Download or read book Huygens and Barrow Newton and Hooke written by Vladimir I. Arnold and published by Birkhäuser. This book was released on 2012-12-06 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Translated from the Russian by E.J.F. Primrose "Remarkable little book." -SIAM REVIEW V.I. Arnold, who is renowned for his lively style, retraces the beginnings of mathematical analysis and theoretical physics in the works (and the intrigues!) of the great scientists of the 17th century. Some of Huygens' and Newton's ideas. several centuries ahead of their time, were developed only recently. The author follows the link between their inception and the breakthroughs in contemporary mathematics and physics. The book provides present-day generalizations of Newton's theorems on the elliptical shape of orbits and on the transcendence of abelian integrals; it offers a brief review of the theory of regular and chaotic movement in celestial mechanics, including the problem of ports in the distribution of smaller planets and a discussion of the structure of planetary rings.
Download or read book Huygens and Barrow Newton and Hooke written by Vladimir I Arnold and published by . This book was released on 1990-07-01 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Newton and the Origin of Colours written by Michael Roberts and published by Happy Printers. This book was released on 1934 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is Yahtzee your passion? Then, this book is what for you. Record the score of each player and dice throwing Keep track of every full, three of a kind, chance and, of course, every Lucky Yahtzee launch Product Details:
Download or read book Newton his Friends and his Foes written by A. Rupert Hall and published by Taylor & Francis. This book was released on 2024-10-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last forty years Professor Hall has been a major contributor to the ’new view’ of Newton now generally accepted. Essentially this has derived from the bringing to light and examination of Newton’s vast, but long neglected legacy of manuscripts, and the first studies in this volume illustrate the wealth of information these provide on the earliest phases of his great discoveries in mathematics and science. In particular, they confirm the intensity and originality of Newton’s investigations before and through the ’anni mirabiles’ of 1665-66. Further papers then deal with his relations with contemporaries such as Hooke, Leibniz and Huyghens, again making extensive use of unpublished manuscript material, and with the developing influence of his work. Durant les quarante dernières années, le professeur Hall a été l’un des plus importants contributeurs à la nouvelle appréciation de l’oeuvre de Newton, qui est de nos jours la plus généralement acceptée. Ceci provient essentiellement de l’examen du vaste héritage de manuscrits laissés par Newton et très longtemps négligé; les premières études de ce volume illustrent la richesse d’informations contenues dans ceux-ci quant aux toutes premières phases de ses grandes découvertes dans le domaine des mathématiques et de le science. Ils confirment en particulier l’intensité et l’originalité des recherches de Newton avant et pendant les anni mirabiles de 1665-66. S’ajoutent à ceci plusieurs études, où il est à nouveau fait grand usage de manuscrits inédits, traitant des rapports qu’il entretenait avec ses contemporains tels, Hooke, Leibniz et Huyghens, ainsi que de l’influence progressive de ses travaux.
Download or read book All was Light written by Alfred Rupert Hall and published by Oxford University Press, USA. This book was released on 1993 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Opticks is Newton's most popular book. It is a complex work, the fruit of forty years of thought and investigation. Newton devoted various periods of experimentation to this final expression of his life's work and drew on the results of successive interactions with other scientists and thinkers. This introduction to his book seeks to disentangle the different layers of his thought in the light of these influences while explaining the development of the final text. It faces the problem of the changes in Newton's ideas in the course of the book's long preparation, touching on such deep questions of natural philosophy as atomism, forces, and the aether. The author also looks in detail at the way Newton has been interpreted both at home and abroad. This book, with its readable style and nonmathematical approach, should serve as an introduction to this area of Newton's science seen in the context of eighteenth century thought in Europe.
Download or read book Force and Geometry in Newton s Principia written by François De Gandt and published by Princeton University Press. This book was released on 2014-07-14 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Life of Isaac Newton written by Richard S. Westfall and published by Cambridge University Press. This book was released on 2015-09-29 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Isaac Newton was indisputably one of the greatest scientists in history. His achievements in mathematics and physics marked the culmination of the movement that brought modern science into being. Richard Westfall's biography captures in engaging detail both his private life and scientific career, presenting a complex picture of Newton the man, and as scientist, philosopher, theologian, alchemist, public figure, President of the Royal Society, and Warden of the Royal Mint. An abridged version of his magisterial study Never at Rest (Cambridge, 1980), this concise biography makes Westfall's highly acclaimed portrait of Newton newly accessible to general readers.
Download or read book Isaac Newton written by Sydney Srinivas and published by Prism Books Private Limited. This book was released on 2019-01-12 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The History of the Priority Di pute between Newton and Leibniz written by Thomas Sonar and published by Birkhäuser. This book was released on 2018-04-12 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thrilling history of the famous priority dispute between Gottfried Wilhelm Leibniz and Isaac Newton, presenting the episode for the first time in the context of cultural history. It introduces readers to the background of the dispute, details its escalation, and discusses the aftermath of the big divide, which extended well into rThe Early Challengesnd the story is very intelligibly explained – an approach that offers general readers interested in the history of sciences and mathematics a window into the world of these two giants in their field. From the epilogue to the German edition by Eberhard Knobloch:Thomas Sonar has traced the emergence and the escalation of this conflict, which was heightened by Leibniz’s rejection of Newton’s gravitation theory, in a grandiose, excitingly written monograph. With absolute competence, he also explains the mathematical context so that non-mathematicians will also profit from the book. Quod erat demonstrandum!
Download or read book Series and Products in the Development of Mathematics Volume 2 written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two-volume work that traces the development of series and products from 1380 to 2000 by presenting and explaining the interconnected concepts and results of hundreds of unsung as well as celebrated mathematicians. Some chapters deal with the work of primarily one mathematician on a pivotal topic, and other chapters chronicle the progress over time of a given topic. This updated second edition of Sources in the Development of Mathematics adds extensive context, detail, and primary source material, with many sections rewritten to more clearly reveal the significance of key developments and arguments. Volume 1, accessible even to advanced undergraduate students, discusses the development of the methods in series and products that do not employ complex analytic methods or sophisticated machinery. Volume 2 examines more recent results, including deBranges' resolution of Bieberbach's conjecture and Nevanlinna's theory of meromorphic functions.
Download or read book Series and Products in the Development of Mathematics written by Ranjan Roy and published by Cambridge University Press. This book was released on 2021-03-18 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: First of two volumes tracing the development of series and products. Second edition adds extensive material from original works.
Download or read book Near the Horizon An Invitation to Geometric Optics written by Henk W. Broer and published by American Mathematical Soc.. This book was released on 2016-12-31 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: Near the Horizon starts out by considering several optical phenomena that can occur when the sun is near the horizon. One can sometimes see objects that are actually below the horizon. Sometimes there seems to be a dark strip in the middle of the solar disk. These are a result of the way that the atmosphere affects the geometry of light rays. Broer starts his book with the Fermat principle (rays of light take least-time paths) and deduces from it laws for refraction and reflection; by expressing these as conservation laws, he can handle both the case of inhomogeneous layers of air and the case of continuous variation in the refraction index. A surprising application is the brachistochrone problem, in which the path of fastest descent is determined by studying how a light ray would behave in a “flat earth” atmosphere whose refraction index is determined by the gravitational potential. This leads to a very interesting chapter on the cycloid and its properties. The final chapters move from the elementary theory to a more sophisticated version in which the Fermat Principle leads to a Riemannian metric whose geodesics are the paths of light rays. This gives us an optics which is geometric in a new sense, and serves as a nice demonstration of the physical applicability of Riemannian geometry.
Download or read book The Geometry of Celestial Mechanics written by Hansjörg Geiges and published by Cambridge University Press. This book was released on 2016-03-24 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the history of geometric ideas makes it perfect supplementary reading for students in elementary geometry and topology. Numerous exercises, historical notes and an extensive bibliography provide all the contextual information required to gain a solid grounding in celestial mechanics.
Download or read book A History of Mathematical Impossibility written by Jesper Lützen and published by Oxford University Press. This book was released on 2023-01-26 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the most famous results in mathematics are impossibility theorems stating that something cannot be done. Good examples include the quadrature of the circle by ruler and compass, the solution of the quintic equation by radicals, Fermat's last theorem, and the impossibility of proving the parallel postulate from the other axioms of Euclidean geometry. This book tells the history of these and many other impossibility theorems starting with the ancient Greek proof of the incommensurability of the side and the diagonal in a square. Lützen argues that the role of impossibility results have changed over time. At first, they were considered rather unimportant meta-statements concerning mathematics but gradually they obtained the role of important proper mathematical results that can and should be proved. While mathematical impossibility proofs are more rigorous than impossibility arguments in other areas of life, mathematicians have employed great ingenuity to circumvent impossibilities by changing the rules of the game. For example, complex numbers were invented in order to make impossible equations solvable. In this way, impossibilities have been a strong creative force in the development of mathematics, mathematical physics, and social science.
Download or read book Sherlock Holmes in Babylon and Other Tales of Mathematical History written by Marlow Anderson and published by American Mathematical Society. This book was released on 2022-04-26 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering a span of almost 4000 years, from the ancient Babylonians to the eighteenth century, this collection chronicles the enormous changes in mathematical thinking over this time as viewed by distinguished historians of mathematics from the past and the present. Each of the four sections of the book (Ancient Mathematics, Medieval and Renaissance Mathematics, The Seventeenth Century, The Eighteenth Century) is preceded by a Foreword, in which the articles are put into historical context, and followed by an Afterword, in which they are reviewed in the light of current historical scholarship. In more than one case, two articles on the same topic are included to show how knowledge and views about the topic changed over the years. This book will be enjoyed by anyone interested in mathematics and its history - and, in particular, by mathematics teachers at secondary, college, and university levels.
Download or read book The Shaggy Steed of Physics written by David Oliver and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Shaggy Steed is an unassuming figure from Irish folklore who reveals himself as an inspiring teacher of the forces hidden in the universe. This book celebrates an unassuming bit of physics that also turns out to be an inspiring teacher. The two-body problem - the motion of two bodies bound by the inverse-square force of gravity and electricity - is the Shaggy Steed of physics, guiding the reader to an understanding of both the forces and the mathematical beauty hidden in the physical world.
Download or read book Dynamics of Vibro Impact Systems written by Vladimir Babitsky and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: The EUROMECH Colloquium "Dynamics of Vibro-Impact Systems" was held at th th Loughborough University on September 15 _18 , 1998. This was the flrst international meeting on this subject continuing the traditions of the series of Russian meetings held regularly since 1963. Mechanical systems with multiple impact interactions have wide applications in engineering as the most intensive sources of mechanical influence on materials, structures and processes. Vibro-impact systems are used widely in machine dynamics, vibration engineering, and structural mechanics. Analysis of vibro-impact systems involves the investigation of mathematical models with discontinuities and reveals their behaviour as strongly non-linear. Such systems exhibit complex resonances, synchronisation and pulling, bifurcations and chaos, exCitation of space coherent structures, shock waves, and solitons. The aim of the Colloquium was to facilitate the exchange of up-to-date information on the analysis and synthesis of vibro-impact systems as well as on the new developments in excitation, control and applications of vibro-impact processes.
