problem: A Lesson in Derangements

2026-08-18  undergraduate

The Coupon Collector Problem: Why the Last Sticker Costs the Most

2026-08-17  undergraduate

Compounding to the Limit: e Emerges

2026-08-16  undergraduate

The Chinese Remainder Theorem: Rebuilding the Number

2026-08-15  undergraduate

The Cauchy-Schwarz Inequality: The Master Inequality

2026-08-14  undergraduate

The Catenary: The Shape of a Hanging Chain

2026-08-13  undergraduate

The Cantor Set: The Infinite Dust

2026-08-12  undergraduate

Cantor's Diagonal Argument: Different Sizes of Infinity

2026-08-11  undergraduate

Buffon's Needle: Estimating Pi with Floorboards

2026-08-10  undergraduate

The Euclidean Algorithm and Bézout's Identity

2026-08-08  undergraduate

Benford's Law: The Mystery of the Leading Digit

2026-08-07  undergraduate

The Basel Problem: Euler's Audacious Leap

2026-08-06  undergraduate

The Babylonian Square-Root Algorithm

2026-08-05  undergraduate

The Area Under a Cycloid

2026-08-04  undergraduate

The AM-GM Inequality: The Power of the Average

2026-08-03  undergraduate

The Alternating Harmonic Series: Why it Equals ln 2

2026-08-02  undergraduate

Why 0.999... Equals 1

2026-08-01  foundation

The Gaussian Integral

2026-08-01  undergraduate

The Birthday Paradox: Why 23 is the Magic Number

2026-08-01  undergraduate