The History of Mathematics: An Introduction
This International Series in Pure and Applied Mathematics text is designed for the junior/senior mathematics major who intends to teach mathematics in high school or college. It concentrates on the history of those topics typically covered in an undergraduate curriculum or in elementary schools or high schools. At least one year of calculus is a prerequisite for this course. This book contains enough material for a 2 semester course but it is flexible enough to be used in the more common 1 semester course.
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Mathematics in Early Civilizations
5 Babylonian Mathematics 58
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Academy Alexandria algebra ancient Arabic Archimedes arithmetic Arithmetica astronomer axioms Babylonian Babylonian Mathematics Bernoulli Book calculation called Cambridge Cantor century circle congruent construction cube cubic cubic equation Descartes diameter Diophantus discovery divisors Egyptian equal Eratosthenes Euclid Euclid's Elements Euclidean Euler exterior angle theorem Fermat Fibonacci formula fractions Gauss geometry given Greek mathematics hence Hint History infinite integers known Laplace Leibniz length line segment logical mathematicians method multiplication Newton non-Euclidean geometry notation number theory obtained Papyrus parallel postulate Pascal perfect number perpendicular positive integers prime numbers Principia problem proof Proposition proved Ptolemy published Pythagorean Pythagorean theorem Pythagorean triple radius ratio rational numbers real numbers rectangle result right angles right triangle roots scholars scientific side solution solving square symbols Thales theorem translation treatise triangle ABC triangular numbers unit fractions University writing