Download or read book La pol mica sobre la invenci n del c lculo infinitesimal written by Isaac Newton and published by . This book was released on 2006 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Este libro trata de uno de los instrumentos conceptuales y analíticos más básicos y más importantes inventados por los humanos: el cálculo infinitesimal. Sin él, la historia de la ciencia -lo que en buena medida también quiere decir la historia de la humanidad- habría sido diferente. Sus inventores fueron dos gigantes de la ciencia: Isaac Newton (1642-1727) y Gottfried Wilhelm Leibniz (1646-1716), este último también una figura prominente en la historia de la filosofía. Ahora bien, el recuerdo de sus respectivas contribuciones está indisolublemente acompañado por la polémica que mantuvieron, ellos y sus seguidores, por atribuirse el mérito de la prioridad de su descubrimiento. Una polémica agria donde la haya, que muestra algunos rasgos de lo peor de la condición humana. Para que los lectores puedan hacerse una idea tanto del carácter de los dos protagonistas de este momento inolvidable de la historia de la ciencia, como de sus respectivas contribuciones a la invención del cálculo infinitesimal, al igual que del “espíritu” de la época en que vivieron, este volumen reproduce, fenomenalmente introducidos y anotados por Antonio Durán, los principales documentos que recogen los puntos de vista de Newton y Leibniz: el llamado account , de Newton, y la denominada Charta volans, junto a la Historia y norigen del cálculo difrencial, de Leibniz.
Download or read book Philosophers at War written by Alfred Rupert Hall and published by Cambridge University Press. This book was released on 2002-09-12 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: A blow-by-blow account of the celebrated controversy over the invention of the calculus.
Download or read book Monadologia written by Leibniz and published by Createspace Independent Publishing Platform. This book was released on 2017-12-22 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gottfried Leibniz fue uno de los grandes matematicos. Su gran descubrimiento es el Calculo Infinitesimal, que lo hizo paralelamente a Isaac Newton, que lo llamo Metodo de las Fluxiones. Fue un descubrimiento simultaneo en formas distintas y ademas las notaciones eran diferentes: la de Leibniz es la que ha prevalecido a lo largo de la historia en el Calculo Infinitesimal. Hay un concepto enormemente importante en el centro de la filosofia de Leibniz, el concepto de monada. Monada (sustancia) es una palabra griega que quiere decir unidad. Y llama monadas justamente a los componentes de la realidad. Los verdaderos atomos de la naturaleza. Son precisamente lo que llama sustancias indivisibles, que no tienen partes. Y, por tanto, no pueden proceder por agregacion, justamente porque no tienen partes, ni pueden desaparecer por disgregacion.
Download or read book The Claim of Leibnitz to the Invention of the Differential Calculus written by H Sloman and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of the controversy surrounding the invention of the differential calculus. It focuses on the claim of the German philosopher and mathematician Gottfried Wilhelm Leibniz, who maintained that he had invented the calculus independently of Sir Isaac Newton. The book discusses the historical and philosophical aspects of the dispute, and offers a critical evaluation of the evidence supporting Leibniz's claim. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Infinitesimal Differences written by Ursula Goldenbaum and published by de Gruyter. This book was released on 2008 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The development of the calculus during the 17th century was successful in mathematical practice, but raised questions about the nature of infinitesimals: were they real or rather fictitious? This collection of essays, by scholars from Canada, the US, Germany, United Kingdom and Switzerland, gives a comprehensive study of the controversies over the nature and status of the infinitesimal. Aside from Leibniz, the scholars considered are Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. The collection also contains newly discovered marginalia of Leibniz to the writings of Hobbes."--BOOK JACKET.
Download or read book Reading Newton in Early Modern Europe written by Elizabethanne A. Boran and published by BRILL. This book was released on 2017-06-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reading Newton in Early Modern Europe investigates how Sir Isaac Newton’s Principia was read, interpreted and remodelled for a variety of readerships in eighteenth-century Europe. The editors, Mordechai Feingold and Elizabethanne Boran, have brought together papers which explore how, when, where and why the Principia was appropriated by readers in Italy, Spain, the Netherlands, England and Ireland. Particular focus is laid on the methods of transmission of Newtonian ideas via university textbooks and popular works written for educated laymen and women. At the same time, challenges to the Newtonian consensus are explored by writers such as Marius Stan and Catherine Abou-Nemeh who examine Cartesian and Leibnizian responses to the Principia. Eighteenth-century attempts to remodel Newton as a heretic are explored by Feingold, while William R. Newman draws attention to vital new sources highlighting the importance of alchemy to Newton. Contributors are: Catherine Abou-Nemeh, Claudia Addabbo, Elizabethanne Boran, Steffen Ducheyne, Moredechai Feingold, Sarah Hutton, Juan Navarro-Loidi, William R. Newman, Luc Peterschmitt, Anna Marie Roos, Marius Stan, and Gerhard Wiesenfeldt.
Download or read book Infinite Powers written by Steven Strogatz and published by Mariner Books. This book was released on 2019 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the captivating story of mathematics' greatest ever idea: calculus. Without it, there would be no computers, no microwave ovens, no GPS, and no space travel. But before it gave modern man almost infinite powers, calculus was behind centuries of controversy, competition, and even death. Taking us on a thrilling journey through three millennia, professor Steven Strogatz charts the development of this seminal achievement from the days of Aristotle to today's million-dollar reward that awaits whoever cracks Reimann's hypothesis. Filled with idiosyncratic characters from Pythagoras to Euler, Infinite Powers is a compelling human drama that reveals the legacy of calculus on nearly every aspect of modern civilization, including science, politics, ethics, philosophy, and much besides.
Download or read book LEV written by and published by . This book was released on 1998 with total page 2142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Leibniz and the Structure of Sciences written by Vincenzo De Risi and published by Springer Nature. This book was released on 2020-01-01 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book offers a collection of essays on various aspects of Leibniz’s scientific thought, written by historians of science and world-leading experts on Leibniz. The essays deal with a vast array of topics on the exact sciences: Leibniz’s logic, mereology, the notion of infinity and cardinality, the foundations of geometry, the theory of curves and differential geometry, and finally dynamics and general epistemology. Several chapters attempt a reading of Leibniz’s scientific works through modern mathematical tools, and compare Leibniz’s results in these fields with 19th- and 20th-Century conceptions of them. All of them have special care in framing Leibniz’s work in historical context, and sometimes offer wider historical perspectives that go much beyond Leibniz’s researches. A special emphasis is given to effective mathematical practice rather than purely epistemological thought. The book is addressed to all scholars of the exact sciences who have an interest in historical research and Leibniz in particular, and may be useful to historians of mathematics, physics, and epistemology, mathematicians with historical interests, and philosophers of science at large.
Download or read book El cient fico espa ol ante su historia written by Sociedad Española de Historia de las Ciencias. Congreso and published by . This book was released on 1980 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Origins of Cauchy s Rigorous Calculus written by Judith V. Grabiner and published by Courier Corporation. This book was released on 2012-05-11 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text examines the reinterpretation of calculus by Augustin-Louis Cauchy and his peers in the 19th century. These intellectuals created a collection of well-defined theorems about limits, continuity, series, derivatives, and integrals. 1981 edition.
Download or read book From Indivisibles to Infinitesimals written by Antoni Malet and published by . This book was released on 1996 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Impossibility of Squaring the Circle in the 17th Century written by Davide Crippa and published by Springer. This book was released on 2019-03-06 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about James Gregory’s attempt to prove that the quadrature of the circle, the ellipse and the hyperbola cannot be found algebraically. Additonally, the subsequent debates that ensued between Gregory, Christiaan Huygens and G.W. Leibniz are presented and analyzed. These debates eventually culminated with the impossibility result that Leibniz appended to his unpublished treatise on the arithmetical quadrature of the circle. The author shows how the controversy around the possibility of solving the quadrature of the circle by certain means (algebraic curves) pointed to metamathematical issues, particularly to the completeness of algebra with respect to geometry. In other words, the question underlying the debate on the solvability of the circle-squaring problem may be thus phrased: can finite polynomial equations describe any geometrical quantity? As the study reveals, this question was central in the early days of calculus, when transcendental quantities and operations entered the stage. Undergraduate and graduate students in the history of science, in philosophy and in mathematics will find this book appealing as well as mathematicians and historians with broad interests in the history of mathematics.
Download or read book Leonhard Euler written by Robert E. Bradley and published by Elsevier. This book was released on 2007-03-20 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year 2007 marks the 300th anniversary of the birth of one of the Enlightenment's most important mathematicians and scientists, Leonhard Euler. This volume is a collection of 24 essays by some of the world's best Eulerian scholars from seven different countries about Euler, his life and his work. Some of the essays are historical, including much previously unknown information about Euler's life, his activities in the St. Petersburg Academy, the influence of the Russian Princess Dashkova, and Euler's philosophy. Others describe his influence on the subsequent growth of European mathematics and physics in the 19th century. Still others give technical details of Euler's innovations in probability, number theory, geometry, analysis, astronomy, mechanics and other fields of mathematics and science.- Over 20 essays by some of the best historians of mathematics and science, including Ronald Calinger, Peter Hoffmann, Curtis Wilson, Kim Plofker, Victor Katz, Ruediger Thiele, David Richeson, Robin Wilson, Ivor Grattan-Guinness and Karin Reich- New details of Euler's life in two essays, one by Ronald Calinger and one he co-authored with Elena Polyakhova- New information on Euler's work in differential geometry, series, mechanics, and other important topics including his influence in the early 19th century
Download or read book New Essays on Leibniz Reception written by Ralph Krömer and published by Springer Science & Business Media. This book was released on 2012-03-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.
Download or read book The Four Pillars of Geometry written by John Stillwell and published by Springer Science & Business Media. This book was released on 2005-08-09 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is unique in that it looks at geometry from 4 different viewpoints - Euclid-style axioms, linear algebra, projective geometry, and groups and their invariants Approach makes the subject accessible to readers of all mathematical tastes, from the visual to the algebraic Abundantly supplemented with figures and exercises
Download or read book Mathematics Mathematics Education Searching for Common Ground written by Michael N. Fried and published by Springer Science & Business Media. This book was released on 2013-11-29 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the fruit of a symposium in honor of Ted Eisenberg concerning the growing divide between the mathematics community and the mathematics education community, a divide that is clearly unhealthy for both. The work confronts this disturbing gap by considering the nature of the relationship between mathematics education and mathematics, and by examining areas of commonality as well as disagreement. It seeks to provide insight into the mutual benefit both stand to gain by building bridges based on the natural bonds between them.
