The Mathematical Papers of Isaac Newton: Volume 4, 1674-1684

The Mathematical Papers of Isaac Newton: Volume 4, 1674-1684 PDF

Author: Isaac Newton

Publisher: Cambridge University Press

Published: 2008-01-03

Total Pages: 0

ISBN-13: 0521045835

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The aim of this collection is to present the surviving papers of Isaac Newton's scientific writings, along with sufficient commentary to clarify the particularity of seventeenth-century idiom and to illuminate the contemporary significance of the text discussed.

The Mathematical Papers of Isaac Newton:

The Mathematical Papers of Isaac Newton: PDF

Author: Isaac Newton

Publisher: Cambridge University Press

Published: 1969-06-02

Total Pages: 616

ISBN-13: 9780521071192

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The main part of the third volume of Dr Whiteside's annotated and critical edition of all the known mathematical papers of Isaac Newton reproduces, from the original autograph, Newton's elaborate tract on infinite series and fluxions (the so-called Methodus Fluxionum), including a formerly unpublished appendix on geometrical fluxions. Ancillary documents include, in Part 1, papers on the integration of algebraic functions and, in Part 2, short texts dealing with geometry and simple harmonic motion in a cycloidal arc. Part 3 reproduces, from both manuscript versions of Newton's Lectiones Opticae and from his Waste Book, mathematical excerpts from his researches into light and the theory of lenses at this period. An appendix summarizes mathematical highlights in his contemporary correspondence.

The Mathematical Papers of Isaac Newton: Volume 5, 1683-1684

The Mathematical Papers of Isaac Newton: Volume 5, 1683-1684 PDF

Author: Isaac Newton

Publisher: Cambridge University Press

Published: 2008-01-03

Total Pages: 0

ISBN-13: 0521045843

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The aim of this collection is to present the surviving papers of Isaac Newton's scientific writings, along with sufficient commentary to clarify the particularity of seventeenth-century idiom and to illuminate the contemporary significance of the text discussed.

The Newtonian Revolution

The Newtonian Revolution PDF

Author: I. Bernard Cohen

Publisher: Cambridge University Press

Published: 1980

Total Pages: 428

ISBN-13: 9780521273800

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This volume presents Professor Cohen's original interpretation of the revolution that marked the beginnings of modern science and set Newtonian science as the model for the highest level of achievement in other branches of science. It shows that Newton developed a special kind of relation between abstract mathematical constructs and the physical systems that we observe in the world around us by means of experiment and critical observation. The heart of the radical Newtonian style is the construction on the mind of a mathematical system that has some features in common with the physical world; this system was then modified when the deductions and conclusions drawn from it are tested against the physical universe. Using this system Newton was able to make his revolutionary innovations in celestial mechanics and, ultimately, create a new physics of central forces and the law of universal gravitation. Building on his analysis of Newton's methodology, Professor Cohen explores the fine structure of revolutionary change and scientific creativity in general. This is done by developing the concept of scientific change as a series of transformations of existing ideas. It is shown that such transformation is characteristic of many aspects of the sciences and that the concept of scientific change by transformation suggests a new way of examining the very nature of scientific creativity.

Contemporary Newtonian Research

Contemporary Newtonian Research PDF

Author: Z. Bechler

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 245

ISBN-13: 9400977158

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them in his cheat-preface to Copernicus De Revolutionibus, but the main change in their import has been that whereas Osiander defended Copernicus, Mach and Duhem defended science. The modem conception of hypothetico deductive science is, again, geared to defend the respectability of science in much the same way: the physical interpretation, it says, is merely and always hypothetical, and so the scientist is never really committed to it. Hence, when science sheds the physical interpretation off its mathematical skeleton as time and refutation catch up with it, the scientist is not really caught in error, for he never was committed to this interpretation in the first place. This is the apologetic essence of present day, Popper-like, versions of the idea of science as a mathematical-core-cum-interpretational shell. This is also Cohen's view, for it aims to free Newton of any existential commitment to which his theory might allegedly commit him. It will be readily seen that Cohen regards this methodological distinction between mathematics and physics to be the backbone of the Newtonian revolution in science (which is, in its tum, the climax of the whole Scientific Revolution) for a very clear reason: it enables us to argue that Newton could use freely the new concept of centripetal force, even though he did not be lieve in physical action at a distance and could not conceive how such a force could act to produce its effects". ([3] pp.