Author: Michael Schmiechen
Publisher: BoD – Books on Demand
ISBN: 3837053083
Category :
Languages : en
Pages : 610
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PROBLEM. The treatise is devoted to the reconstruction of our 'instinctive beliefs' in classical mechanics and to present them 'as much isolated and as free from irrelevant additions as possible'. The same motivation has driven many authors since the publication of Newton's Principia. IMPORTANCE. Classical mechanics will remain the basic reference and tool for mechanics on terrestrial and planetary scale as well as the proto-theory of relativistic and quantum mechanics. But it can only serve its purpose if it is not considered as obsolete, but if its foundations and implications are understood and made 'absolutely' clear. METHOD. Based on the 'instinctive belief' that the foundations of classical mechanics cannot be found and reconstructed within mechanics itself but only 'outside', classical mechanics is 'understood' by embedding it into an adequate theory of knowledge and adequate proto- and meta-theories in terms of the 'language of dynamics'. Evidence is produced that available philosophical expositions are not adequate for the purpose at hand. Mechanics is treated as part of physics, not of mathematics. Not sophisticated mathematical artifacts, necessary for solving specific problems, but the intellectually satisfactory foundation of mechanics in general is subject and purpose of the exercise. The goal is reached using axiomatic systems as models. SCOPE. Following an account of the unsatisfactory state of affairs the treatise covers the epistemological foundations, abstract proto-mechanics, i. e. the theories of time and space, meta-mechanics, i. e. the theories of state space models and of quantities proper, and, as an instance of the latter, abstract elementary mechanics, the theory of translational motions of 'small' solid bodies in three-dimensional Euclidean space, including classical general relativity. Subsequently the theory of classical kinematics is developed as basis for interpreted proto-mechanics and interpreted elementary mechanics. As an amus
Author: Subrahmanyan Chandrasekhar
Publisher: Oxford University Press
ISBN: 019852675X
Category : Celestial mechanics
Languages : en
Pages : 621
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Newton's Philosophiae Naturalis Principia Mathematica provides a coherent and deductive presentation of his discovery of the universal law of gravitation. It is very much more than a demonstration that 'to us it is enough that gravity really does exist and act according to the laws which wehave explained and abundantly serves to account for all the motions of the celestial bodies and the sea'. It is important to us as a model of all mathematical physics.Representing a decade's work from a distinguished physicist, this is the first comprehensive analysis of Newton's Principia without recourse to secondary sources. Professor Chandrasekhar analyses some 150 propositions which form a direct chain leading to Newton's formulation of his universal law ofgravitation. In each case, Newton's proofs are arranged in a linear sequence of equations and arguments, avoiding the need to unravel the necessarily convoluted style of Newton's connected prose. In almost every case, a modern version of the proofs is given to bring into sharp focus the beauty,clarity, and breath-taking economy of Newton's methods.Subrahmanyan Chandrasekhar is one of the most reknowned scientists of the twentieth century, whose career spanned over 60 years. Born in India, educated at the University of Cambridge in England, he served as Emeritus Morton D. Hull Distinguished Service Professor of Theoretical Astrophysics at theUniversity of Chicago, where he has was based from 1937 until his death in 1996. His early research into the evolution of stars is now a cornerstone of modern astrophysics, and earned him the Nobel Prize for Physics in 1983. Later work into gravitational interactions between stars, the properties offluids, magnetic fields, equilibrium ellipsoids, and black holes has earned him awards throughout the world, including the Gold Medal from the Royal Astronomical Society in London (1953), the National Medal of Science in the United States (1966), and the Copley Medal from the Royal Society (1984).His many publications include Radiative transfer (1950), Hydrodynamic and hydromagnetic stability (1961), and The mathematical theory of black holes (1983), each being praised for its breadth and clarity. Newton's Principia for the common reader is the result of Professor Chandrasekhar's profoundadmiration for a scientist whose work he believed is unsurpassed, and unsurpassable.
Author:
Publisher:
ISBN: 9780199930418
Category : Physics
Languages : en
Pages :
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This handbook is currently in development, with individual articles publishing online in advance of print publication. At this time, we cannot add information about unpublished articles in this handbook, however the table of contents will continue to grow as additional articles pass through the review process and are added to the site. Please note that the online publication date for this handbook is the date that the first article in the title was published online. For more information, please read the site FAQs.
Author: I. Bernard Cohen
Publisher:
ISBN: 9780674283602
Category :
Languages : en
Pages : 408
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Author: Margaret J. Osler
Publisher: Cambridge University Press
ISBN: 9780521667906
Category : Science
Languages : en
Pages : 350
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This book challenges the traditional historiography of the Scientific Revolution, probably the single most important unifying concept in the history of science. Usually referring to the period from Copernicus to Newton (roughly 1500 to 1700), the Scientific Revolution is considered to be the central episode in the history of science, the historical moment at which that unique way of looking at the world that we call 'modern science' and its attendant institutions emerged. It has been taken as the terminus a quo of all that followed. Starting with a dialogue between Betty Jo Teeter Dobbs and Richard S. Westfall, whose understanding of the Scientific Revolution differed in important ways, the papers in this volume reconsider canonical figures, their areas of study, and the formation of disciplinary boundaries during this seminal period of European intellectual history.
Author: Alfred North Whitehead
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 628
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Author: Derek Thomas Whiteside
Publisher: University of Glasgow French and German Publications
ISBN:
Category : Biography & Autobiography
Languages : en
Pages : 40
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Author: Alan H. Cook
Publisher: Oxford University Press
ISBN: 9780198500315
Category : Biography & Autobiography
Languages : en
Pages : 584
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Book Description
Edmond Halley (1656-1742), MA, LLD, FRS, Capt. RN, Savillian Professor of Geometry and Astronomer Royal, stands pre-eminent among Oxford, English, and European scientists. A contemporary of Wren, Pepys, Hooke, Handel, Purcell, and Dryden, he was a schoolboy in London while the Great Fireraged, and was an active participant in the Enlightenment, an age of profound developments in all the arts and sciences. As a younger contemporary of Isaac Newton, he had a crucial part in the Newtonian revolution in the natural sciences. It was Halley who set the question that led Newton to writethe Principia, and who edited, paid for, and reviewed it. In later years he applied the methods of the Principia widely in astronomy and geophysics. Now more widely known for his prediction of the return of "his" comet, Halley discovered the proper motion of stars, made important studies of themoon's motion, and his investigations of the Earth's magnetic field and of tides were unrialled for centuries. His prediction of the transit of Venus led to Cook's voyage to Tahiti. He was far more than an cloistered academic; his exploits as a naval captain led to perilous adventures, and he wasalso a notable servant of the State. Much material about his eventful career has come to light in recent years, making this a timely new account of the life, scientific interests, and continuing influence of this engaging and adventurous scholar. Sir Alan Cook has written a fascinating andilluminating account of Halley's life and science, making this a unique and highly readable biography of one of the key figures of his time.
Author: I. Bernard Cohen
Publisher: Cambridge University Press
ISBN: 9780521656962
Category : Biography & Autobiography
Languages : en
Pages : 518
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Book Description
Newton's philosophical analysis of space and time /Robert Disalle --Newton's concepts of force and mass, with notes on the Laws of Motion /I. Bernard Cohen --Curvature in Newton's dynamics /J. Bruce Brackenridge and Michael Nauenberg --Methodology of the Principia /George E. Smith --Newton's argument for universal gravitation /William Harper --Newton and celestial mechanics /Curtis Wilson --Newton's optics and atomism /Alan E. Shapiro --Newton's metaphysics /Howard Stein --Analysis and synthesis in Newton's mathematical work /Niccolò Guicciardini --Newton, active powers, and the mechanical philosophy /Alan Gabbey --Background to Newton's chymistry /William Newman --Newton's alchemy /Karin Figala --Newton on prophecy and the Apocalypse /Maurizio Mamiani --Newton and eighteenth-century Christianity /Scott Mandelbrote --Newton versus Leibniz : from geomentry to metaphysics /A. Rupert Hall --Newton and the Leibniz-Clarke correspondence /Domenico Bertoloni Meli.
Author: Bertrand Russell
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 565
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