The History of Mathematics: A Brief Course
Praise for the Second Edition
"An amazing assemblage of worldwide contributions in mathematicsand, in addition to use as a course book, a valuable resource . . .essential."
This Third Edition of The History of Mathematicsexamines the elementary arithmetic, geometry, and algebra ofnumerous cultures, tracing their usage from Mesopotamia, Egypt,Greece, India, China, and Japan all the way to Europe during theMedieval and Renaissance periods where calculus was developed.
Aimed primarily at undergraduate students studying the historyof mathematics for science, engineering, and secondary education,the book focuses on three main ideas: the facts of who, what, when,and where major advances in mathematics took place; the type ofmathematics involved at the time; and the integration of thisinformation into a coherent picture of the development ofmathematics. In addition, the book features carefully designedproblems that guide readers to a fuller understanding of therelevant mathematics and its social and historical context.Chapter-end exercises, numerous photographs, and a listing ofrelated websites are also included for readers who wish to pursue aspecialized topic in more depth. Additional features of TheHistory of Mathematics, Third Edition include:
In addition to being an ideal coursebook for undergraduatestudents, the book also serves as a fascinating reference formathematically inclined individuals who are interested in learningabout the history of mathematics.
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LaterChinese Algebra and Geometry 23 1 Algebra 23 2 Later Chinese
Traditional Japanese Mathematics
Contents of Part V
European Mathematics 5001900
Medieval and Early Modern Europe
European Mathematics 12001500
Greek Number Theory
FifthCentury GreekGeometry 10 1 Pythagorean Geometry 10 2 Challenge No 1Unsolved Problems 10 3 Challenge No 2The Paradoxes ofZenoof Elea
Athenian Mathematics I The Classical
AthenianMathematics II Plato and Aristotle
Euclid of Alexandria
Archimedes of Syracuse
Apollonius ofPerga 15 1 History ofthe Conics
Hellenistic and Roman Geometry
Pappus andthe LaterCommentators 18 1 The Collection of Pappus
From the Vedas to Aryabhata I
Brahmagupta the Kuttaka and BhaskaraII