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TABLE OF CONTENTS Introduction 1 GEOGRAPHIES AND CULTURES 5 1. Global 1.1 What was mathematics in the ancient world? Greek and Chinese perspectives G E R Lloyd 7 1.2 Mathematics and authority: a case study in and Old New World accounting Gary Urton 27 1.3 Heavenly learning, statecraft, and scholarship: the Jesuits and their mathematics in China Catherine Jami 57 1.4 The internationalization of mathematics in a world of nations, 1800-1960 Karen Hunger Parshall 2. Regional 2.1 The two cultures of mathematics in ancient Greece Markus Asper 107 2.2 Tracing mathematical networks in seventeenth-century England Jacqueline Stedall 2.3 Mathematics and mathematics education in traditional Vietnam Alexei Volkov 133 2.4 A Balkan trilogy: mathematics in the Balkans before the First World War Snezana Lawrence 153 3. Local 197 3.1 Mathematics education in an Old Babylonian scribal school Eleanor Robson 199 3.2 The archaeology of mathematics in an ancient Greek city David Gilman Romano 229 3.3 Engineering the Neapolitan state Massimo Mazzotti 253 3.4 Observatory mathematics in the nineteenth century David Aubin 273 PEOPLE AND PRACTICES 4. Lives 299 4.1 Patronage of the mathematical sciences in Islamic societies Sonja Brentjes 301 4.2 John Aubrey and the 'Lives of our English mathematical writers' Kate Bennett 329 4.3 Introducing mathematics, building an empire: Russia under Peter I Irina Gouzevitch and Dmitri Gouzevitch 353 4.4 Human computers in eighteenth and nineteenth-century Britain Mary Croarken 375 5. Practices 405 5.1 Mixing, building, and feeding: mathematics and technology in ancient Egypt Corinna Rossi 407 5.2 Siyaq: numerical notation in the Persianate world? Brian Spooner and William Hanaway 429 5.3 Learning arithmetic: textbooks and their users in England 1500-1900 John Denniss 448 5.4 Algorithms and automation: the production of mathematics and textiles Carrie Brezine 468 6. Presentation 493 6.1 The cognitive and cultural foundations of numbers Stephen Chrisomalis 495 6.2 Sanskrit mathematical verse Kim Plofker 519 6.3 Antiquity, nobility, and utility: picturing the Early Modern mathematical sciences Volker Remmert 537 6.4 Writing the ultimate mathematical textbook: Nicolas Bourbaki's Elements de mathematique Leo Corry 565 INTERACTIONS AND INTERPRETATIONS 7. Intellectual 589 7.1 People and numbers in early imperial China Christopher Cullen 591 7.2 Mathematics in fourteenth-century theology Mark Thakkar 619 7.3 Mathematics, music, and experiment in late seventeenth-century England Benjamin Wardhaugh 639 7.4 Modernism in mathematics Jeremy Gray 663 8. Mathematical 685 8.1 The transmission of the Elements to the Latin West: three case studies Sabine Rommeveaux 687 8.2 'Gigantic implements of war': images of Newton as a mathematician Niccolo Guicciardini 707 8.3 From cascades to calculus: Rolle's theorem June Barrow-Green 737 8.4 Abstraction and application: new contexts, new interpretations in twentieth-century mathematics Tinne Hoff Kjeldsen 755 9. Historical 779 9.1 Traditions and myths in the historiography of Egyptian mathematics Annette Imhausen 781 9.2 Reading ancient Greek mathematics Ken Saito 801 9.3 Number, shape, and the nature of space: thinking through Islamic art Carol Bier 827 9.4 The historiography and history of mathematics in the Third Reich Reinhard Siegmund-Schultze 853 About the contributors 879 Index 889

Library of Congress Subject Headings for this publication:

Mathematics -- History -- Handbooks, manuals, etc.