Softcover ISBN:  9781470466763 
Product Code:  TEXT/45.S 
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eBook ISBN:  9781470450649 
Product Code:  TEXT/45.E 
List Price:  $85.00 
MAA Member Price:  $63.75 
AMS Member Price:  $63.75 
Softcover ISBN:  9781470466763 
eBook: ISBN:  9781470450649 
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:  9781470466763 
Product Code:  TEXT/45.S 
List Price:  $89.00 
MAA Member Price:  $66.75 
AMS Member Price:  $66.75 
eBook ISBN:  9781470450649 
Product Code:  TEXT/45.E 
List Price:  $85.00 
MAA Member Price:  $63.75 
AMS Member Price:  $63.75 
Softcover ISBN:  9781470466763 
eBook ISBN:  9781470450649 
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 SourceBased Approach is a comprehensive history of the development of mathematics. This, the first volume of the twovolume 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 twovolume set was designed as a textbook for the authors' acclaimed yearlong 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 Englishspeaking 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 16thcentury 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 uptodate 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


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 Book Details
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The History of Mathematics: A SourceBased Approach is a comprehensive history of the development of mathematics. This, the first volume of the twovolume 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 twovolume set was designed as a textbook for the authors' acclaimed yearlong 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 Englishspeaking 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 16thcentury 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 uptodate 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