# The History of Mathematics: A Source-Based Approach, Vols. 1 & 2

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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. 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 second volume takes the reader from the invention of the
calculus to the beginning of the twentieth century. The initial
discoverers of calculus are given thorough investigation, and special
attention is also paid to Newton's Principia. The eighteenth century
is presented as primarily a period of the development of calculus,
particularly in differential equations and applications of
mathematics. Mathematics blossomed in the nineteenth century and the
book explores progress in geometry, analysis, foundations, algebra,
and applied mathematics, especially celestial mechanics. The approach
throughout is markedly historiographic: How do we know what we know?
How do we read the original documents? What are the institutions
supporting mathematics? Who are the people of mathematics? The reader
learns not only the history of mathematics, but also how to think like
a historian.

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.