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Mathematics --- History --- geschiedenis --- wiskunde --- Mathematical analysis - History
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Mathematical analysis --- History --- Mathematical analysis - History - 20th century.
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This book deals with the development of the terms of analysis in the 18th and 19th centuries, the two main concepts being negative numbers and infinitesimals. Schubring studies often overlooked texts, in particular German and French textbooks, and reveals a much richer history than previously thought while throwing new light on major figures, such as Cauchy.
Mathematical analysis --- Numbers, Negative --- Calculus --- Mathematics --- History. --- Mathematical analysis - History - 18th century. --- Mathematical analysis - History - 19th century. --- Numbers, Negative - History. --- Calculus - History. --- Mathematics - France - History. --- Mathematics - Germany - History.
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Mathematical analysis --- Analyse mathématique --- History --- Histoire --- Analyse mathématique --- History. --- Mathematical analysis - History
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Cet ouvrage composé de cinq volumes est considéré comme une grande réussite dans la découverte des manuscrits scientifiques arabes. C'est une encyclopédie complète et bien pensée dans le domaine des «mathématiques analytiques». Dans ce travail, il convient de souligner l'affirmation de l'existence d'une école arabe initialement active et productive dans le domaine des mathématiques analytiques et techniques. L'auteur s'est donné beaucoup de mal pour trouver des documents sur les mathématiques de l'infiniment petit, écrites en arabe. Il a vérifié et expliqué les critiques. Il a également documenté le développement historique de la science à ses stades les plus avancés entre le troisième et le cinquième siècle de l’histoire (siècles IX et XI). Il identifie leurs érudits, notamment al-Ḥasan bin al-Haytham, l'érudit en mathématiques considéré comme un pionnier dans son domaine. Son travail a influencé ceux qui l'ont suivi dans le domaine de l'optique en particulier et de la physique en général. L'étude est caractérisée par une analyse objective, des dérivations mathématiques et une lecture correcte et logique des sources.
Mathematics, Arab --- Calculus --- Middle East --- Mathematical analysis --- History --- Mathematics, Arab - History --- Calculus - History --- Mathematical analysis - History
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What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern life that were made possible by analysis. From the reviews of the German edition: Three wishes granted at once: the book “3000 Jahre Analysis” is anything but a dry mixture of mathematical facts and formulae. Instead, it is a skillful blend of textbook, nonfiction, and history book rolled into one, which has been very vibrantly written. The author Thomas Sonar has managed to present the history of Analysis vividly, thrillingly, and full of intriguing details. Florian Modler, Spektrum der Wissenschaft The book [...] is simply wonderful. Everybody [...] picks up this book with a certain expectation, of course, and they won’t be disappointed! ... It is truly fun browsing the book. Peter Littelmann, Mitteilungen der DMV.
Mathematics. --- History. --- History of Mathematical Sciences. --- Annals --- Auxiliary sciences of history --- Math --- Science --- Mathematical analysis --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis - History
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Huygens, Christiaan --- Newton, Isaac --- Barrow, Isaac --- Mathematical analysis --- Mathematical physics --- History --- 544.273.4 --- #WBIB:dd.Lic.L.De Busschere --- Quasicrystalline model (physical chemistry) --- Physical mathematics --- Physics --- 517.1 Mathematical analysis --- Mathematics --- 517.1 --- 17th century --- Mathematical analysis - History - 17th century. --- Mathematical physics - History - 17th century. --- Mathematical analysis - History - 17th century --- Mathematical physics - History - 17th century
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Mathematical analysis --- Mathematics --- History --- 517 --- -Mathematics --- -Math --- Science --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Analysis --- -Mathematical analysis --- History. --- 517.1 Mathematical analysis --- 517 Analysis --- -517 --- -Analysis --- -517 Analysis --- Math --- 517.1 --- Mathematical analysis - History --- Mathematics - History - 19th century
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Mathematical analysis --- anno 1700-1799 --- anno 1800-1899 --- Analyse mathématique --- History --- Histoire --- -51 <09> --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- Mathematics--Geschiedenis van ... --- History. --- 51 <09> Mathematics--Geschiedenis van ... --- 517.1 Mathematical analysis --- Analyse mathématique --- 51 <09> --- Mathematics--Geschiedenis van .. --- 517.1 --- Mathematics--Geschiedenis van . --- Mathematics--Geschiedenis van --- Mathematical analysis - History --- Histoire des mathematiques --- Analyse mathematique --- History of science --- 18e siecle --- 19e siecle
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Mathematical analysis --- History --- -51 <09> --- Advanced calculus --- Analysis (Mathematics) --- Algebra --- -Sources --- Mathematics--Geschiedenis van ... --- 51 <09> Mathematics--Geschiedenis van ... --- 517.1 Mathematical analysis --- 51 <09> --- Mathematics--Geschiedenis van .. --- 517.1. --- 517.1 --- Mathematics--Geschiedenis van . --- Mathematics--Geschiedenis van --- Mathematical analysis - History - Sources --- Histoire des mathematiques --- Analyse mathematique --- 19e siecle --- Histoire
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