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Book
3000 Years of Analysis
Authors: ---
ISBN: 9783030582234 9783030582227 9783030582210 3030582213 Year: 2021 Publisher: Cham Springer International Publishing :Imprint: Birkhäuser

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Mathematical analysis during the 20th century
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ISBN: 0198503946 9780198503941 Year: 2001 Publisher: Oxford : Oxford university press,

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Conflicts between generalization, rigor, and intuition : number concepts underlying the development of analysis in 17th-19th century France and Germany
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ISBN: 0387228365 9780387228365 1441919872 9786610611973 1280611979 0387282734 Year: 2005 Publisher: New York (N.Y.) : Springer,

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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.

A history of analysis
Author:
ISBN: 9780821826232 0821826239 Year: 2003 Volume: 24 Publisher: Providence: American mathematical society,

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Book
Les mathématiques infinitésimales du IXe au XIe siècle
Author:
ISBN: 1873992181 1873992076 1873992599 1873992602 1905122098 9781873992180 9781873992074 9781873992593 9781873992609 9781905122097 Year: 1993 Publisher: London Al-Furqān Islamic Heritage Foundation

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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.


Book
3000 years of analysis : mathematics in history and culture
Authors: --- ---
ISBN: 303058223X 3030582213 9783030582210 Year: 2021 Publisher: Cham, Switzerland : Birkhäuser,

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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.

Huygens and Barrow, Newton and Hooke : pioneers in mathematical analysis and catastrophe theory from evolvents to quasicrystals
Authors: ---
ISBN: 3764323833 0817623833 3034891296 9783764323837 Year: 1990 Publisher: Basel ; Boston ; Berlin Birkhäuser Verlag

The higher calculus : a history of real and complex analysis from Euler to Weierstrass
Authors: ---
ISBN: 0387963022 9780387963020 Year: 1986 Publisher: New York (N.Y.): Springer


Book
The development of the foundations of mathematical analysis from Euler to Riemann
Author:
ISBN: 0262070340 9780262070348 Year: 1970 Publisher: Cambridge (MA) : The MIT Press,


Book
A source book in classical analysis
Authors: ---
ISBN: 0674822455 9780674822450 Year: 1973 Publisher: Cambridge (MA) : Harvard University Press,

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