
The History of Mathematics
A Source-Based Approach (Volume 1)
American Mathematical Society (Publisher)
Published on 30. January 2019
Book
Paperback/Softback
488 pages
978-1-4704-6676-3 (ISBN)
Description
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.
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.
Reviews / Votes
"The treatment of the history of mathematics in this text is extensive and authoritative, using up-to-date scholarship by the authors and other recognized experts in the field, and introduces the reader to a myriad of primary and secondary sources for each topic..It is important for students to engage directly with the mathematics itself as originally written if they are to get a good feel for the mathematics of another time and place. I also like the masterful way the source material is contextualized and explained. And I welcome the inclusion of alternative interpretations of a development, where they exist, and the book encouraging readers as 'joint explorers' to think through the evidence for each viewpoint...I believe it will be a wonderful resource for anyone teaching the history of mathematics, and, as such, it certainly belongs in every academic library." -Calvin Jongsma, MAA ReviewsMore details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
ISBN-13
978-1-4704-6676-3 (9781470466763)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
June Barrow-Green, The Open University, Milton Keynes, United Kingdom.
Jeremy Gray, The Open University, Milton Keynes, United Kingdom.
Robin Wilson The Open University, Milton Keynes, United Kingdom.
Jeremy Gray, The Open University, Milton Keynes, United Kingdom.
Robin Wilson The Open University, Milton Keynes, United Kingdom.
Content
Acknowledgments
1 Introduction
2 Early Mathematics
3 Greek Mathematics: An Introduction
4 Greek Mathematics: Proofs and Problem
5 Greek Mathematics: Curves
6 Greek Mathematics: Later Years
7 Mathematics in India and China
8 Mathematics in the Islamic World
9 The Mathematical Awakening of Europe
10 The Renaissance: Recovery and Innovation
11 The Renaissance of Mathematics in Britain
12 The Astronomical Revolution
13 European Mathematics in the Early 17th Century
14 Concluding Remarks
15 Exercises
Bibliography
Index
1 Introduction
2 Early Mathematics
3 Greek Mathematics: An Introduction
4 Greek Mathematics: Proofs and Problem
5 Greek Mathematics: Curves
6 Greek Mathematics: Later Years
7 Mathematics in India and China
8 Mathematics in the Islamic World
9 The Mathematical Awakening of Europe
10 The Renaissance: Recovery and Innovation
11 The Renaissance of Mathematics in Britain
12 The Astronomical Revolution
13 European Mathematics in the Early 17th Century
14 Concluding Remarks
15 Exercises
Bibliography
Index