Many historians of insurance have commented on the disconnect between the rise of English life insurance companies in the early eighteenth century and the mathematics behind the sound pricing of life insurance products that was developed at about the same time. Insurance and annuity promoters typically ignored this mathematical work. Bellhouse explores this issue, and shows that the early mathematical work was not motivated by insurance but instead by the fair valuation of life contingent contracts related to property. Even the work of the mathematician James Dodson in the creation of the Equitable Life Assurance Society, offering sound actuarially based premiums, did not change the industry in any significant way. The tipping point was a crisis in 1770 in which the philosopher and mathematician Richard Price, as well as other mathematicians, showed that a dozen or more recently formed annuity societies could not meet their financial obligations and were inviable.

Practical Table Series, No. 8: Compound Interest Functions focuses on compound interest tables that are applied to mathematical problems concerned with loans, annuities, mortgages, leases, and different forms of investment. This book provides the compound interest functions on 1/16 to 2 7/16 per cent at interval 1/16 per cent; 2 1⁄2 to 4 7/8 per cent at interval 1/8 per cent; and 5 to 10 per cent at interval 1/4 per cent. The tables on i/i(p)and force of interest d, and 10-figure logarithms are also included. The rest of this publication's content are devoted to notes on the mathematics of compound interest, providing guidance through the mathematical complexities of the more elementary parts of this subject. Some of the topics discussed include the definitions; effective and nominal rate of interest; present value and compound discount; continuous conversion of interest; annuities–definitions and symbols; interpolation using second differences; yield on a bond; and short history of tables of compound interest. This text is a good source to students, as well as individuals who have not had the opportunity to study the theory on compound interest functions.

William Petty (1623-1687) was a key figure in the English colonization of Ireland, the institutionalization of experimental natural philosophy, and the creation of social science. Examining Petty's intellectual development and his invention of 'political arithmetic' against the backdrop of the European scientific revolution and the political upheavals of Interregnum and Restoration England and Ireland, this book provides the first comprehensive intellectual biography of Petty based on a thorough examination not only of printed sources but also of Petty's extensive archive and pattern of manuscript circulation. It is also the first fully contextualized study of what political arithmetic - widely seen as an ancestor of modern social and economic analysis - was originally intended to do. Ted McCormick traces Petty's education among French Jesuits and Dutch Cartesians, his early work with the 'Hartlib Circle' of Baconian natural philosophers, inventors, and reformers in England, his involvement in the Cromwellian conquest and settlement of Ireland, and his engagement with both science and the politics of religion in the Restoration. He argues that Petty's crowning achivement, political arithmetic, was less a new way of analysing economy or society than a new 'instrument of government' that applied elements of the new science - a mechanical worldview, a corpuscularian theory of matter, and a Baconian stress on empirical method and the transformative purposes of natural philosophy - to the creation of industrious and loyal populations. Finally, he examines the transformation Petty's program of social engineering, after his death, into an apparently apolitical form of statistical reasoning.

Extensively researched, this book traces the life and work of Abraham De Moivre as well as the state of probability and statistics in eighteenth-century Britain. It is the first extensive biography of De Moivre and is based on recently discovered material and translations, including some of De Moivre’s letters. The book begins with discussions on De Moivre’s early life in France and his initial work in pure mathematics with some excursions into celestial mechanics. It then describes his fundamental contributions to probability theory and applications, including those in finance and actuarial science. The author explores how De Moivre’s wide network of personal and professional connections often motivated his research. The book also covers De Moivre’s contemporaries and his impact on the field. Written in a clear, approachable style, this biography will appeal to historians and practitioners of the art of probability and statistics in a wide range of applications, including finance and actuarial science.

In 1713, soon after publication of the Spectator had come to an end, its place on breakfast tables of Queen Anne's London was taken by the Guardian. Richard Steele, continuing in the new paper the blend of learning, wit, and moral instruction that had proved so attractive in the Tatler and Spectator, was the editor and principal writer; in the 175 numbers of the Guardian he included 53 essays by Joseph Addison, as well as contributions by Alexander Pope, George Berkeley, and several others, some of whom doubtless transmitted their papers through the famous lion's head letterbox that Addison had erected in Button's coffeehouse. "These papers," as John C. Stephens writes in the introduction to his edition of the Guardian, "helped to form and to shape the morals and manners of countless generations in Britain and abroad." This first modern edition of the Guardian was prepared from the original printing of the papers, is fully annotated and indexed, and includes a comprehensive introduction discussing especially the authorship of the individual essays.