• Introduction



• Geographies and Cultures: Global



• 1.1: G E R Lloyd: What was mathematics in the ancient world? Greek and Chinese perspectives



• 1.2: Gary Urton: Mathematics and authority: a case study in New and Old World accounting



• 1.3: Catherine Jami: Heavenly learning, statecraft, and scholarship: the Jesuits and their mathematics in China



• 1.4: Karen Parshall: The internationalization of mathematics in a world of nations, 1800-1960



• Geographies and Cultures: Regional



• 2.1: Markus Asper: The two cultures of mathematics in ancient Greece



• 2.2: Jacqueline Stedall: Tracing mathematical networks in seventeenth-century England



• 2.3: Alexei Volkov: Mathematics and mathematics education in traditional Vietnam



• 2.4: Snezana Lawrence: A Balkan trilogy: mathematics in the Balkans before the First World War



• Geographies and Cultures: Local



• 3.1: Eleanor Robson: Mathematics education in an Old Babylonian scribal school



• 3.2: David Gilman Romano: The archaeology of mathematics in an ancient Greek city



• 3.3: Massimo Mazzotti: Engineering the Neapolitan state



• 3.4: David Aubin: Observatory mathematics in the nineteenth century



• People and Practices: Lives



• 4.1: Sonja Brentjes: Patronage of the mathematical sciences in Islamic societies



• 4.2: Kate Bennett: John Aubrey and the 'Lives of our English mathematical writers'



• 4.3: Irina and Dmitri GouzÃ(c)vitch: Introducing mathematics, building an empire: Russia under Peter I



• 4.4: Mary Croarken: Human computers in eighteenth and nineteenth-century Britain



• People and Practices: Practices



• 5.1: Corinna Rossi: Mixing, building, and feeding: mathematics and technology in ancient Egypt



• 5.2: Brian Spooner and William Hanaway: Siyaq: numerical notation in the Persianate world



• 5.3: John Denniss: Learning arithmetic: textbooks and their users in England 1500-1900



• 5.4: Carrie Brezine: Algorithms and automation: mathematics and weaving



• People and Practices: Presentation



• 6.1: Stephen Chrisomalis: The cognitive and cultural foundations of numbers



• 6.2: Kim Plofker: Sanskrit mathematical verse



• 6.3: Volker Remmert: Antiquity, nobility, and utility: picturing the Early Modern mathematical sciences



• 6.4: Leo Corry: Writing the ultimate mathematical textbook: Nicolas Bourbaki's ElÃ(c)ments de mathÃ(c)matique



• Interactions and Interpretations: Intellectual



• 7.1: Christopher Cullen: People and numbers in early imperial China



• 7.2: Mark Thakkar: Mathematics in fourteenth-century theology



• 7.3: Benjamin Wardhaugh: Mathematics, music, and experiment in late seventeenth-century England



• 7.4: Jeremy Gray: Modernism in mathematics



• Interactions and Interpretations: Mathematical



• 8.1: Sabine Rommeveaux: The transmission of the Elements to the Latin West: three case studies



• 8.2: Niccolo Guicciardini: 'Gigantic implements of war': images of Newton as a mathematician



• 8.3: June Barrow-Green: From cascades to calculus: Rolle's Theorem



• 8.4: Tinne Hoff Kjeldsen: Abstraction and application: new contexts, new interpretations in twentieth-century mathematics



• Interactions and Interpretations: Historical



• 9.1: Annette Imhausen: Traditions and myths in the historiography of Egyptian mathematics



• 9.2: Ken Saito: Reading ancient Greek mathematics



• 9.3: Carol Bier: Number, shape, and the nature of space: thinking through Islamic art



• 9.4: Reinhard Siegmund-Schultze: The historiography and history of mathematics in the Third Reich



• About the contributors



• Index