Introduction -- GEOGRAPHIES AND CULTURES -- 1. Global -- What was mathematics in the ancient world? Greek and Chinese perspectives / G E R Lloyd -- Mathematics and authority: a case study in and Old and New World accounting / Gary Urton -- Heavenly learning, statecraft, and scholarship: the Jesuits and their mathematics in China / Catherine Jami -- The internationalization of mathematics in a world of nations, 1800-1960 / Karen Hunger Parshall -- 2. Regional -- The two cultures of mathematics in ancient Greece / Markus Asper -- Tracing mathematical networks in seventeenth-century England / Jacqueline Stedall -- Mathematics and mathematics education in traditional Vietnam / Alexei Volkov -- A Balkan trilogy: mathematics in the Balkans before World War I / Snezana Lawrence -- 3. Local -- Mathematics education in an Old Babylonian scribal school / Eleanor Robson -- The archaeology of mathematics in an ancient Greek city / David Gilman Romano -- Engineering the Neapolitan state / Massimo Mazzotti -- Observatory mathematics in the nineteenth century / David Aubin --
PEOPLE AND PRACTICES -- 4. Lives -- Patronage of the mathematical sciences in Islamic societies / Sonja Brentjes -- John Aubrey and the 'Lives of our English mathematical writers' / Kate Bennett -- Introducing mathematics, building an empire: Russia under Peter I / Irina Gouzʹevitch and Dmitri Gouzʹevitch -- Human computers in eighteenth and nineteenth-century Britain / Mary Croarken -- 5. Practices -- Mixing, building, and feeding: mathematics and technology in ancient Egypt / Corinna Rossi -- Siyaq: numerical notation and numeracy in the Persianate world / Brian Spooner and William Hanaway -- Learning arithmetic: textbooks and their users in England 1500-1900 / John Denniss -- Algorithms and automation: the production of mathematics and textiles / Carrie Brezine -- 6. Presentation -- The cognitive and cultural foundations of numbers / Stephen Chrisomalis -- Sanskrit mathematical verse / Kim Plofker -- Antiquity, nobility, and utility: picturing the Early Modern mathematical sciences / Volker R. Remmert -- Writing the ultimate mathematical textbook: Nicolas Bourbaki's Elements de mathematique / Leo Corry --
INTERACTIONS AND INTERPRETATIONS -- 7. Intellectual -- People and numbers in early imperial China / Christopher Cullen -- Mathematics in fourteenth-century theology / Mark Thakkar -- Mathematics, music, and experiment in late seventeenth-century England / Benjamin Wardhaugh -- Modernism in mathematics / Jeremy Gray -- 8. Mathematical -- The transmission of the Elements to the Latin West: three case studies / Sabine Rommevaux -- 'Gigantic implements of war': images of Newton as a mathematician / Niccolò Guicciardini -- From cascades to calculus: Rolle's theorem / June Barrow-Green -- Abstraction and application: new contexts, new interpretations in twentieth-century mathematics / Tinne Hoff Kjeldsen -- 9. Historical -- Traditions and myths in the historiography of Egyptian mathematics / Annette Imhausen -- Reading ancient Greek mathematics / Ken Saito -- Number, shape, and the nature of space: thinking through Islamic art / Carol Bier -- The historiography and history of mathematics in the Third Reich / Reinhard Siegmund-Schultze.