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The History of Mathematics: An Introduction, Sixth Edition, is written for the one- or two-semester math history course taken by juniors or seniors, and covers the history behind the topics typically covered in an undergraduate math curriculum or in elementary schools or high schools. Elegantly written in David Burton’s imitable prose, this classic text provides rich historical context to the mathematics that undergrad math and math education majors encounter every day.
Early Number Systems and Symbols
Mathematics in Early Civilizations
The Beginnings of Greek Mathematics
The Alexandrian School: Euclid
The Twilight of Greek Mathematics: Diophantus
The First Awakening: Fibonacci
The Renaissance of Mathematics: Cardan and Tartaglia
The Mechanical World: Descartes and Newton
The Development of Probability Theory: Pascal, Bernoulli, and Laplace
The Revival of Number Theory: Fermat, Euler, and Gauss
Nineteenth−Century Contributions: Lobachevsky to Hilbert
Transition to the Twentieth Century: Cantor and Kronecker
Extensions and Generalizations: Hardy, Hausdorff, and Noether