General-audience books

Links direct to pages on this site.

• A Wealth of Numbers: An anthology of 500 years of popular mathematics writing (Princeton, 2012).
• Poor Robin’s Prophecies: A curious almanac, and the everyday mathematics of Georgian Britain (OUP, 2012).
• Gunpowder and Geometry: The remarkable life of Charles Hutton (William Collins, 2019).
• The Book of Wonders: The many lives of Euclid’s Elements (William Collins, 2020).
• Counting: Humans, History and the Infinite Lives of Numbers (William Collins, 2024).

Academic books

• Music, Experiment and Mathematics in England, 1653–1705 (Ashgate, 2008).
• How to Read Historical Mathematics (Princeton, 2010).
• The History of the History of Mathematics: Case studies from the seventeenth, eighteenth and nineteenth centuries (edited collection) (Peter Lang, 2012).
• Reading Mathematics in the Early Modern World (co-editor) (Routledge, 2020).

Editions

• John Birchensha: Writings on Music (co-editor) (Ashgate, 2009).
• The Lakers: Thomas Plumptre, 1798 (2012).
• Thomas Salmon: Writings on Music (2 vols: Ashgate, 2013).
• The Compendium Musicæ of René Descartes: early English responses (Brepols, 2014).
• John Wallis: Writings on Music (co-editor) (Ashgate, 2014).
• The Correspondence of Charles Hutton (1737–1823): Mathematical networks in Georgian Britain (OUP, 2017).

Catalogues

Online as noted: external links.

• Charles Hutton: Calendar of Correspondence (Early Modern Letters Online, 2017).
• Euclid in print, 1482–1703. A catalogue of the editions of the Elements and other Euclidean works (co-editor) (online: Bibliographical Society, 2020).
• Hutton’s books. [Catalogue of the library of Charles Hutton, with introduction] (online: 2021).

Articles and chapters

Most are available online through the Oxford Research Archive.

• ‘The logarithmic ear: Pietro Mengoli’s mathematics of music’, Annals of Science (2007).
• ‘Poor Robin and Merry Andrew: Mathematical humour in Restoration England’, Bulletin of the British Society for the History of Mathematics (2007).
• ‘Musical logarithms in the seventeenth century: Descartes, Mercator, Newton’, Historia mathematica (2008).
• ‘Mathematics, music, and experiment’ in Robson and Stedall, Oxford Handbook of the History of Mathematics (OUP, 2008).
• ‘Diagrams and mathematics in the French and English translations of Descartes’ Compendium musicae’, in Fox, Franco–British interactions in the sciences (College Publications, 2010).
• ‘Consuming Mathematics: John Ward’s Young Mathematician’s Guide (1707) and its owners’, Journal for Eighteenth-Century Studies (2015).
• ‘A “lost” chapter in the calculation of π: Baron Zach and MS Bodleian 949’, Historia mathematica (2015).
• ‘Filling a gap in the history of π: an exciting discovery’, The Mathematical Intelligencer (2015).
• ‘Charles Hutton and the ‘Dissensions’ of 1783–84: Scientific networking and its failures’, Notes and Records of the Royal Society (2016).
• ‘The mathematics of Francis Willughby’ in Birkhead, Virtuoso by Nature: The Scientific Worlds of Francis Willughby (Brill, 2016).
• ‘Greek mathematics in English: The work of Sir Thomas L. Heath’, in Remmert, Schneider and Sørenson, Historiography of mathematics in the 19th and 20th centuries (Birkhäuser, 2016).
• ‘Charles Hutton: “One of the greatest mathematicians in Europe”?’, Bulletin of the British Society for the History of Mathematics (2017).
• Foreword for Nerida F. Ellerton and M.A. Clements, Samuel Pepys, Isaac Newton, James Hodgson and the Beginnings of Secondary School Mathematics: A History of the Royal Mathematical School Within Christ’s Hospital, London 1673–1868 (Springer, 2017).
• ‘The harmony of the spheres in English musical mathematics, 1650–1750’, in Prins and Vanhaelen, Sing Aloud Harmonious Spheres: Renaissance Conceptions of Cosmic Harmony (Routledge, 2017).
• ‘Marcus Meibom, mathematician: the De proportionibus dialogus (1655) and its responses’, in Studies on Marcus Meibom(Museum Tusculanum Press, 2020).
• ‘Defacing Euclid: Reading and annotating the Elements of Geometry in early modern Britain’, in Goeing, Early Modern Universities: Networks of Higher Learning  (Brill, 2020).
• ‘“The Admonitions of a Good-natured Reader”: How Georgians read mathematical textbooks’, in Beeley, Nasifoglu and Wardhaugh, Reading Mathematics in the Early Modern World (Routledge, 2020).
• ‘Rehearsing in the margins: mathematical print and mathematical learning’, in Jenkins, Palgrave Companion to Mathematics and Literature (Palgrave, 2021).
• ‘John Wallis’ [with Philip Beeley], in Wilson, Oxford’s Savilian Professors of Geometry: The first 400 years (Oxford, 2021).
• ‘Graphs in the 1680s: Martin Lister, Robert Plot, William Molyneux and John Warner’, British Journal for the History of Mathematics (2023).
• ‘Collection, use and dispersal: the library of Charles Hutton and the fate of Georgian mathematics’, in Beeley and Hollings, Beyond the Academy: The Practice of Mathematics, 1600–1850 (2023).
• ‘Euclidean terms in European languages, 1482–1703’, Historia Mathematica (2024).
• ‘François de Foix de Candalle: Euclidean authorship in the sixteenth century’, British Journal for the History of Mathematics (2024).
• ‘Euclid’s Elements in Latin, 1482–1703: Vocabulary and classification’, Revue d’histoire des mathématiques (2025).