Mathematics
Theorems, structures, and methods across pure and applied mathematics.
Subcategories
- Geometry — The study of space, shape, and the relations of figures.
- Number Theory — The study of the integers and their properties.
Articles (9)
- Logarithms Explained: How the Slide Rule Multiplies by Adding
A logarithm is the power a fixed base must be raised to in order to give a number, and that rule let the slide rule turn multiplication into addition. - The Fibonacci Sequence and the Golden Ratio Explained
Each Fibonacci number is the sum of the previous two, and their ratio approaches the golden ratio, about 1.618. See the math, the history, and the myths. - Game Theory
The mathematics of strategic interaction — players, payoffs, and equilibrium — from von Neumann's minimax theorem to Nash equilibria and evolutionary stability. - The Abacus and Mental Calculation
How the abacus works, why bead arithmetic outperforms electronic calculators for trained users on speed, and what it reveals about the human number sense. - Fundamental Theorem of Calculus
The theorem connecting differentiation and integration: the derivative of an integral recovers the integrand, and definite integrals equal differences of antiderivatives. - Vectors and Matrices
The basic objects of linear algebra: directed quantities with magnitude and direction, and rectangular arrays of numbers with defined arithmetic. - Pythagorean Theorem
The central relation of Euclidean geometry: in a right triangle, the square of the hypotenuse equals the sum of the squares of the other two sides. - Bayes' Theorem
The rule for updating the probability of a hypothesis when new evidence arrives, relating prior and conditional probabilities. - Riemann Zeta Function
A complex function central to analytic number theory; the location of its zeros encodes the distribution of the prime numbers.