Home eBooks Download › force and geometry in newton s principia

Force And Geometry In Newton S Principia

Download Force And Geometry In Newton S Principia PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Force And Geometry In Newton S Principia book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Force And Geometry In Newton S Principia

DOWNLOAD

Author : François De Gandt
language : en
Publisher: Princeton University Press
Release Date : 2014-07-14

Force And Geometry In Newton S Principia written by François De Gandt and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Science categories.

In this book François De Gandt introduces us to the reading of Newton's Principia in its own terms. The path of access that De Gandt proposes leads through the study of the geometrization of force. The result is a highly original meditation on the sources and meaning of Newton's magnum opus. In Chapter I De Gandt presents a translation of and detailed commentary on an earlier and simpler version of what in 1687 became Book I of the Principia; here in clearer and starker outline than in the final version, the basic principles of Newton's dynamics show forth. Chapter II places this dynamics in the intellectual context of earlier efforts--the first seeds of celestial dynamics in Kepler, Galileo's theory of accelerated motion, and Huygens's quantification of centrifugal force--and evaluates Newton's debt to these thinkers. Chapter III is a study of the mathematical tools used by Newton and their intellectual antecedents in the works of Galileo, Torricelli, Barrow, and other seventeenth-century mathematicians. The conclusion discusses the new status of force and cause in the science that emerges from Newton's Principia. Originally published in 1995. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

A Combination Of Geometry Theorem Proving And Nonstandard Analysis With Application To Newton S Principia

DOWNLOAD

Author : Jacques Fleuriot
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-30

A Combination Of Geometry Theorem Proving And Nonstandard Analysis With Application To Newton S Principia written by Jacques Fleuriot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-30 with Mathematics categories.

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague. In A Combination of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot presents a formalization of Lemmas and Propositions from the Principia using a combination of methods from geometry and nonstandard analysis. The mechanization of the procedures, which respects much of Newton's original reasoning, is developed within the theorem prover Isabelle. The application of this framework to the mechanization of elementary real analysis using nonstandard techniques is also discussed.

The Mathematical Principles Underlying Newton S Principia Mathematica

DOWNLOAD

Author : Derek Thomas Whiteside
language : en
Publisher: University of Glasgow French and German Publications
Release Date : 1970

The Mathematical Principles Underlying Newton S Principia Mathematica written by Derek Thomas Whiteside and has been published by University of Glasgow French and German Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Biography & Autobiography categories.

Newton S Principia

DOWNLOAD

Author : Isaac Newton
language : en
Publisher:
Release Date : 1848

Newton S Principia written by Isaac Newton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1848 with Celestial mechanics categories.

Isaac Newton On Mathematical Certainty And Method

DOWNLOAD

Author : Niccolo Guicciardini
language : en
Publisher: MIT Press
Release Date : 2011-08-19

Isaac Newton On Mathematical Certainty And Method written by Niccolo Guicciardini and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-19 with Mathematics categories.

An analysis of Newton's mathematical work, from early discoveries to mature reflections, and a discussion of Newton's views on the role and nature of mathematics. Historians of mathematics have devoted considerable attention to Isaac Newton's work on algebra, series, fluxions, quadratures, and geometry. In Isaac Newton on Mathematical Certainty and Method, Niccolò Guicciardini examines a critical aspect of Newton's work that has not been tightly connected to Newton's actual practice: his philosophy of mathematics. Newton aimed to inject certainty into natural philosophy by deploying mathematical reasoning (titling his main work The Mathematical Principles of Natural Philosophy most probably to highlight a stark contrast to Descartes's Principles of Philosophy). To that end he paid concerted attention to method, particularly in relation to the issue of certainty, participating in contemporary debates on the subject and elaborating his own answers. Guicciardini shows how Newton carefully positioned himself against two giants in the “common” and “new” analysis, Descartes and Leibniz. Although his work was in many ways disconnected from the traditions of Greek geometry, Newton portrayed himself as antiquity's legitimate heir, thereby distancing himself from the moderns. Guicciardini reconstructs Newton's own method by extracting it from his concrete practice and not solely by examining his broader statements about such matters. He examines the full range of Newton's works, from his early treatises on series and fluxions to the late writings, which were produced in direct opposition to Leibniz. The complex interactions between Newton's understanding of method and his mathematical work then reveal themselves through Guicciardini's careful analysis of selected examples. Isaac Newton on Mathematical Certainty and Method uncovers what mathematics was for Newton, and what being a mathematician meant to him.

Analytical View Of Sir Isaac Newton S Principia

DOWNLOAD

Author : Henry Brougham Baron Brougham and Vaux
language : en
Publisher:
Release Date : 1855

Analytical View Of Sir Isaac Newton S Principia written by Henry Brougham Baron Brougham and Vaux and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1855 with Physics categories.