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The Early Mathematical Manuscripts Of Leibniz

Author: G. W. Leibniz
Publisher: Courier Corporation
ISBN: 0486154718
Size: 55.11 MB
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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 Early Mathematical Manuscripts Of Leibniz

Author: Gottfried Wilhelm Leibniz
Publisher: Cosimo, Inc.
ISBN: 1605205338
Size: 21.33 MB
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The impact of the work of German mathematician GOTTFRIED WILHELM LEIBNIZ (1646-1716) on modern science and technology is all but incalculable, but for starters, his notation for infinitesimal calculus-which he developed independently of Newton-remains in use today, and his invention of binary counting is the basis for modern computing. He was a powerfully influential philosopher as well, and is still considered, alongside Descartes and Spinoza, one of the great 17th-century rationalists.With no complete edition of his numerous writings on the wide range of subjects he expounded upon available even today, this 1920 collection of his early mathematical manuscripts-as well as some third-party commentary on them-continues to be essential to anyone wishing to understand Leibniz's contributions to modern science.Here students of the history of science and math lovers alike will enjoy Leibniz's thoughts on the infinitesimal calculus, including a series of manuscripts from 1675, 1676, and 1677, plus the essays "Leibniz in London" and "Leibniz and Pascal" by German scholar C.I. Gerhardt.

The Early Mathematical Manuscripts Of Leibniz

Author: Carl Immanuel Gerhardt Gottfried Wilhelm Leibniz
ISBN: 9781548544317
Size: 56.82 MB
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The Early Mathematical Manuscripts of Leibniz by Carl Immanuel Gerhardt Gottfried Wilhelm Leibniz, first published in 1920, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it.

The Early Mathematical Manuscripts Of Leibniz Classic Reprint

Author: J. M. Child
Publisher: Forgotten Books
ISBN: 9780266868057
Size: 31.30 MB
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Excerpt from The Early Mathematical Manuscripts of Leibniz In writing the following pages, I have been greatly influenced and helped by the emphasis laid by Mr. Philip E. B. Jourdain upon the importance which Leibniz himself attached to the no tion of a calculus in general, and his own operational calculus in particular; he it was who also suggested that I should undertake a critical translation of the early mathematical manuscripts of Leib niz; to him also I am greatly indebted for many points upon which I was unable to make up my mind on the evidence that I could get from the manuscripts alone. I have also to thank Mr. W. J. Green street for looking through my articles before they were assembled for the purpose of this volume, and for making some valuable sug gestions. My excuse for publishing these manuscripts, enlarged with so many and such long critical notes, must lie in the fact that I have made a careful study of the work of Barrow, and have recognized, perhaps at more than its true value, though I do not think so personally, its great genius and the influence it had on Leibniz. The opportunities it was capable of affording to Leibniz, the greater likeness that the work of Leibniz bears to that of Barrow than to that of Newton, have forced me to the conclusion that Leibniz was in no way indebted to Newton for anything, yet his statement in a letter to the Marquis d'hospital, that he was under no obligation to Barrow for his methods, is absolutely correct. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

The Tangled Origins Of The Leibnizian Calculus

Author: Richard C Brown
Publisher: World Scientific
ISBN: 9814401617
Size: 49.25 MB
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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. Contents:Evolution or Revolution in MathematicsIssues in Seventeenth Century MathematicsIsaac Barrow: A Foil to LeibnizA Young Central European PolymathFirst Steps in MathematicsThe Creation of CalculusLogicThe Universal CharacteristicThe Baroque Cultural ContextEpilogueSome Concluding Remarks on Mathematical ChangeAppendices:A: A Transmutation Theorem of LeibnizB: Leibniz's Series Quadrature of a ConicC: Syllogistic LogicD: The Vis Viva DisputeE: Some Applications of Curves and Neusis in Greek GeometryF: InfinitesimalsA Note on the Author Readership: Advanced undergraduate students, graduate students and researchers in mathematics, history of mathematics or history of science. Keywords:Leibniz;Calculus;Geometry;17th Century MathematicsKey Features:The thoroughness and comprehensiveness of the treatment of this book are based on recent researchTechnical details of the mathematics are carefully dealt with instead of just being summarized for the general readerNo other work on the development of calculus includes a description and analysis of the Baroque/Renaissance atmosphere of fascination with symbols, emblems, Real Characters and philosophical languages which motivated both Leibniz's mathematics and his search for the Universal Characteristic

The Calculus Wars

Author: Jason Socrates Bardi
Publisher: Basic Books
ISBN: 0786733640
Size: 26.53 MB
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This vibrant and gripping history ultimately exposes how these twin mathematical giants (Newton, Leibniz) were proud, brilliant, at times mad, and in the end completely human.