Leibniz On The Foundations Of The Differential Calculus
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Leibniz On The Foundations Of The Differential Calculus
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Author : Richard T. W. Arthur
language : en
Publisher: Springer Nature
Release Date : 2025-03-05
Leibniz On The Foundations Of The Differential Calculus written by Richard T. W. Arthur and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-05 with Mathematics categories.
This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus. Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s. The essay concludes with an analysis of Leibniz’s defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.
The Early Mathematical Manuscripts Of Leibniz
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Author : G. W. Leibniz
language : en
Publisher: Courier Corporation
Release Date : 2012-12-06
The Early Mathematical Manuscripts Of Leibniz written by G. W. Leibniz and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Leibniz's own accounts of his work, plus critical and historical notes and essays, include his "Historia et Origio Calculi Differentialis," manuscripts of the period 1673-77, and essays by C. I. Gerhardt.
The Bloomsbury Dictionary Of Eighteenth Century German Philosophers
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Author : Heiner F. Klemme
language : en
Publisher: Bloomsbury Publishing
Release Date : 2016-06-30
The Bloomsbury Dictionary Of Eighteenth Century German Philosophers written by Heiner F. Klemme and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Philosophy categories.
The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a landmark work. Covering one of the most innovative centuries for philosophical investigation, it features more than 650 entries on the eighteenth-century philosophers, theologians, jurists, physicians, scholars, writers, literary critics and historians whose work has had lasting philosophical significance. Alongside well-known German philosophers of that era-Gottfried Wilhelm Leibniz, Immanuel Kant, and Georg Wilhelm Friedrich Hegel-the Dictionary provides rare insights into the lives and minds of lesser-known individuals who influenced the shape of philosophy. Each entry discusses a particular philosopher's life, contributions to the world of thought, and later influences, focusing not only on their most important published writings, but on relevant minor works as well. Bibliographical references to primary and secondary source material are included at the end of entries to encourage further reading, while extensive cross-referencing allows comparisons to be easily made between different thinkers' ideas and practices. For anyone looking to understand more about the century when enlightenment thinking arrived in Germany and established conceits were challenged, The Bloomsbury Dictionary of Eighteenth-Century German Philosophers is a valuable, unparalleled resource.
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.
Reading The Principia
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Author : Niccol- Guicciardini
language : en
Publisher: Cambridge University Press
Release Date : 2003-10-30
Reading The Principia written by Niccol- Guicciardini and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-30 with Mathematics categories.
The mathematical methods employed by Newton in the Principia stimulated much debate among contemporaries. This book explains how Newton addressed these issues, taking into consideration the values that directed his research. It will be of interest to researchers and students in history and philosophy of science, physics, mathematics and astronomy.
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.
The Oxford Handbook Of Leibniz
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Author : Maria Rosa Antognazza
language : en
Publisher: Oxford University Press
Release Date : 2018-10-01
The Oxford Handbook Of Leibniz written by Maria Rosa Antognazza and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-01 with Philosophy categories.
The extraordinary breadth and depth of Leibniz's intellectual vision commands ever increasing attention. As more texts gradually emerge from seemingly bottomless archives, new facets of his contribution to an astonishing variety of fields come to light. This volume provides a uniquely comprehensive, systematic, and up-to-date appraisal of Leibniz's thought thematically organized around its diverse but interrelated aspects. Discussion of his philosophical system naturally takes place of pride. A cluster of original essays revisit his logic, metaphysics, epistemology, philosophy of nature, moral and political philosophy, and philosophy of religion. The scope of the volume, however, goes beyond that of a philosophical collection to embrace all the main features of Leibniz's thought and activity. Contributions are offered on Leibniz as a mathematician (including not only his calculus but also determinant theory, symmetric functions, the dyadic, the analysis situs, probability and statistics); on Leibniz as a scientist (physics and also optics, cosmology, geology, physiology, medicine, and chemistry); on his technical innovations (the calculating machine and the technology of mining, as well as other discoveries); on his work as an 'intelligencer' and cultural networker, as jurist, historian, editor of sources and librarian; on his views on Europe's political future, religious toleration, and ecclesiastical reunification; on his proposals for political, administrative, economic, and social reform. In so doing, the volume serves as a unique cross-disciplinary point of contact for the many domains to which Leibniz contributed. By assembling leading specialists on all these topics, it offers the most rounded picture of Leibniz's endeavors currently available.
Historical Dictionary Of Leibniz S Philosophy
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Author : Stuart Brown
language : en
Publisher: Bloomsbury Publishing PLC
Release Date : 2023-04-30
Historical Dictionary Of Leibniz S Philosophy written by Stuart Brown and has been published by Bloomsbury Publishing PLC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-30 with Philosophy categories.
Gottfried Wilhelm Leibniz was one of the first modern philosophers and one of the most important. His contributions were often groundbreaking, and his impact remains in such fields as logic, mathematics, science, international law, and ethics. Historical Dictionary of Leibniz's Philosophy, Second Edition contains a chronology, an introduction, and an extensive bibliography. The dictionary section has more than 500 cross-referenced entries on Leibniz’s philosophy, written work, teachers, contemporaries, and philosophers influenced by him. This book is an excellent resource for students, researchers, and anyone wanting to know more about Leibniz's Philosophy.
The History Of The Priority Di Pute Between Newton And Leibniz
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Author : Thomas Sonar
language : en
Publisher: Birkhäuser
Release Date : 2018-04-12
The History Of The Priority Di Pute Between Newton And Leibniz written by Thomas Sonar and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-12 with Mathematics categories.
This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!
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.