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The Mathematical Papers Of Isaac Newton Volume Iii 1670 1673
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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.
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.
Book Synopsis Theory Of Toroidally Confined Plasmas, The (Third Edition) by : Roscoe B White
Download or read book Theory Of Toroidally Confined Plasmas, The (Third Edition) written by Roscoe B White and published by World Scientific Publishing Company. This book was released on 2013-11-18 with total page 527 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate level textbook develops the theory of magnetically confined plasma, with the aim of bringing the reader to the level of current research in the field of thermonuclear fusion. It begins with the basic concepts of magnetic field description, plasma equilibria and stability, and goes on to derive the equations for guiding center particle motion in an equilibrium field. Topics include linear and nonlinear ideal and resistive modes and particle transport. It is of use to workers in the field of fusion both for its wide-ranging account of tokamak physics and as a kind of handbook or formulary.This edition has been extended in a number of ways. The material on mode-particle interactions has been reformulated and much new information added, including methodology for Monte Carlo implementation of mode destabilization. These results give explicit means of carrying out mode destabilization analysis, in particular for the dangerous fishbone mode. A new chapter on cyclotron motion in toroidal geometry has been added, with comparisons of the analysis of resonances using guiding center results. A new chapter on the use of lithium lined walls has been added, a promising means of lowering the complexity and cost of full scale fusion reactors. A section on nonlocal transport has been added, including an analysis of Levy flight simulations of ion transport in the reversed field pinch in Padova, RFX.
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.
Book Synopsis The Key to Newton's Dynamics by : J. Bruce Brackenridge
Download or read book The Key to Newton's Dynamics written by J. Bruce Brackenridge and published by Univ of California Press. This book was released on 1996-02-29 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: While much has been written on the ramifications of Newton's dynamics, until now the details of Newton's solution were available only to the physics expert. The Key to Newton's Dynamics clearly explains the surprisingly simple analytical structure that underlies the determination of the force necessary to maintain ideal planetary motion. J. Bruce Brackenridge sets the problem in historical and conceptual perspective, showing the physicist's debt to the works of both Descartes and Galileo. He tracks Newton's work on the Kepler problem from its early stages at Cambridge before 1669, through the revival of his interest ten years later, to its fruition in the first three sections of the first edition of the Principia.
Book Synopsis The Foundations Of Newtonian Scholarship by : Richard H Dalitz
Download or read book The Foundations Of Newtonian Scholarship written by Richard H Dalitz and published by World Scientific. This book was released on 2000-07-31 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Newtonian scholarship has taken great steps forward in the last half-century. The recent completion of critical editions of Newton's mathematical papers and of his scientific correspondence, as well as the publication of the first volume of his optical papers and of variant readings of the Principia in the original Latin, have made most of Newton's scientific work generally available for study and analysis for the first time. This has provided a better understanding of Newton's Principia and Optics especially regarding their origin and interpretation, much of which has remained obscure for several centuries. Some of the new developments and insights are presented in this book by several of the scholars who have made these primary sources accessible, and by others who are using them to elucidate Newton's work. Most of the papers included were presented at the Symposium on the Foundations of Newtonian Scholarship, held at the Royal Society in London in March 1997.
Book Synopsis Asymptotic Analysis of Differential Equations by : R. B. White
Download or read book Asymptotic Analysis of Differential Equations written by R. B. White and published by World Scientific. This book was released on 2010 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This is a useful volume in which a wide selection of asymptotic techniques is clearly presented in a form suitable for both applied mathematicians and Physicists who require an introduction to asymptotic techniques." --Book Jacket.
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.
Book Synopsis Mathematics and Philosophy by : Daniel Parrochia
Download or read book Mathematics and Philosophy written by Daniel Parrochia and published by John Wiley & Sons. This book was released on 2018-05-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, which studies the links between mathematics and philosophy, highlights a reversal. Initially, the (Greek) philosophers were also mathematicians (geometers). Their vision of the world stemmed from their research in this field (rational and irrational numbers, problem of duplicating the cube, trisection of the angle...). Subsequently, mathematicians freed themselves from philosophy (with Analysis, differential Calculus, Algebra, Topology, etc.), but their researches continued to inspire philosophers (Descartes, Leibniz, Hegel, Husserl, etc.). However, from a certain level of complexity, the mathematicians themselves became philosophers (a movement that begins with Wronsky and Clifford, and continues until Grothendieck).
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.
Book Synopsis Comparison Methods and Stability Theory by : Xinzhi Liu
Download or read book Comparison Methods and Stability Theory written by Xinzhi Liu and published by CRC Press. This book was released on 2020-12-17 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is based on the International Symposium on Comparison Methods and Stability Theory held in Waterloo, Ontario, Canada. It presents advances in comparison methods and stability theory in a wide range of nonlinear problems, covering a variety of topics such as ordinary, functional, impulsive, integro-, partial, and uncertain differential equations.
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.
Book Synopsis Introduction to Newton's "Principia" by : I. Bernard Cohen
Download or read book Introduction to Newton's "Principia" written by I. Bernard Cohen and published by . This book was released on 1971 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Deleuze and the History of Mathematics by : Simon Duffy
Download or read book Deleuze and the History of Mathematics written by Simon Duffy and published by A&C Black. This book was released on 2013-07-04 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gilles Deleuze's engagements with mathematics, replete in his work, rely upon the construction of alternative lineages in the history of mathematics, which challenge some of the self imposed limits that regulate the canonical concepts of the discipline. For Deleuze, these challenges are an opportunity to reconfigure particular philosophical problems - for example, the problem of individuation - and to develop new concepts in response to them. The highly original research presented in this book explores the mathematical construction of Deleuze's philosophy, as well as addressing the undervalued and often neglected question of the mathematical thinkers who influenced his work. In the wake of Alain Badiou's recent and seemingly devastating attack on the way the relation between mathematics and philosophy is configured in Deleuze's work, Simon Duffy offers a robust defence of the structure of Deleuze's philosophy and, in particular, the adequacy of the mathematical problems used in its construction. By reconciling Badiou and Deleuze's seeming incompatible engagements with mathematics, Duffy succeeds in presenting a solid foundation for Deleuze's philosophy, rebuffing the recent challenges against it.
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.
Book Synopsis Descartes’s Mathematical Thought by : C. Sasaki
Download or read book Descartes’s Mathematical Thought written by C. Sasaki and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering both the history of mathematics and of philosophy, Descartes's Mathematical Thought reconstructs the intellectual career of Descartes most comprehensively and originally in a global perspective including the history of early modern China and Japan. Especially, it shows what the concept of "mathesis universalis" meant before and during the period of Descartes and how it influenced the young Descartes. In fact, it was the most fundamental mathematical discipline during the seventeenth century, and for Descartes a key notion which may have led to his novel mathematics of algebraic analysis.
Book Synopsis Year-book of the Royal Society of London by : Royal Society (Great Britain)
Download or read book Year-book of the Royal Society of London written by Royal Society (Great Britain) and published by . This book was released on 1970 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
