Dr%20Benjamin%20Wardhaugh: List of publications

This book contains all the letters that are known to survive from the correspondence of Charles Hutton (1737-1823).

© 2013 Benjamin Wardhaugh. All Rights Reserved. This is the second volume in a two-part set on the writings of Thomas Salmon. Salmon (1647-1706) is remembered today for the fury with which Matthew Locke greeted his first foray into musical writing, the Essay to the Advancement of Musick (1672), and the near-farcical level to which the subsequent pamphlet dispute quickly descended. Salmon proposed a radical reform of musical notation, involving a new set of clefs which he claimed, and Locke denied, would make learning and performing music much easier (these writings are the subject of Volume I). Later in his life Salmon devoted his attention to an exploration of the possible reform of musical pitch. He made or renewed contact with instrument-makers and performers in London, with the mathematician John Wallis, with Isaac Newton and with the Royal Society of London through its Secretary Hans Sloane. A series of manuscript treatises and a published Proposal to Perform Musick, in Perfect and Mathematical Proportions (1688) paved the way for an appearance by Salmon at the Royal Society in 1705, when he provided a demonstration performance by professional musicians using instruments specially modified to his designs. This created an explicit overlap between the spaces of musical performance and of experimental performance, as well as raising questions about the meaning and the source of musical knowledge similar to those raised in his work on notation. Benjamin Wardhaugh presents the first published scholarly edition of Salmon's writings on pitch, previously only available mostly in manuscript.

© Springer International Publishing Switzerland 2016. This short note provides some basic information about the life and work of Sir Thomas Little Heath (1861–1940), the author of well-known English versions of ancient Greek mathematical works. It suggests some of the questions which a study of Heath might ask, and provides brief illustrations of some ways in which his work might be situated intellectually and biographically.

... which is fitted with a peculiar power for their reception. * Running head: The Advantages of Mnsick. He that hath any one sense good, is capable of Thomas Salmon, An Essay to the Advancement of Musick (1672) 55.

The writing of mathematical histories has a long history, one which has seldom received scholarly attention. Mathematical history, and mathematical biography, raise distinctive issues of method and approach to which different periods have responded in different ways. At a time of increasing interest in the history of mathematics, this book attempts to show something of the trajectory that history has taken in the past. It presents seven case studies illustrating the different ways that mathematical histories have been written since the seventeenth century, ranging from the 'historia' of John Wallis to the recent re-presentation of Thomas Harriot's manuscripts online. It considers both the ways that individual reputations and biographies have been shaped differently in different circumstances, and the ways that the discipline of mathematics has itself been variously presented through the writing of its history.

This essay represents a first attempt to make sense of the mass of early modern English publications that deal with or refer to mathematics, using a bibliometric approach made possible by the new electronic databases: Early English books online and Eighteenth-century collections online. I present statistical information about references to mathematics in this corpus of books, perform some statistical analysis of the trends that the data show, comment on the methodological problems raised, and assess what these results do and do not tell us about early modern English discussion of mathematics. © 2009 The Royal Society.