The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts. This book contains the first translation from Russian into English of a selection of Wagner's papers, the ideas of which are connected to present-day mathematical research. Along with a translation of Wagner's main work in this area, his 1953 paper 'Theory of generalised heaps and generalised groups,' the book also includes translations of three short precursor articles that provide additional context for his major work. Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry. This book gives examples from present-day mathematics where ideas related to Wagner's have found fruitful applications.

The tremendous growth of the mathematical sciences in the early modern world was reflected contemporaneously in an increasingly sophisticated level of practical mathematics in fields such as merchants' accounts, instrument making, teaching, navigation, and gauging. In many ways, mathematics shaped the knowledge culture of the age, infiltrating workshops, dockyards, and warehouses, before extending through the factories of the Industrial Revolution to the trading companies and banks of the nineteenth century. While theoretical developments in the history of mathematics have been made the topic of numerous scholarly investigations, in many cases based around the work of key figures such as Descartes, Huygens, Leibniz, or Newton, practical mathematics, especially from the seventeenth century onwards, has been largely neglected. The present volume, comprising fifteen essays by leading authorities in the history of mathematics, seeks to fill this gap by exemplifying the richness, diversity, and breadth of mathematical practice from the seventeenth century through to the middle of the nineteenth century.

Established in the early seventeenth century following a bequest to the university by Sir William Sedley, Oxford's Sedleian Professorship of Natural Philosophy is one of the university's oldest professorships. In common with other such positions established around this time, such as the Savilian Professorships of Geometry and Astronomy, for example, its purpose was to provide centrally organised lectures on a specific subject. While the Professorship is now a high-profile research post in applied mathematics, it has previously been held by physicians, an astronomer, and several people in the eighteenth century whose credentials in natural philosophy are much less clear. This edited volume traces the varied history of the chair through the first four centuries of its existence, combining specialised contributions from historians of medicine, of science, of mathematics, and of universities, together with personal reminiscences of some of the more recent holders of the post.

Satisfying as Your Favorite Chocolate, Without the Calories Using the original Willy Wonka & the Chocolate Factory movie as a metaphorical backdrop, Life Lessons from the Chocolate Factory unwraps bite-sized nuggets of "zero calorie wisdom" that are as relevant today as any other time. Whether or not you have seen the movie, this book reveals the simple, yet timeless lessons we can all embrace to help get hold of life's real golden ticket-lasting peace of mind.