The History of Mathematics: A Brief Course
Praise for the Second Edition
"An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential."
This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed.
Aimed primarily at undergraduate students studying the history of 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 of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include:
In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about 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