The Mathematical Papers Of Isaac Newton 1667 1670

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The Mathematical Papers of Isaac Newton:

Author : Isaac Newton
Publisher : Cambridge University Press
ISBN 13 : 9780521058186
Total Pages : 544 pages
Book Rating : 4.0/5 (581 download)

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Book Synopsis The Mathematical Papers of Isaac Newton: by : Isaac Newton

Download or read book The Mathematical Papers of Isaac Newton: written by Isaac Newton and published by Cambridge University Press. This book was released on 1968-02-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second volume of Dr Whiteside's annotated edition of all the known mathematical papers of Isaac Newton covers the period 1667-70. It is divided into three parts: Part 1 contains the first drafts of an attempted classification of cubics, together with more general studies on the properties of higher algebraic curves and researches into the 'organic' construction of curves. Part 2 comprises papers on miscellaneous researches in calculus, including the important De Analysi which introduced Newton to John Collins and others outside Cambridge; Newton's original text is here accompanied by Leibniz's excerpts and review, and by Newton's counter review. Part 3 contains Mercator's Latin translation of Kinckhuysen's introduction to algebra, with Newton's corrections and 'observations' upon it, and an account of researches into algebraic equations and their geometrical construction.

The Mathematical Papers of Isaac Newton: Volume 2, 1667-1670

Author : Isaac Newton
Publisher : Cambridge University Press
ISBN 13 : 0521045967
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis The Mathematical Papers of Isaac Newton: Volume 2, 1667-1670 by : Isaac Newton

Download or read book The Mathematical Papers of Isaac Newton: Volume 2, 1667-1670 written by Isaac Newton and published by Cambridge University Press. This book was released on 2008-01-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : I. Bernard Cohen
Publisher : Cambridge University Press
ISBN 13 : 9780521273800
Total Pages : 428 pages
Book Rating : 4.2/5 (738 download)

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Book Synopsis The Newtonian Revolution by : I. Bernard Cohen

Download or read book The Newtonian Revolution written by I. Bernard Cohen and published by Cambridge University Press. This book was released on 1980 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Optical Papers of Isaac Newton: Volume 1, The Optical Lectures 1670-1672

Author : Isaac Newton
Publisher : Cambridge University Press
ISBN 13 : 0521252482
Total Pages : 650 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis The Optical Papers of Isaac Newton: Volume 1, The Optical Lectures 1670-1672 by : Isaac Newton

Download or read book The Optical Papers of Isaac Newton: Volume 1, The Optical Lectures 1670-1672 written by Isaac Newton and published by Cambridge University Press. This book was released on 1984-03-29 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of a three-volume complete edition of Newton's optical papers contains his Optical Lectures, delivered at Cambridge University between 1670 and 1672. The Lectures is Newton's first major scientific treatise, and consequently it represents a crucial link between his early years of discovery and his mature investigations and publications, such as the Optiks in 1704. It is divided into two parts: the first part devoted to color and the second to refraction. Originally published in 1984, this edition made available the complete text, together with translation and commentary, of both surviving versions of the Lectures, a draft and a vastly expanded revision. Until the time of publication, scholars had to depend on an uncritical text of the revision and an inadequate partial English translation, both published shortly after Newton's death. Professor Shapiro's critical edition has made a great contribution to the study of Newtonian science.

The Investigation of Difficult Things

Author : Peter Michael Harman
Publisher : Cambridge University Press
ISBN 13 : 9780521892667
Total Pages : 552 pages
Book Rating : 4.8/5 (926 download)

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Book Synopsis The Investigation of Difficult Things by : Peter Michael Harman

Download or read book The Investigation of Difficult Things written by Peter Michael Harman and published by Cambridge University Press. This book was released on 2002-11-07 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of twenty original essays on the history of science and mathematics. The topics covered embrace the main themes of Whiteside's scholarly work, emphasising Newtonian topics: mathematics and astronomy to Newton; Newton's manuscripts; Newton's Principia; Newton and eighteenth-century mathematics and physics; after Newton: optics and dynamics. The focus of these themes gives the volume considerable coherence. This volume of essays makes available important original work on Newton and the history of the exact sciences. This volume has been published in honour of D. T. Whiteside, famous for his edition of The Mathematical Papers of Isaac Newton.

Isaac Newton on Mathematical Certainty and Method

Author : Niccolo Guicciardini
Publisher : MIT Press
ISBN 13 : 0262291657
Total Pages : 449 pages
Book Rating : 4.2/5 (622 download)

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Book Synopsis Isaac Newton on Mathematical Certainty and Method by : Niccolo Guicciardini

Download or read book Isaac Newton on Mathematical Certainty and Method written by Niccolo Guicciardini and published by MIT Press. This book was released on 2011-08-19 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Contemporary Newtonian Research

Author : Z. Bechler
Publisher : Springer Science & Business Media
ISBN 13 : 9400977158
Total Pages : 245 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Contemporary Newtonian Research by : Z. Bechler

Download or read book Contemporary Newtonian Research written by Z. Bechler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

1670-1671

Author : Henry Oldenburg
Publisher :
ISBN 13 :
Total Pages : 642 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis 1670-1671 by : Henry Oldenburg

Download or read book 1670-1671 written by Henry Oldenburg and published by . This book was released on 1965 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bernhard Varenius (1622-1650)

Author :
Publisher : BRILL
ISBN 13 : 9047432193
Total Pages : 375 pages
Book Rating : 4.0/5 (474 download)

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Book Synopsis Bernhard Varenius (1622-1650) by :

Download or read book Bernhard Varenius (1622-1650) written by and published by BRILL. This book was released on 2007-11-30 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Bernhard Varenius’ books influenced the history of science in such a way that Isaac Newton, Alexander von Humboldt and Tsar Peter the Great all referred to him. Varenius wrote the first comprehensive description of Japan (Descriptio regni Japoniae, 1649) from a European perspective, exclusively based on a diversity of sources. But the impact of his Geographia generalis (1650) explains his ranking among the founding fathers of geography as a science. He called ‘general’ geography a branch of (applied) mathematics which does not deal with regional specifics. The contributions in this book focus on his multi-faceted work, the influence of his books and the tragically short life of this young polymath from Germany who benefited from the intellectually stimulating milieu of Leiden and Amsterdam. Contributors include: Horst Walter Blanke, Reinhard Düchting, Klaus Lehmann, Robert Mayhew, Sandra Rebok, Folker Reichert, Frank Richter, Margret Schuchard, Denis J.B. Shaw, Ulrich Staffhorst, Johann Anselm Steiger, Rienk H. Vermij, and Ernst-Christian Volkmann.

A History of Algorithms

Author : Jean-Luc Chabert
Publisher : Springer Science & Business Media
ISBN 13 : 3642181929
Total Pages : 522 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis A History of Algorithms by : Jean-Luc Chabert

Download or read book A History of Algorithms written by Jean-Luc Chabert and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The development of computing has reawakened interest in algorithms. Often neglected by historians and modern scientists, algorithmic procedures have been instrumental in the development of fundamental ideas: practice led to theory just as much as the other way round. The purpose of this book is to offer a historical background to contemporary algorithmic practice.

The Mathematical Papers of Isaac Newton: Volume 1

Author : Isaac Newton
Publisher : Cambridge University Press
ISBN 13 : 0521045959
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis The Mathematical Papers of Isaac Newton: Volume 1 by : Isaac Newton

Download or read book The Mathematical Papers of Isaac Newton: Volume 1 written by Isaac Newton and published by Cambridge University Press. This book was released on 2008-01-03 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geographies of the Book

Author : Charles W.J. Withers
Publisher : Routledge
ISBN 13 : 1317128982
Total Pages : 317 pages
Book Rating : 4.3/5 (171 download)

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Book Synopsis Geographies of the Book by : Charles W.J. Withers

Download or read book Geographies of the Book written by Charles W.J. Withers and published by Routledge. This book was released on 2016-04-15 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: The geography of the book is as old as the history of the book, though far less thoroughly explored. Yet research has increasingly pointed to the spatial dimensions of book history, to the transformation of texts as they are made and moved from place to place, from authors to readers and within different communities and cultures of reception. Widespread recognition of the significance of place, of the effects of movement over space and of the importance of location to the making and reception of print culture has been a feature of recent book history work, and draws in many instances upon studies within the history of science as well as geography. 'Geographies of the Book' explores the complex relationships between the making of books in certain geographical contexts, the movement of books (epistemologically as well as geographically) and the ways in which they are received.

An Introduction to Nonlinear Finite Element Analysis

Author : Junuthula Narasimha Reddy
Publisher :
ISBN 13 : 0199641757
Total Pages : 721 pages
Book Rating : 4.1/5 (996 download)

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Book Synopsis An Introduction to Nonlinear Finite Element Analysis by : Junuthula Narasimha Reddy

Download or read book An Introduction to Nonlinear Finite Element Analysis written by Junuthula Narasimha Reddy and published by . This book was released on 2015 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of An Introduction to Nonlinear Finite Element Analysis has the same objective as the first edition, namely, to facilitate an easy and thorough understanding of the details that are involved in the theoretical formulation, finite element model development, and solutions of nonlinear problems. The book offers an easy-to-understand treatment of the subject of nonlinear finite element analysis, which includes element development from mathematical models and numerical evaluation of the underlying physics. The new edition is extensively reorganized and contains substantial amounts of new material. Chapter 1 in the second edition contains a section on applied functional analysis. Chapter 2 on nonlinear continuum mechanics is entirely new. Chapters 3 through 8 in the new edition correspond to Chapter 2 through 8 of the first edition, but with additional explanations, examples, and exercise problems. Material on time dependent problems from Chapter 8 of the first edition is absorbed into Chapters 4 through 8 of the new edition. Chapter 9 is extensively revised and it contains up to date developments in the large deformation analysis of isotropic, composite and functionally graded shells. Chapter 10 of the first edition on material nonlinearity and coupled problems is reorganized in the second edition by moving the material on solid mechanics to Chapter 12 in the new edition and material on coupled problems to the new chapter, Chapter 10, on weak-form Galerkin finite element models of viscous incompressible fluids. Finally, Chapter 11 in the second edition is entirely new and devoted to least-squares finite element models of viscous incompressible fluids. Chapter 12 of the second edition is enlarged to contain finite element models of viscoelastic beams. In general, all of the chapters of the second edition contain additional explanations, detailed example problems, and additional exercise problems. Although all of the progr

Tales of Impossibility

Author : David S. Richeson
Publisher : Princeton University Press
ISBN 13 : 0691218722
Total Pages : 450 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Tales of Impossibility by : David S. Richeson

Download or read book Tales of Impossibility written by David S. Richeson and published by Princeton University Press. This book was released on 2021-11-02 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive look at four of the most famous problems in mathematics Tales of Impossibility recounts the intriguing story of the renowned problems of antiquity, four of the most famous and studied questions in the history of mathematics. First posed by the ancient Greeks, these compass and straightedge problems—squaring the circle, trisecting an angle, doubling the cube, and inscribing regular polygons in a circle—have served as ever-present muses for mathematicians for more than two millennia. David Richeson follows the trail of these problems to show that ultimately their proofs—which demonstrated the impossibility of solving them using only a compass and straightedge—depended on and resulted in the growth of mathematics. Richeson investigates how celebrated luminaries, including Euclid, Archimedes, Viète, Descartes, Newton, and Gauss, labored to understand these problems and how many major mathematical discoveries were related to their explorations. Although the problems were based in geometry, their resolutions were not, and had to wait until the nineteenth century, when mathematicians had developed the theory of real and complex numbers, analytic geometry, algebra, and calculus. Pierre Wantzel, a little-known mathematician, and Ferdinand von Lindemann, through his work on pi, finally determined the problems were impossible to solve. Along the way, Richeson provides entertaining anecdotes connected to the problems, such as how the Indiana state legislature passed a bill setting an incorrect value for pi and how Leonardo da Vinci made elegant contributions in his own study of these problems. Taking readers from the classical period to the present, Tales of Impossibility chronicles how four unsolvable problems have captivated mathematical thinking for centuries.

Worlds Out of Nothing

Author : Jeremy Gray
Publisher : Springer Science & Business Media
ISBN 13 : 0857290606
Total Pages : 390 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Worlds Out of Nothing by : Jeremy Gray

Download or read book Worlds Out of Nothing written by Jeremy Gray and published by Springer Science & Business Media. This book was released on 2011-02-01 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the latest historical research, Worlds Out of Nothing is the first book to provide a course on the history of geometry in the 19th century. Topics covered in the first part of the book are projective geometry, especially the concept of duality, and non-Euclidean geometry. The book then moves on to the study of the singular points of algebraic curves (Plücker’s equations) and their role in resolving a paradox in the theory of duality; to Riemann’s work on differential geometry; and to Beltrami’s role in successfully establishing non-Euclidean geometry as a rigorous mathematical subject. The final part of the book considers how projective geometry rose to prominence, and looks at Poincaré’s ideas about non-Euclidean geometry and their physical and philosophical significance. Three chapters are devoted to writing and assessing work in the history of mathematics, with examples of sample questions in the subject, advice on how to write essays, and comments on what instructors should be looking for.

Analytic Projective Geometry

Author : John Bamberg
Publisher : Cambridge University Press
ISBN 13 : 1009260634
Total Pages : 476 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Analytic Projective Geometry by : John Bamberg

Download or read book Analytic Projective Geometry written by John Bamberg and published by Cambridge University Press. This book was released on 2023-10-19 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces students to projective geometry from an analytic perspective, mixing recent results from the past 100 years with the history of the field in one of the most comprehensive surveys of the subject. The subject is taught conceptually, with worked examples and diagrams to aid in understanding.

Conflicts Between Generalization, Rigor, and Intuition

Author : Gert Schubring
Publisher : Springer Science & Business Media
ISBN 13 : 0387282734
Total Pages : 689 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Conflicts Between Generalization, Rigor, and Intuition by : Gert Schubring

Download or read book Conflicts Between Generalization, Rigor, and Intuition written by Gert Schubring and published by Springer Science & Business Media. This book was released on 2006-06-10 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is, as may be readily apparent, the fruit of many years’ labor in archives and libraries, unearthing rare books, researching Nachlässe, and above all, systematic comparative analysis of fecund sources. The work not only demanded much time in preparation, but was also interrupted by other duties, such as time spent as a guest professor at universities abroad, which of course provided welcome opportunities to present and discuss the work, and in particular, the organizing of the 1994 International Graßmann Conference and the subsequent editing of its proceedings. If it is not possible to be precise about the amount of time spent on this work, it is possible to be precise about the date of its inception. In 1984, during research in the archive of the École polytechnique, my attention was drawn to the way in which the massive rupture that took place in 1811—precipitating the change back to the synthetic method and replacing the limit method by the method of the quantités infiniment petites—significantly altered the teaching of analysis at this first modern institution of higher education, an institution originally founded as a citadel of the analytic method.