J. V. Field - Böcker

Renaissance craftsmen, such as painters, were educated in `practical mathematics'. This book tells us the fascintating story of how the artisan tradition made important contributions not only to art but also to `proper' mathematics. Beautiful works of art and famous theorems are linked together in a way that leads to a clearer understanding and greater enjoyment of both.Covering roughly the period from 1300 to 1650, the author shows how, during this time, a new form of geometry - projective geometry - emerged in the context of the artists' mathematics of perspective. Stories of taking measurements while balanced on scaffolding are interspersed with delightful scholarly analyses of the mathematics of great works of art. The text is beautifully illustrated throughout with both photographs and drawings.

This book is an edition of the General Report on Tunny with commentary that clarifies the often difficult language of the GRT and fitting it into a variety of contexts arising out of several separate but intersecting story lines, some only implicit in the GRT.  Explores the likely roots of the ideas entering into the Tunny cryptanalysisIncludes examples of original worksheets, and printouts of the Tunny-breaking process in actionPresents additional commentary, biographies, glossaries, essays, and bibliographies

Renaissance and Revolution is a collection of fifteen essays which opens up alternative perspectives on some of the problems seen to be associated with the Scientific Revolution of the sixteenth and seventeenth centuries. The topics treated include the dissemination of Greek science, medical empiricism, natural history, the relations of scholars and craftsmen in various walks of life from the fifteenth to the sixteenth centuries, the so-called 'mechanical philosophy' in France and England, the work of Isaac Newton, and the difficulties encountered by proponents of Newtonianism in Italy in the early eighteenth century. Figures discussed include Leonardo Fioravanti, Jan Swammerdam, Piero Della Francesca, Johannes Hevelius, Jonas Moore, Robert Boyle, Isaac Newton, Christiaan Huygens, Francesco Algarotti, and Luigi Ferdinando Marsigli. There is an introduction by the editors and an afterword by A. Rupert Hall.

Our main purpose in this book is to present an English translation of Desargues' Rough Draft of an Essay on the results of taking plane sections of a cone (1639), the pamphlet with which the modem study of projective geometry began. Despite its acknowledged importance in the history of mathematics, the work has never been translated before in its entirety, although short extracts have appeared in several source books. The problems of making Desargues' work accessible to modem mathematicians and historians of mathematics have led us to provide a fairly elaborate introduction, and to include translations of other relevant works. The translation ofthe Rough Draft on Conics (as we shall call it) thus appears in Chapter VI, the five preceding chapters forming an introduction and the three following ones giving translations of other works by Desargues. Chapter I briefly reviews parts of ancient geometrical works available to Desargues which seem to be relevant to his own work, namely theorems in Euclid's Elements, the first four books of Apollonius' Conics and some remarks by Pappus in his Collection. These Hellenistic works belong to the 'high' mathematical tradition whose development has been the main theme of all histories of mathematics. It is from these works that Desargues took the theorems whose theory he was to reformulate in the Rough Draft on Conics.

Kepler is a key figure in the development of modern astronomy. His work is also important in the history of philosophy and methodology of science as a whole. The present study is concerned with one of Kepler’s major preoccupations, namely his search for the geometrical plan according to which God created the Universe. The author discusses how Kepler’s cosmological theories, which embrace music and astrology as well as astronomy, are related to his other work. The subject will be of great interest to historians of science, mathematicians and astronomers as well as to historians of the late Renaissance.