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| Additional Physical Format: | Online version: Crowe, Michael J. Mechanics from Aristotle to Einstein. Santa Fe, N.M. : Green Lion Press, c2007 (OCoLC)714835366 |
|---|---|
| Material Type: | Internet resource |
| Document Type: | Book, Internet Resource |
| All Authors / Contributors: |
Michael J Crowe |
| ISBN: | 9781888009323 1888009322 |
| OCLC Number: | 190850886 |
| Description: | xxii, 331 p. : ill. ; 26 cm. |
| Contents: | The Green Lion's preface -- Mechanics before Galileo -- Introduction : What is mechanics? -- Some key questions dealt with in mechanics -- Mechanics in antiquity -- Aristotle -- Aristotle on place, motion, and void -- Mechanics in later antiquity -- Medieval mechanics -- The Mertonians, Oresme, and the mean speed theorem -- Summary -- Two major problems in early modern mechanics -- The problem of the possibility of the Earth's motion -- The problem of the relativity of motion -- Galileo and terrestrial mechanics -- Chronology of Galileo's life -- Does a falling body's weight influence its rate of fall? -- Galileo on weight and rate of fall -- Galileo on accelerated motion and free fall -- Third day : on local motion -- Third day : on naturally accelerated motion -- Galileo, the law of inertia, and projectile motion -- Galileo on inertial motion -- Galileo's mathematical treatment of projectile motion -- Fourth day : on the motion of projectiles -- Projectile motion in general -- Galileo on the maximum range of a projectile. From Galileo to Newton -- William Gilbert (1544-1603) -- Johannes Kepler (1571-1630) -- René Descartes (1596-1650) -- Descartes, Principles of Philosophy, pp. 54-66 -- Christiaan Huygens (1629-1695) -- Huygens and the law of centripetal acceleration -- Huygens and the theory of collisions -- Selection from Huygens, On Colliding Bodies -- Newton and mechanics -- Chronology of the life of Sir Isaac Newton -- Background : the period before Newton -- The prehistory of Newton's Principia -- Newton during the 1660s -- Application of the law of centripetal acceleration to the Moon -- The relationships among the inverse square law, Kepler's third law, and the law of centripetal acceleration -- Newton from 1670 to 1680, especially his correspondence with Robert Hooke -- Newton, Flamsteed, and the comet of 1680-1681 -- Newton from 1684-1687 -- Newton's Principia -- Isaac Newton, Principia -- Newton's preface to the reader. Definition 1 -- Commentary on definition 1 -- Definition 2 -- Commentary on definition 2 -- Definition 3 -- Commentary on definition 3-- Definition 4 -- Commentary on definition 4 -- Definitions 5-8 -- Commentary on definitions 5-8 -- Introductory comment on Newton's Scholium -- Laws of motion : law 1 -- Commentary on law 1 -- Laws of motion : law 2 -- Commentary on law 2 : the force law -- Notes on gravitational versus inertial mass -- Corollaries to the laws of motion -- Commentary on Newton's corollaries -- Principia, book 1 : on the motion of bodies -- Section 1 : The method of first and ultimate ratios -- Commentary on Newton's lemmas -- Section 2 : The finding of centripetal forces -- Book 1 proposition 1 -- Commentary on proposition 1 -- Corollaries to proposition 1.1 -- Commentary of the remaining sections of Book 1 -- Principia, book 3 : on the system of the world -- Newton's preface to Book 3 -- Rules of philosophizing -- Commentary of Newton's "rules of philosophizing" -- Phenomenon 1 -- Commentary on phenomenon 1 -- Phenomenon 2-4 -- Commentary of phenomenon 4 -- Phenomena 5-6 -- Book 3 propositions 1-4 -- Commentary on proposition 4 -- Book 3 propositions 5-8. Commentary of Book 3 from phenomenon 1 to proposition 8 -- Book 3 proposition 8 corollaries -- Book 3 propositions 9-13 -- Commentary on Book 3 : propositions 9-42 -- General Scholium -- Commentary on Newton's general Scholium -- The hypothetico-deductive method -- Preliminary logical discussion -- Can either deduction or induction be claimed as the sole scientific method? -- The hypothetico-deductive method -- Huygens and the HD method -- Advantages and problems of the HD method -- Newton and the hypothetico-deductive method -- Newton's correspondence with Bentley -- Letter 1 -- Letter 2 -- Letter 3 -- Letter 4 -- The Leibniz-Clarke correspondence -- Mr. Leibniz's first paper -- Dr. Clarke's first reply -- Mr. Leibniz's second paper -- Dr. Clarke's second reply -- Mr; Leibniz's third paper -- Dr. Clarke's third reply -- Newton, Voltaire, and Cartesiansim -- Some quotations concerning Newton -- Between Newton and Einstein -- The eighteenth and nineteenth centuries -- Mechanics in the seventeenth century -- Mechanics from Newton to Einstein -- Heat theory and the concept of energy -- Electricity and magnetism -- Light : particle or pulse? -- Field theory -- The Michelson-Morley experiment -- Mathematical background -- The Michelson-Morley experiment -- The Lorentz-FitzGerald contraction. Einstein and relativity theory -- Chronology of the life of Albert Einstein -- The special theory of relativity-- Tensions between Newtonian mechanics and Maxwellian electromagnetic theory -- Einstein on "inner perfection" and "external confirmation" -- Einstein's two postulates and a derivation of the special theory of relativity -- Tim dilation -- Summary -- The twin paradox -- Four dimensions -- Derivation of the equation E = mc² -- The general theory of relativity -- The three classic tests of the general theory of relativity-- Comment on Mach, Planck, and Einstein -- Concluding comment -- Appendix : Galileo laboratory -- Experiment 1 -- Experiment 2 -- Experiment 3 -- Experiment 4 -- In general -- Galileo -- Descartes. Newton -- General works -- Newton's Principia and some commentaries on it -- Newton's three laws of motion -- Newton and philosophy -- Newton and religion -- Newton and alchemy -- Other valuable studies relevant to Newton -- Newtonian sites and memorabilia, etc. -- Some disciples or opponents of Newton, the period after Newton, and the influence of Newton -- Mechanics between Newton and Einstein -- Einstein. |
| Responsibility: | Michael J. Crowe. |
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