The Oxford Handbook of the History of Mathematics
Series: Oxford Handbooks;
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Product details:
- Publisher OUP Oxford
- Date of Publication 18 December 2008
- ISBN 9780199213122
- Binding Hardback
- No. of pages926 pages
- Size 250x184x51 mm
- Weight 1733 g
- Language English
- Illustrations 90 line illustrations, 57 halftones 0
Categories
Short description:
This Handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practice it. Thirty-six self-contained chapters, each written by a specialist, provide a fascinating overview of 5000 years of mathematics and its key cultures for academics in mathematics, historians of science, and general historians.
MoreLong description:
This Handbook explores the history of mathematics under a series of themes which raise new questions about what mathematics has been and what it has meant to practice it. It addresses questions of who creates mathematics, who uses it, and how. A broader understanding of mathematical practitioners naturally leads to a new appreciation of what counts as a historical source. Material and oral evidence isdrawn upon as well as an unusual array of textual sources. Further, the ways in which people have chosen to express themselves are as historically meaningful as the contents of the mathematics they have produced. Mathematics is not a fixed and unchanging entity. New questions, contexts, and applications all influence what counts as productive ways of thinking. Because the history of mathematics should interact constructively with other ways of studying the past, the contributors to this book come from a diverse range of intellectual backgrounds in anthropology, archaeology, art history, philosophy, and literature, as well as history of mathematics more traditionally understood.
The thirty-six self-contained, multifaceted chapters, each written by a specialist, are arranged under three main headings: 'Geographies and Cultures', 'Peoples and Practices', and 'Interactions and Interpretations'. Together they deal with the mathematics of 5000 years, but without privileging the past three centuries, and an impressive range of periods and places with many points of cross-reference between chapters. The key mathematical cultures of North America, Europe, the Middle East, India, and China are all represented here as well as areas which are not often treated in mainstream history of mathematics, such as Russia, the Balkans, Vietnam, and South America. A vital reference for graduates and researchers in mathematics, historians of science, and general historians.
Table of Contents:
Introduction
Geographies and Cultures: Global
What was mathematics in the ancient world? Greek and Chinese perspectives
Mathematics and authority: a case study in New and Old World accounting
Heavenly learning, statecraft, and scholarship: the Jesuits and their mathematics in China
The internationalization of mathematics in a world of nations, 1800-1960
Geographies and Cultures: Regional
The two cultures of mathematics in ancient Greece
Tracing mathematical networks in seventeenth-century England
Mathematics and mathematics education in traditional Vietnam
A Balkan trilogy: mathematics in the Balkans before the First World War
Geographies and Cultures: Local
Mathematics education in an Old Babylonian scribal school
The archaeology of mathematics in an ancient Greek city
Engineering the Neapolitan state
Observatory mathematics in the nineteenth century
People and Practices: Lives
Patronage of the mathematical sciences in Islamic societies
John Aubrey and the 'Lives of our English mathematical writers'
Introducing mathematics, building an empire: Russia under Peter I
Human computers in eighteenth and nineteenth-century Britain
People and Practices: Practices
Mixing, building, and feeding: mathematics and technology in ancient Egypt
Siyaq: numerical notation in the Persianate world
Learning arithmetic: textbooks and their users in England 1500-1900
Algorithms and automation: mathematics and weaving
People and Practices: Presentation
The cognitive and cultural foundations of numbers
Sanskrit mathematical verse
Antiquity, nobility, and utility: picturing the Early Modern mathematical sciences
Writing the ultimate mathematical textbook: Nicolas Bourbaki's Eléments de mathématique
Interactions and Interpretations: Intellectual
People and numbers in early imperial China
Mathematics in fourteenth-century theology
Mathematics, music, and experiment in late seventeenth-century England
Modernism in mathematics
Interactions and Interpretations: Mathematical
The transmission of the Elements to the Latin West: three case studies
'Gigantic implements of war': images of Newton as a mathematician
From cascades to calculus: Rolle's Theorem
Abstraction and application: new contexts, new interpretations in twentieth-century mathematics
Interactions and Interpretations: Historical
Traditions and myths in the historiography of Egyptian mathematics
Reading ancient Greek mathematics
Number, shape, and the nature of space: thinking through Islamic art
The historiography and history of mathematics in the Third Reich
About the contributors
Index
