Explore how mathematical knowledge is recorded, preserved, and transmitted across generations through this 46-minute lecture examining heritage-making in mathematics. Discover the people, institutions, and material objects that give mathematical ideas longevity, challenging the notion that mathematics itself is somehow permanent. Delve into two contrasting types of 19th-century French libraries: the private collections of renowned mathematicians and secondary school libraries, investigating how the recording and forgetting of mathematical ideas is shaped by publishing, political, and intellectual contexts. Learn about mathematicians' personal libraries as "laboratories" where scholars annotated books, compiled working tables, and developed new mathematical concepts, while also examining the symbolic value of canonical works like Euclid and Galileo that appeared on shelves regardless of actual use. Understand the revolutionary educational reforms that transformed mathematical canon-building in French schools, from the 1795-1802 Écoles centrales with their official recommended book lists to the lycées that rebuilt collections from scratch. Examine how budget constraints, book redistribution, and institutional prestige influenced which mathematical works survived and thrived, including why figures like Laplace and Lagrange maintained their prominence through prizes and symbolic legacy. Gain insights into the fragile nature of mathematical heritage through contemporary examples including prisoner-of-war libraries and specialized mathematical institutions, revealing how libraries function as both practical tools and heritage builders that link mathematical past, present, and future.

Syllabus

00:00 // Welcome & talk overview
00:06 // Speaker intro: Caroline Ehrhardt & project “PATRIMATH”—patrimony of mathematics
00:53 // What does it mean for mathematics to “last”? Heritage, memory & forgetting
02:25 // Why focus on libraries? Preservation, transmission, and creating new math
03:32 // “The mathematician’s laboratory”: books, journals & Fermat’s margin note
05:23 // Case study set-up: 19th-century French mathematicians’ private libraries
06:16 // Arbogast’s famed collection & what such catalogs can and can’t tell us
08:35 // How scholars used their books: annotations, compilations, and working tables
16:01 // When books weren’t read: gifts, unopened volumes & bibliophile value
19:41 // Symbolic “canon” on the shelf: Euclid, Galileo, Ptolemy & multiple editions
23:15 // Library temporality: ancient authors via modern editions & translations
25:00 // Why antiquity persists: editorial cycles, canons, and who gets forgotten
27:02 // Shift to schools: revolutionary reforms & the rise of secondary-school libraries
28:47 // 1795–1802 Écoles centrales: official recommended math book lists
30:44 // Building a forward-looking canon: analytic approach, clarity & availability
33:27 // On-the-ground reality: scarce budgets, book redistribution & patchy holdings
35:35 // Replacing Écoles centrales: lycées start mostly from scratch
37:45 // What the lycées owned: old standbys, new textbooks & advanced treatises
40:37 // Why Laplace & Lagrange show up: prizes, prestige & symbolic legacy
42:14 // Libraries as tools and heritage builders: linking past, present, future
43:07 // Emerging cases: Oflag 78 POW library & Turin’s number theory ecosystem
44:23 // Fragile heritage: Bureau des Longitudes & the Institut Poincaré library
45:57 // Takeaways & thanks