Lhopitals Analyse Des Infiniments Petits
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| Author | : Robert E Bradley |
| Publisher | : Birkhäuser |
| Total Pages | : 357 |
| Release | : 2015-07-20 |
| Genre | : Mathematics |
| ISBN | : 3319171151 |
This monograph is an annotated translation of what is considered to be the world’s first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l’Hôpital in 1691-2 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli’s lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli’s notes, in Latin, to l’Hôpital’s text in French. The similarities are remarkable, but there is also much in l’Hôpital’s book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l’Hôpital’s text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l’Hôpital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli’s ideas and l’Hôpital’s innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l’Hôpital and his teacher, Johann Bernoulli.
| Author | : Robert E. Bradley |
| Publisher | : |
| Total Pages | : |
| Release | : 2015 |
| Genre | : |
| ISBN | : 9783319171166 |
This monograph is an annotated translation of what is considered to be the world's first calculus textbook, originally published in French in 1696. That anonymously published textbook on differential calculus was based on lectures given to the Marquis de l'Hôpital in 1691-2 by the great Swiss mathematician, Johann Bernoulli. In the 1920s, a copy of Bernoulli's lecture notes was discovered in a library in Basel, which presented the opportunity to compare Bernoulli's notes, in Latin, to l'Hôpital's text in French. The similarities are remarkable, but there is also much in l'Hôpital's book that is original and innovative. This book offers the first English translation of Bernoulli's notes, along with the first faithful English translation of l'Hôpital's text, complete with annotations and commentary. Additionally, a significant portion of the correspondence between l'Hôpital and Bernoulli has been included, also for the fi rst time in English translation. This translation will provide students and researchers with direct access to Bernoulli's ideas and l'Hôpital's innovations. Both enthusiasts and scholars of the history of science and the history of mathematics will fi nd food for thought in the texts and notes of the Marquis de l'Hôpital and his teacher, Johann Bernoulli.
| Author | : Robert E. Bradley |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 416 |
| Release | : 2010-01-14 |
| Genre | : Mathematics |
| ISBN | : 1441905499 |
In 1821, Augustin-Louis Cauchy (1789-1857) published a textbook, the Cours d’analyse, to accompany his course in analysis at the Ecole Polytechnique. It is one of the most influential mathematics books ever written. Not only did Cauchy provide a workable definition of limits and a means to make them the basis of a rigorous theory of calculus, but he also revitalized the idea that all mathematics could be set on such rigorous foundations. Today, the quality of a work of mathematics is judged in part on the quality of its rigor, and this standard is largely due to the transformation brought about by Cauchy and the Cours d’analyse. For this translation, the authors have also added commentary, notes, references, and an index.
| Author | : Eduardo Noble |
| Publisher | : Springer Nature |
| Total Pages | : 424 |
| Release | : 2022-05-30 |
| Genre | : Mathematics |
| ISBN | : 3030938204 |
This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.
| Author | : Paolo Mancosu |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 290 |
| Release | : 1999 |
| Genre | : Matematik |
| ISBN | : 0195132440 |
1. Philosophy of Mathematics and Mathematical Practice in the Early Seventeenth Century p. 8 1.1 The Quaestio de Certitudine Mathematicarum p. 10 1.2 The Quaestio in the Seventeenth Century p. 15 1.3 The Quaestio and Mathematical Practice p. 24 2. Cavalieri's Geometry of Indivisibles and Guldin's Centers of Gravity p. 34 2.1 Magnitudes, Ratios, and the Method of Exhaustion p. 35 2.2 Cavalieri's Two Methods of Indivisibles p. 38 2.3 Guldin's Objections to Cavalieri's Geometry of Indivisibles p. 50 2.4 Guldin's Centrobaryca and Cavalieri's Objections p. 56 3. Descartes' Geometrie p. 65 3.1 Descartes' Geometrie p. 65 3.2 The Algebraization of Mathematics p. 84 4. The Problem of Continuity p. 92 4.1 Motion and Genetic Definitions p. 94 4.2 The "Causal" Theories in Arnauld and Bolzano p. 100 4.3 Proofs by Contradiction from Kant to the Present p. 105 5. Paradoxes of the Infinite p. 118 5.1 Indivisibles and Infinitely Small Quantities p. 119 5.2 The Infinitely Large p. 129 6. Leibniz's Differential Calculus and Its Opponents p. 150 6.1 Leibniz's Nova Methodus and L'Hopital's Analyse des Infiniment Petits p. 151 6.2 Early Debates with Cluver and Nieuwentijt p. 156 6.3 The Foundational Debate in the Paris Academy of Sciences p. 165 Appendix Giuseppe Biancani's De Mathematicarum Natura p. 178 Notes p. 213 References p. 249 Index p. 267.
| Author | : Michael Kinyon |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 366 |
| Release | : 2006-06-18 |
| Genre | : Mathematics |
| ISBN | : 0387282726 |
The Kenneth May Lectures have never before been published in book form Important contributions to the history of mathematics by well-known historians of science Should appeal to a wide audience due to its subject area and accessibility
| Author | : Henry Sotheran Ltd |
| Publisher | : |
| Total Pages | : 866 |
| Release | : 1922 |
| Genre | : Booksellers' catalogs |
| ISBN | : |
| Author | : Henry Sotheran Ltd |
| Publisher | : |
| Total Pages | : 610 |
| Release | : 1909 |
| Genre | : |
| ISBN | : |
| Author | : James Stewart |
| Publisher | : Cengage Learning |
| Total Pages | : 968 |
| Release | : 2006-03 |
| Genre | : Mathematics |
| ISBN | : |
Stewart's SINGLE VARIABLE CALCULUS WITH VECTOR FUNCTIONS has the mathematical precision, accuracy, clarity of exposition and outstanding examples and problem sets that characterized all of James Stewart�s texts. In this new text, Stewart focuses on problem solving, using the pedagogical system that has worked so well for students in a wide variety of academic settings throughout the world.
| Author | : Niccol- Guicciardini |
| Publisher | : Cambridge University Press |
| Total Pages | : 246 |
| Release | : 2003-11-13 |
| Genre | : History |
| ISBN | : 9780521524841 |
This book examines how calculus developed in Britain during the century following Newton.
