Isaac Newton on mathematical certainty and method / Niccolo Guicciardini.

Format:

Book

Author/Creator:

Guicciardini, Niccolò.

Series:

Transformations.

Transformations : studies in the history of science and technology

Language:

English

Subjects (All):

Mathematical analysis.

Mathematics--History.

Mathematics.

Newton, Isaac, 1642-1727--Knowledge--Mathematics.

Newton, Isaac.

Physical Description:

1 online resource (449 p.)

Edition:

1st ed.

Place of Publication:

Cambridge, MA : MIT Press, c2009.

Language Note:

English

Summary:

An analysis of Newton's mathematical work, from early discoveries to mature reflections, & a discussion of Newton's views on the role & nature of mathematics, in this book Guicciardini reconstructs Newton's own method by extracting it from his concrete practice.

Contents:

Contents; Preface; Abbreviations and Conventions; I Preliminaries; 1 Newton on Mathematical Method; 2 Newton on Certainty in Optical Lectures; 3 Descartes on Method and Certainty in the Géométrie; II Against Cartesian Analysis and Synthesis; 4 Against Descartes on Determinate Problems; 5 Against Descartes on Indeterminate Problems; 6 Beyond the Cartesian Canon; III New Analysis and the Synthetic Method; 7 The Method of Series; 8 The Analytical Method of Fluxions; 9 The Synthetic Method of Fluxions; IV Natural Philosophy; 10 The Principia; 11 Hidden Common Analysis; 12 Hidden New Analysis

V Ancients and Moderns13 Geometry and Mechanics; 14 Analysis and Synthesis; VI Against Leibniz; 15 The Quarrel with Leibniz; 16 Scribal Publication, 1672-1699; 17 Fluxions in Print, 1700-1715; Conclusion; A Brief Chronology of Newton's Mathematical Work; References; Index

Notes:

Description based upon print version of record.

OCLC-licensed vendor bibliographic record.

Includes bibliographical references and index.

ISBN:

0-262-29165-7

1-282-69451-0

9786612694516

0-262-25886-2

OCLC:

471873760

Publisher Number:

9786612694516