Burton D.M. The History of Mathematics: An Introduction

7th Edition. — New York: McGraw-Hill, 2011. — 820 p. — ISBN: 978–0–07–338315–6.The History of Mathematics: An Introduction, Seventh 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. Burton illuminates the people, stories, and social context behind mathematics’ greatest historical advances while maintaining appropriate focus on the mathematical concepts themselves. Its wealth of information, mathematical and historical accuracy, and renowned presentation make The History of Mathematics: An Introduction, Seventh Edition a valuable resource that teachers and students will want as part of a permanent library.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.
General Bibliography.
Additional Reading.
The Greek Alphabet.
Solutions to Selected Problems.