Tangled Origins Of The Leibnizian Calculus The A Case Study Of A Mathematical Revolution
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Tangled Origins Of The Leibnizian Calculus The A Case Study Of A Mathematical Revolution
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Author : Richard C Brown
language : en
Publisher: World Scientific
Release Date : 2012-03-23
Tangled Origins Of The Leibnizian Calculus The A Case Study Of A Mathematical Revolution written by Richard C Brown and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-23 with Mathematics categories.
This book is a detailed study of Gottfried Wilhelm Leibniz's creation of calculus from 1673 to the 1680s. We examine and analyze the mathematics in several of his early manuscripts as well as various articles published in the Acta Eruditorum. It studies some of the other lesser known “calculi” Leibniz created such as the Analysis Situs, delves into aspects of his logic, and gives an overview of his efforts to construct a Universal Characteristic, a goal that has its distant origin in the Ars Magna of the 13th century Catalan philosopher Raymond Llull, whose work enjoyed a renewed popularity in the century and a half prior to Leibniz.This book also touches upon a new look at the priority controversy with Newton and a Kuhnian interpretation of the nature of mathematical change. This book may be the only integrated treatment based on recent research and should be a thought-provoking contribution to the history of mathematics for scholars and students, interested in either Leibniz's mathematical achievement or general issues in the field.
The Tangled Origins Of The Leibnizian Calculus
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Author : Richard C. Brown
language : en
Publisher: World Scientific
Release Date : 2012
The Tangled Origins Of The Leibnizian Calculus written by Richard C. Brown and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
1. Evolution or revolution in mathematics -- 2. Issues in seventeenth century mathematics -- 3. Isaac Barrow: a foil to Leibniz -- 4. A young central European polymath -- 5. First steps in mathematics -- 6. The creation of calculus -- 7. Logic -- 8. The universal characteristic -- 9. The baroque cultural context -- 10. Epilogue -- 11. Some concluding remarks on mathematical change -- Appendices.
Leibniz S Correspondence In Science Technology And Medicine 1676 1701
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Author : James O'Hara
language : en
Publisher: BRILL
Release Date : 2024-07-29
Leibniz S Correspondence In Science Technology And Medicine 1676 1701 written by James O'Hara and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-07-29 with Science categories.
Leibniz’s correspondence from his years spent in Paris (1672-1676) reflects his growth to mathematical maturity whereas that from the years 1676-1701 reveals his growth to maturity in science, technology and medicine in the course of which more than 2000 letters were exchanged with more than 200 correspondents. The remaining years until his death in 1716 witnessed above all the appearance of his major philosophical works. The focus of the present work is Leibniz's middle period and the core themes and core texts from his multilingual correspondence are presented in English from the following subject areas: mathematics, natural philosophy, physics (and cosmology), power technology (including mining and transport), engineering and engineering science, projects (scientific, technological and economic projects), alchemy and chemistry, geology, biology and medicine.
Transcendental Curves In The Leibnizian Calculus
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Author : Viktor Blasjo
language : en
Publisher: Academic Press
Release Date : 2017-04-22
Transcendental Curves In The Leibnizian Calculus written by Viktor Blasjo and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-22 with Mathematics categories.
Transcendental Curves in the Leibnizian Calculus analyzes a mathematical and philosophical conflict between classical and early modern mathematics. In the late 17th century, mathematics was at the brink of an identity crisis. For millennia, mathematical meaning and ontology had been anchored in geometrical constructions, as epitomized by Euclid's ruler and compass. As late as 1637, Descartes had placed himself squarely in this tradition when he justified his new technique of identifying curves with equations by means of certain curve-tracing instruments, thereby bringing together the ancient constructive tradition and modern algebraic methods in a satisfying marriage. But rapid advances in the new fields of infinitesimal calculus and mathematical mechanics soon ruined his grand synthesis. Descartes's scheme left out transcendental curves, i.e. curves with no polynomial equation, but in the course of these subsequent developments such curves emerged as indispensable. It was becoming harder and harder to juggle cutting-edge mathematics and ancient conceptions of its foundations at the same time, yet leading mathematicians, such as Leibniz felt compelled to do precisely this. The new mathematics fit more naturally an analytical conception of curves than a construction-based one, yet no one wanted to betray the latter, as this was seen as virtually tantamount to stop doing mathematics altogether. The credibility and authority of mathematics depended on it. - Brings to light this underlying and often implicit complex of concerns that permeate early calculus - Evaluates the technical conception and mathematical construction of the geometrical method - Reveals a previously unrecognized Liebnizian programmatic cohesion in early calculus - Provides a beautifully written work of outstanding original scholarship
Benjamin Deleuze And The Baroque
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Author : Noa Levin
language : en
Publisher: Bloomsbury Publishing
Release Date : 2025-02-06
Benjamin Deleuze And The Baroque written by Noa Levin and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-06 with Philosophy categories.
For Walter Benjamin and Gilles Deleuze, who both authored seminal theoretical works on early cinema and photography, the history of modern media begins much earlier, in Baroque culture and science. Benjamin, Deleuze and the Baroque argues that their media theories were informed by their respective readings of the philosophy and mathematics of G.W. Leibniz, and the Baroque can thus be seen as the locus of modern media. By critically comparing Benjamin and Deleuze's interpretations of the Baroque, Levin demonstrates the extent to which their theories of visual culture are intertwined with critiques of Enlightenment historiography and politics. Using a hermeneutic comparative approach, this book argues that the juxtaposition of Benjamin's reception of Leibniz with Deleuze's highlights the extent to which both authors' theories of image and media were informed by Leibniz's concepts of expression and perspectivism, themselves inspired by ground-breaking evolutions in optics and perspective. Providing close readings of Deleuze's The Fold and Benjamin's Origin of the German Trauerspiel, which remain understudied in the English language, it explores how, in their dual roles of philosopher and cultural critic, the pair may illuminate our own age of multiple crises through the Baroque.
Monadological Intimacy
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Author : Jeff Lambert
language : en
Publisher: Rowman & Littlefield
Release Date : 2024-08-15
Monadological Intimacy written by Jeff Lambert and has been published by Rowman & Littlefield this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-15 with Philosophy categories.
Monadological Intimacy: The Relational Operation of Folds in Leibniz and Deleuze analyzes and explains G.W. Leibniz’s theories of folds and relations to claim there is a common operation of inclusion inherent to both theories, an operation that produces a uniquely monadic form of intimacy. Utilizing key insights from Gilles Deleuze’s The Fold: Leibniz and the Baroque, Jeff Lambert considers the role of what is “virtual” and “ideal” for Leibniz in his theory of relations. However, Deleuze’s interpretation is not without flaws, and this book proposes an understanding of the operations of inclusion that is quite different from the view given by Deleuze in The Fold. Specifically, Lambert contends that relational inclusion has four primary “orders” that coincide with the four types of relations found across Leibniz’s oeuvre: complexion, comparison, congruence, and concurrence. Throughout each order of relations, different forms of interconnection play out through an intimate and immediate representation of the universe. Monadological Intimacy argues that the intimate and immediate representation of the universe within each monad utilizes the same operation of inclusion at work in how Leibniz describes the ideal continuum in each distinct fold of motion.
Newton And Modern Physics
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Author : Peter Rowlands
language : en
Publisher: World Scientific
Release Date : 2017-08-07
Newton And Modern Physics written by Peter Rowlands and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-07 with Science categories.
This book looks at how Newton's theories can be linked to modern day problems and solutions in physics. Newton created an abstract system of theorizing which has been applied to all aspects of the physical world, however he had difficulties in persuading his contemporaries of its unique merits. A detailed study of Newton's writings, published and unpublished, suggests that he had an almost archetypally powerful mode of thinking guaranteed to produce 'correct' results even in areas of physics where systematic study only began long after his time. Newton and Modern Physics investigates this phenomenon, looking at examples of where Newton's principles have relevance to modern day thinking — the study of Newton's work in both seventeenth century and present-day contexts helps to enhance our understanding of both.
Newton Innovation And Controversy
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Author : Peter Rowlands
language : en
Publisher: World Scientific
Release Date : 2017-11-10
Newton Innovation And Controversy written by Peter Rowlands and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-10 with Science categories.
Unique among celebrated scientists, Newton was equally gifted at theoretical physics, experimental physics and pure mathematics. He was also exceptional in another, less well-recognised sense. No one has come near to equalling his extraordinary analytical power.Analytically-derived truths are controversial because such truths can only be established by extended experimental verification or by their success in generating further truths by systematic development. While Newton's optics was ultimately established by the first method and his theory of gravity by the second, much of his work on other subjects, though equally powerful and innovative, has never been totally established as part of this analytical context. This book discusses why the innovations matter today and why they were, and sometimes still are, controversial.
The Dawn Of Science
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Author : Thanu Padmanabhan
language : en
Publisher: Springer
Release Date : 2019-04-23
The Dawn Of Science written by Thanu Padmanabhan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-23 with Science categories.
This lucid and captivating book takes the reader back to the early history of all the sciences, starting from antiquity and ending roughly at the time of Newton — covering the period which can legitimately be called the “dawn” of the sciences. Each of the 24 chapters focuses on a particular and significant development in the evolution of science, and is connected in a coherent way to the others to yield a smooth, continuous narrative. The at-a-glance diagrams showing the “When” and “Where” give a brief summary of what was happening at the time, thereby providing the broader context of the scientific events highlighted in that chapter. Embellished with colourful photographs and illustrations, and “boxed” highlights scattered throughout the text, this book is a must-read for everyone interested in the history of science, and how it shaped our world today.
Komplexit T Und Einfachheit
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Author : Albrecht Koschorke
language : de
Publisher: Springer-Verlag
Release Date : 2017-07-13
Komplexit T Und Einfachheit written by Albrecht Koschorke and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-13 with Literary Criticism categories.
Worin besteht die Komplexität poetischer Produktionen? Der Band versammelt Positionen aus den Philologien, der Kunstgeschichte, Rechtswissenschaft, Stadtplanung und Informatik. Er widmet sich einer in den Kulturwissenschaften häufig verwendeten, aber schwach profilierten Kategorie und bietet vielfache Anstöße, um Prozesse der Formgebung, die Rolle von Gattungen und die Funktionsweise historisierender Ordnungsverfahren neu zu durchdenken. - Wie verhalten sich ästhetische zu anderen Erscheinungsweisen von Komplexität? Was unterscheidet komplexe und einfache Texte, Artefakte, kulturelle Semantiken voneinander und woran bemisst sich diese Unterscheidung? Wie lässt sich ein übergreifendes Vokabular entwickeln, das Komplexität nicht allein der Moderne vorbehält und das Komplexe als das angeblich Neue gegenüber dem Einfachen als dem angeblich Älteren privilegiert?