The History of Mathematics: A Brief CourseJohn Wiley & Sons, 8 de nov. 2012 - 648 pàgines 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. |
Continguts
Computations in Ancient Mesopotamia | |
Geometry inMesopotamia 5 1 The Pythagorean Theorem 5 2 PlaneFigures | |
Egyptian Numerals and Arithmetic | |
Algebra and Geometry in Ancient Egypt | |
Greek Mathematics From 500 | |
LaterChinese Algebra and Geometry 23 1 Algebra 23 2 Later Chinese | |
Traditional Japanese Mathematics | |
Contents of Part V | |
Islamic Geometry | |
European Mathematics 5001900 | |
Medieval and Early Modern Europe | |
European Mathematics 12001500 | |
RenaissanceArtandGeometry | |
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 | |
Ptolemys Geography | |
Part | |
Pappus andthe LaterCommentators 18 1 The Collection of Pappus | |
AryabhataI | |
From the Vedas to Aryabhata I | |
Brahmagupta the Kuttaka and BhaskaraII | |
Chinese Mathematics | |
Chapter | |
Special Topics | |
Probability | |
Algebra from 1600 to 1850 | |
Projective and Algebraic Geometry | |
Differential Geometry 39 1Plane Curves | |
NonEuclidean Geometry | |
Complex Analysis | |
Foundations of Real Analysis | |
Set Theory 44 1 Technical Background | |
Logic | |
Name Index | |