| Softcover ISBN: | 978-1-4704-6676-3 |
| Product Code: | TEXT/45.S |
| List Price: | $89.00 |
| MAA Member Price: | $66.75 |
| AMS Member Price: | $66.75 |
| eBook ISBN: | 978-1-4704-5064-9 |
| Product Code: | TEXT/45.E |
| List Price: | $85.00 |
| MAA Member Price: | $63.75 |
| AMS Member Price: | $63.75 |
| Softcover ISBN: | 978-1-4704-6676-3 |
| eBook: ISBN: | 978-1-4704-5064-9 |
| Product Code: | TEXT/45.S.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $130.50 $98.63 |
| AMS Member Price: | $130.50 $98.63 |
| Softcover ISBN: | 978-1-4704-6676-3 |
| Product Code: | TEXT/45.S |
| List Price: | $89.00 |
| MAA Member Price: | $66.75 |
| AMS Member Price: | $66.75 |
| eBook ISBN: | 978-1-4704-5064-9 |
| Product Code: | TEXT/45.E |
| List Price: | $85.00 |
| MAA Member Price: | $63.75 |
| AMS Member Price: | $63.75 |
| Softcover ISBN: | 978-1-4704-6676-3 |
| eBook ISBN: | 978-1-4704-5064-9 |
| Product Code: | TEXT/45.S.B |
| List Price: | $174.00 $131.50 |
| MAA Member Price: | $130.50 $98.63 |
| AMS Member Price: | $130.50 $98.63 |
-
Book DetailsAMS/MAA TextbooksVolume: 45; 2019; 488 ppMSC: Primary 01
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.
ReadershipUndergraduate and graduate students interested in the history of mathematics.
This item is also available as part of a set: -
Table of Contents
-
Front Cover
-
Title page
-
Copyright
-
Contents
-
Acknowledgments
-
Permissions & Acknowledgments
-
Chapter 1. Introduction
-
Chapter 2. Early Mathematics
-
Introduction
-
2.1. Early counting
-
2.2. Egyptian mathematics
-
2.3. Mesopotamian mathematics
-
2.4. A historical case study
-
2.5. Further reading
-
Chapter 3. Greek Mathematics: An Introduction
-
Introduction
-
3.1. A dialogue from Plato’s Meno
-
3.2. Geometry before Plato
-
3.3. Plato and Aristotle
-
3.4. Euclid’s Elements
-
3.5. Further reading
-
Chapter 4. Greek Mathematics: Proofs and Problems
-
Introduction
-
4.1. The development of proof
-
4.2. Methods of proof
-
4.3. Doubling the cube and trisecting an angle
-
4.4. Squaring the circle
-
4.5. Further reading
-
Chapter 5. Greek Mathematics: Curves
-
Introduction
-
5.1. Problems with curves
-
5.2. Archimedes
-
5.3. Conics
-
5.4. Further reading
-
Chapter 6. Greek Mathematics: Later Years
-
Introduction
-
6.1. The Hellenistic world
-
6.2. Ptolemy and astronomy
-
6.3. Diophantus
-
6.4. The commentating tradition
-
6.5. Further reading
-
Chapter 7. Mathematics in India and China
-
Introduction
-
7.1. Indian mathematics
-
7.2. Chinese mathematics
-
7.3. Further reading
-
Chapter 8. Mathematics in the Islamic World
-
Introduction
-
8.1. The Islamic intellectual world
-
8.2. Islamic algebra
-
8.3. Islamic geometry
-
8.4. Further reading
-
Chapter 9. The Mathematical Awakening of Europe
-
Introduction
-
9.1. Mathematics in the medieval Christian West
-
9.2. The rise of the universities
-
9.3. Further reading
-
Chapter 10. The Renaissance: Recovery and Innovation
-
Introduction
-
10.1. Early European mathematics
-
10.2. Renaissance translators: Maurolico andCommandino
-
10.3. Cubics and quartics in 16th-century Italy
-
10.4. Bombelli and Viète
-
10.5. Further reading
-
Chapter 11. The Renaissance of Mathematics in Britain
-
Introduction
-
11.1. Mathematics in the vernacular: Robert Recorde
-
11.2. Mathematics for the Commonwealth:John Dee
-
11.3. The mathematical practitioners
-
11.4. Thomas Harriot
-
11.5. Excellent briefe rules: Napier and Briggs
-
11.6. Further reading
-
Chapter 12. The Astronomical Revolution
-
Introduction
-
12.1. The Copernican revolution
-
12.2. Kepler
-
12.3. The language of nature: Galileo
-
12.4. Further reading
-
Chapter 13. European Mathematics in the Early 17th Century
-
Introduction
-
13.1. Algebra and analysis
-
13.2. Fermat’s number theory
-
13.3. Descartes
-
13.4. Pappus’s locus problem
-
13.5. The Cartesian challenge to Euclid
-
13.6. Further reading
-
Chapter 14. Concluding Remarks
-
Chapter 15. Exercises
-
Advice on tackling the exercises
-
Exercises: Part A
-
Exercises: Part B
-
Exercises: Part C
-
Bibliography
-
Index
-
Back Cover
-
-
Additional Material
-
Reviews
-
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 Reviews
-
-
RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Additional Material
- Reviews
- Requests
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.
Undergraduate and graduate students interested in the history of mathematics.
-
Front Cover
-
Title page
-
Copyright
-
Contents
-
Acknowledgments
-
Permissions & Acknowledgments
-
Chapter 1. Introduction
-
Chapter 2. Early Mathematics
-
Introduction
-
2.1. Early counting
-
2.2. Egyptian mathematics
-
2.3. Mesopotamian mathematics
-
2.4. A historical case study
-
2.5. Further reading
-
Chapter 3. Greek Mathematics: An Introduction
-
Introduction
-
3.1. A dialogue from Plato’s Meno
-
3.2. Geometry before Plato
-
3.3. Plato and Aristotle
-
3.4. Euclid’s Elements
-
3.5. Further reading
-
Chapter 4. Greek Mathematics: Proofs and Problems
-
Introduction
-
4.1. The development of proof
-
4.2. Methods of proof
-
4.3. Doubling the cube and trisecting an angle
-
4.4. Squaring the circle
-
4.5. Further reading
-
Chapter 5. Greek Mathematics: Curves
-
Introduction
-
5.1. Problems with curves
-
5.2. Archimedes
-
5.3. Conics
-
5.4. Further reading
-
Chapter 6. Greek Mathematics: Later Years
-
Introduction
-
6.1. The Hellenistic world
-
6.2. Ptolemy and astronomy
-
6.3. Diophantus
-
6.4. The commentating tradition
-
6.5. Further reading
-
Chapter 7. Mathematics in India and China
-
Introduction
-
7.1. Indian mathematics
-
7.2. Chinese mathematics
-
7.3. Further reading
-
Chapter 8. Mathematics in the Islamic World
-
Introduction
-
8.1. The Islamic intellectual world
-
8.2. Islamic algebra
-
8.3. Islamic geometry
-
8.4. Further reading
-
Chapter 9. The Mathematical Awakening of Europe
-
Introduction
-
9.1. Mathematics in the medieval Christian West
-
9.2. The rise of the universities
-
9.3. Further reading
-
Chapter 10. The Renaissance: Recovery and Innovation
-
Introduction
-
10.1. Early European mathematics
-
10.2. Renaissance translators: Maurolico andCommandino
-
10.3. Cubics and quartics in 16th-century Italy
-
10.4. Bombelli and Viète
-
10.5. Further reading
-
Chapter 11. The Renaissance of Mathematics in Britain
-
Introduction
-
11.1. Mathematics in the vernacular: Robert Recorde
-
11.2. Mathematics for the Commonwealth:John Dee
-
11.3. The mathematical practitioners
-
11.4. Thomas Harriot
-
11.5. Excellent briefe rules: Napier and Briggs
-
11.6. Further reading
-
Chapter 12. The Astronomical Revolution
-
Introduction
-
12.1. The Copernican revolution
-
12.2. Kepler
-
12.3. The language of nature: Galileo
-
12.4. Further reading
-
Chapter 13. European Mathematics in the Early 17th Century
-
Introduction
-
13.1. Algebra and analysis
-
13.2. Fermat’s number theory
-
13.3. Descartes
-
13.4. Pappus’s locus problem
-
13.5. The Cartesian challenge to Euclid
-
13.6. Further reading
-
Chapter 14. Concluding Remarks
-
Chapter 15. Exercises
-
Advice on tackling the exercises
-
Exercises: Part A
-
Exercises: Part B
-
Exercises: Part C
-
Bibliography
-
Index
-
Back Cover
-
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 Reviews
