The History of Mathematics: A Source-Based Approach (Volume 1)

ISBN-13: 9781470466763 / Angielski / Miękka / 2019 / 488 str.

Jeremy Gray;June Barrow-Green;Robin Wilson

Opis

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.

Spis treści

• 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