[BSHM meetings] Topics in the history of financial mathematics: early commerce to chaos in modern stock markets

This account provides an overview of the study day, entitled 'Topics in the History of Financial Mathematics: Early commerce to chaos in modern stock markets,' held by the British Society for the History of Mathematics jointly with Gresham College, at Gresham College, London on 25th April 2008. The series of talks explored the development of mathematics and mathematical techniques in a commercial and financial context.

Mathematical notebook, and commonplace book, circa 1689-1769

Manuscript notebook, possibly kept by Harvard students, containing 17th century English transcriptions of arithmetic and geometry texts, one of which is dated 1689-1690; 18th century transcriptions from John Ward’s “The Young Mathematician’s Guide”; and notes on physics lectures delivered by John Winthrop, the Hollis Professor of Mathematics and Natural Philosophy at Harvard from 1738 to 1779. The notebook also contains 18th century reading notes on Henry VIII, Tudor succession, and English history from Daniel Neal’s “The History of the Puritans” and David Hume’s “History of England,” and notes on Ancient history, taken mainly from Charles Rollin’s “The Ancient History of the Egyptians, Carthaginians, Assyrians, Babylonians, Medes and Persians, Macedonians and Grecians.” Additionally included are an excerpt from Plutarch’s “Lives” and transcriptions of three articles from “The Gentleman’s Magazine, and Historical Chronicle,” published in 1769: “A Critique on the Works of Ovid”; a book review of “A New Voyage to the West-Indies”; and “Genuine Anecdotes of Celebrated Writers, &.” The flyleaf contains the inscription “Semper boni aliquid operis facito ut diabolus te semper inveniat occupatum,” a variation on a quote of Saint Jerome that translates approximately as “Always good to do some work so that the devil may always find you occupied.” In the seventeenth and eighteenth centuries, Harvard College undergraduates often copied academic texts and lecture notes into personal notebooks in place of printed textbooks. Winthrop used Ward’s textbook in his class, while the books of Hume, Neal, and Rollin were used in history courses taught at Harvard in the 18th century.

Sharḥ Khulāṣat al-ḥisāb : manuscript, 1840

Title from f. 1v.

Sharḥ al-Nuzhah fī al-ghubār / lil-Imām al-ʻAllāmah Shihāb al-Dīn Aḥmad al-Bayrūtī : manuscript, undated

بسم الله الرحمن الرحيم اصلى الله على سيدنا محمد وآله وصحبه وسلم الحمد لله الذي تحصى نعمة جميع الحساب... :Incipit

ʻUyūn al-ḥussāb fī fann al-ḥisāb : manuscript, undated

Title from f. 1r.

Kitāb Taḥrīr uṣūl li-Ūqlīdis

min taʼlīf Khwajah Nasīr al-Dīn al-Ṭūsī = Euclidis Elementorum geometricorum libri tredecim / extraditione doctissimi Nasiridini Tusini nunc primum Arabicè impressi.

ʻUmdat al-ṭullāb fī maʻrifat ʻilm al-ḥisāb : manuscript, 1637

Written in one column, 21 lines per page, in black rubricated in red.

Mathematical notebook attributed to Thaddeus Mason Harris, ca. 1787

Hardcover notebook containing handwritten transcriptions of rules, cases, and examples from 18th century mathematical texts. The author and purpose of the volume is unclear, though it has been connected with Thaddeus Mason Harris (Harvard AB 1787). Most of the entries include questions and related answers, suggesting the notebook was used as a manuscript textbook and workbook. The extracts appear to be copied from John Dean's " Practical arithmetic" (published in 1756 and 1761), Daniel Fenning's "The young algebraist's companion" (published in multiple editions beginning in 1750), and Martin Clare's "Youth's introduction to trade and business" (extracts first included in 1748 edition).

Algebra, or universal mathematics: revived 1738 with notes and additions : manuscript, [after 1738]

Instructional book in algebra with exercises.

Declaration signed by Harvard students to not speak in the vernacular for one year, 1712 August 23

The declaration, handwritten in Latin and signed by members of the junior and sophomore classes (Harvard Classes of 1714 and 1715), promises that the undersigned will not use the vernacular but instead "whenever, at meals, at banquets,...in our rooms, in all our gatherings, wherever and whenever" will speak in Latin, Greek, or Hebrew through the next May. Additional Latin text appears on both the front and back of the document. The original is accompanied by a typed transcription and two partial handwritten translations. Note at top of original: "Script. Leonardo Dowding, Composit. a Tho. Foxcroft."

A copy of the general map the most part compiled from the actual survey by order of the commisioners appointed to settle the partition line between the provinces of New York and New Jersey : manuscript map, 1769

Map showing the whole of New Jersey and its borders with as well as part of Pennsylvania and New York. Map is drawn in black ink with green, pink, and yellow watercolors used to show features such as waterways, borders, and places of interest. Notes on map concern border disputes between New Jersey and New York.

Notes of cases decided in the Superior and Supreme Judicial Courts of Massachusetts from 1772 to 1789: taken by the Hon. William Cushing, one of the judges during that period and most of the time Chief Justice

Notes of cases taken by Judge William Cushing during his tenure on the Massachusetts superior and supreme courts. (Formerly MS 2141.)

Letter to Samuel Dexter, 13 November 1796

Letter regarding a bankruptcy case, later heard by the U.S. Supreme Court in 1797 (3 Dallas 369; Emory v. Greenough) and the upcoming national election.

Letter to John Worthington: 13 August 1791

Letter to Worhtington, a Springfield, Massachusetts lawyer, regarding tax on a meeting house near Pittsfield, Massachusetts and public support for ministers.

Capt. Weeks his answers to interogatorys on oath ... ca. 1738

Weeks (of Greenland, N.H.) was accused of concealing and embezzling items from his late son's estate. Document is signed: William Parker reg.