Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences - Volume 2

Front the Calculus to Set Theory traces the development of the calculus from the early seventeenth century through its expansion into mathematical analysis to the developments in set theory and the foundations of mathematics in the early twentieth century. It chronicles the work of mathematicians from Descartes and Newton to Russell and Hilbert and many, many others while emphasizing foundational questions and underlining the continuity of developments in higher mathematics. The other contributors to this volume are H.J.M. Bos, R. Bunn, J. W. Dauben, T. W. Hawkins, and K. Moller Pedersen.
"From the Calculus to Set Theory is a valuable reference for anyone with enough preparation in mathematics to read it." -Lenore Feigenbaum, Centaurus
"This book is a useful collection of articles... The history of the calculus provides a superb lesson in how mathematics develops." -Morris Kline, Isis
"I give a lot of lectures about the history of the calculus to the mathematical community and when I am asked about what they can read to learn more history, this is always one of the books that I mention. It really is a superb introduction to the field." -V. Frederick Rickey, United States Military Academy

From The Calculus To Set Theory 1630-1910. An Introductory History

Pierre-Simon Laplace was among the most influential scientists in history. Often referred to as the lawgiver of French science, he is known for his technical contributions to exact science and for the leading part he took in forming the modem discipline of mathematical physics. This book traces the development of Laplace's research program and of his participation in the Academy of Science during the last decades of the Old Regime into the early years of the French Revolution.

Pierre-Simon Laplace, 1749-1827. A Life In Exact Science

Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences - Volume 1

Il [géométrie non euclidienne] serait classé parmi les réalisations les plus célèbres de l'ensemble du [XIXe] siècle, mais jusqu'en 1860, l'intérêt était plutôt léger.

À partir du 3ème siècle, le christianisme orthodoxe, basé sur une histoire hébraïque et l'adoration du Juif Jésus, a également mené de nombreuses campagnes d'antisémitisme.

En outre, l'enseignement des théories des axiomes, ou une imitation étroite d'eux comme les lois fondamentales d'une algèbre, est généralement une catastrophe éducative.

Les calculs non newtoniens ... ont un potentiel considérable comme approches alternatives des problèmes traditionnels.

Les mathématiques sont l'un des types de connaissances les plus fondamentaux - et les plus anciens. Pourtant, les détails de son développement historique restent obscurs pour tous les spécialistes sauf quelques-uns.

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