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The Newton Wars & the Beginning of the French Enlightenment
Nothing is considered more natural than the connection between Isaac Newton’s science and the modernity that came into being during the eighteenth-century Enlightenment. Terms like “Newtonianism” are routinely taken as synonyms for “Enlightenment” and “modern” thought, yet the particular conjunction of these terms has a history full of accidents and contingencies. Modern physics, for example, was not the determined result of the rational unfolding of Newton’s scientific work in the eighteenth century, nor was the Enlightenment the natural and inevitable consequence of Newton’s eighteenth-century reception. Each of these outcomes, in fact, was a contingent event produced by ...
Statisticians of the Centuries
Written by leading statisticians and probabilists, this volume consists of 104 biographical articles on eminent contributors to statistical and probabilistic ideas born prior to the 20th Century. Among the statisticians covered are Fermat, Pascal, Huygens, Neumann, Bernoulli, Bayes, Laplace, Legendre, Gauss, Poisson, Pareto, Markov, Bachelier, Borel, and many more.
Minerva's French Sisters
A fascinating collective biography of six female scientists in eighteenth-century France, whose stories were largely written out of history "Of the 72 scientific names engraved on the Eiffel Tower, none is female. Omissions include the six Enlightenment women dubbed 'Minerva's sisters' by historian Nina Gelbart in her pioneering, evocative rescue."--Nature This book presents the stories of six intrepid Frenchwomen of science in the Enlightenment whose accomplishments--though celebrated in their lifetimes--have been generally omitted from subsequent studies of their period: mathematician and philosopher Elisabeth Ferrand, astronomer Nicole Reine Lepaute, field naturalist Jeanne Barret, garden...
The Art of Conjecturing, Together with Letter to a Friend on Sets in Court Tennis
"Part I reprints and reworks Huygens's On Reckoning in Games of Chance. Part II offers a thorough treatment of the mathematics of combinations and permutations, including the numbers since known as "Bernoulli numbers." In Part III, Bernoulli solves more complicated problems of games of chance using that mathematics. In the final part, Bernoulli's crowning achievement in mathematical probability becomes manifest he applies the mathematics of games of chance to the problems of epistemic probability in civil, moral, and economic matters, proving what we now know as the weak law of large numbers."
The Problem of the Earth's Shape from Newton to Clairaut
This book investigates, through the problem of the earth's shape, part of the development of post-Newtonian mechanics by the Parisian scientific community during the first half of the eighteenth century. In the Principia Newton first raised the question of the earth's shape. John Greenberg shows how continental scholars outside France influenced efforts in Paris to solve the problem, and he also demonstrates that Parisian scholars, including Bouguer and Fontaine, did work that Alexis-Claude Clairaut used in developing his mature theory of the earth's shape. The evolution of Parisian mechanics proved not to be the replacement of a Cartesian paradigm by a Newtonian one, a replacement that migh...
Abraham De Moivre
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.
Classic Works of the Dempster-Shafer Theory of Belief Functions
This is a collection of classic research papers on the Dempster-Shafer theory of belief functions. The book is the authoritative reference in the field of evidential reasoning and an important archival reference in a wide range of areas including uncertainty reasoning in artificial intelligence and decision making in economics, engineering, and management. The book includes a foreword reflecting the development of the theory in the last forty years.
