图书简介
This Handbook explores the history of mathematics, addressing what mathematics has been and what it has meant to practise 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.
IntroductionEleanor Robson and Jacqueline Stedall: ; 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 Gouzevitch: 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 Elements de mathematique; 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
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