The history of mathematics : a source-based approach
著者
書誌事項
The history of mathematics : a source-based approach
(AMS/MAA textbooks, v. 45)
MAA Press, an imprint of the American Mathematical Society, c2019
- v. 1
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注記
Includes bibliographical references (p. 477-484) and index
内容説明・目次
内容説明
The History of Mathematics: A Source-Based Approach is a comprehensive history of the development of mathematics. This, the first volume of the two-volume set, takes readers from the beginning of counting in prehistory to 1600 and the threshold of the discovery of calculus. It is notable for the extensive engagement with original--primary and secondary-source material. The coverage is worldwide, and embraces developments, including education, in Egypt, Mesopotamia, Greece, China, India, the Islamic world and Europe. The emphasis on astronomy and its historical relationship to mathematics is new, and the presentation of every topic is informed by the most recent scholarship in the field.
The two-volume set was designed as a textbook for the authors' acclaimed year-long course at the Open University. It is, in addition to being an innovative and insightful textbook, an invaluable resource for students and scholars of the history of mathematics. The authors, each among the most distinguished mathematical historians in the world, have produced over fifty books and earned scholarly and expository prizes from the major mathematical societies of the English-speaking world.
目次
Introduction
Early mathematics
Greek mathematics: An introduction
Greek mathematics: Proofs and problems
Greek mathematics: Curves
Greek mathematics: Later years
Mathematics in India and China
Mathematics in the Islamic world
The mathematical awakening of Europe
The Renaissance: Recovery and innovation
The Renaissance of mathematics in Britain
The astronomical revolution
European mathematics in the early 17th century
Concluding remarks
Exercises
Bibliography
Index.
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