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 (7)

• 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.

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