# Problem Sets

Organized around “important” problems, each exploration includes a historical context, people involved, associated readings, guided problem solving experiences, problem extensions, reflection questions, teacher commentary, writing projects, references, and solution commentaries. Spanning the history of mathematics, the problem sets integrate the areas of algebra, geometry, number theory, probability, and calculus. The intended audience includes students in a mathematics history course, secondary and college mathematics teachers, and anyone interested in exploring mathematical problem-solving in historical contexts. My apologies in advance for any errors you discover, whether they be historical or mathematical

## Available Problem Sets

Egyptians' Solution of Algebraic Equations | ||

Egyptians' Use of Unit Fractions | ||

Babylonian Approximation of Square Roots | ||

Babylonian Solutions of the Quadratic | ||

Thales and His Semicircle Theorem | ||

Eratosthenes Measure of the Earth's Circumferance | ||

Squaring of the Lunes | ||

Three Famous Problems of Antiquity | ||

Pythagoras and His Theorem | ||

Euclid's Extensions of the Pythagorean Theorem | ||

Euclid's Exploration of Phi | ||

Pythagorean Triples | ||

Equidecomposition of Basic Geometrical Shapes | ||

The Greek's Geometrical Algebra | ||

Greek Approximation of Square Roots | ||

Chinese Approximation of Square Roots | ||

Using Euclid's Geometry to Solve Quadratics | ||

Archimedes and His Mechanical Method | ||

Archimedes' Estimation of Pi | ||

Archimedes and His Quadrature of a Parabola | ||

al-Khwarizmi's Geometric Solution of Quadratics | ||

Khayyam and His Solutions of the Cubic | ||

Fight Over Solving of the Cubic | ||

Descartes' Geometric Solutions of the Quadratic | ||

Descartes' Transform-Solve-Invert Methold | ||

Fermat and His Quadrature of a Hyperbola | ||

Pascal and His Arithmetical Triangle | ||

Newton's Generalization of the Binomial Theorem | ||

Leibniz and Sums of Infinite Sequences | ||

Leibniz and his Harmonic Triangle | ||

The Problem of Points | ||

Godel and Formal Axiomatic Systems |