**AMS/MAA Textbooks**

Volume: 45;
2019;
488 pp;
Hardcover

MSC: Primary 01;

**Print ISBN: 978-1-4704-4352-8
Product Code: TEXT/45**

List Price: $89.00

AMS Member Price: $66.75

MAA Member Price: $66.75

**Electronic ISBN: 978-1-4704-5064-9
Product Code: TEXT/45.E**

List Price: $89.00

AMS Member Price: $66.75

MAA Member Price: $66.75

#### Supplemental Materials

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

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*June Barrow-Green; Jeremy Gray; Robin Wilson*

MAA Press: An Imprint of the American Mathematical Society

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.

#### Readership

Undergraduate and graduate students interested in the history of mathematics.

#### Reviews & Endorsements

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

#### Table of Contents

# Table of Contents

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

- Cover Cover11
- Title page iii4
- Copyright iv5
- Contents v6
- Acknowledgments ix10
- Chapter 1. Introduction 116
- Chapter 2. Early Mathematics 520
- Chapter 3. Greek Mathematics: An Introduction 4156
- Chapter 4. Greek Mathematics: Proofs and Problems 95110
- Chapter 5. Greek Mathematics: Curves 125140
- Chapter 6. Greek Mathematics: Later Years 161176
- Chapter 7. Mathematics in India and China 197212
- Chapter 8. Mathematics in the Islamic World 235250
- Chapter 9. The Mathematical Awakening of Europe 261276
- Chapter 10. The Renaissance: Recovery and Innovation 277292
- Chapter 11. The Renaissance of Mathematics in Britain 319334
- Chapter 12. The Astronomical Revolution 373388
- Chapter 13. European Mathematics in the Early 17th Century 407422
- Chapter 14. Concluding Remarks 453468
- Chapter 15. Exercises 457472
- Bibliography 477492
- Index 485500
- Back Cover Back Cover1505