The Mathematics of Gravity. Galileo - Gravity and Acceleration. Newton - The Method of Fluxions. The Mathematics of Principia. Euler - The Equations of Motion. Laplace - Perturbation Theory. Einstein - Relativity and Gravity.
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Contents | clivemabey.me.uk Reviews
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The Mathematics of Gravity. Galileo - Gravity and Acceleration. Newton - The Method of Fluxions. The Mathematics of Principia. Euler - The Equations of Motion. Laplace - Perturbation Theory. Einstein - Relativity and Gravity.
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Introductio
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The aim of such textbooks is persuasive and pedagogical; a concept of science drawn from them is no more likely to fit the enterprise that produced them than an image of national culture drawn from a tourist brochure or a language text (Kuhn 1962). Kuhn, Thomas S. The Structure of Scientific Revolutions. Fourth. Chicago: University of Chicago, 1962.
Newton - The Method of Fluxions
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Newton - The Method of Fluxions. Newton's work on integral and differential calculus is contained in the document The Method of Fluxions and Infinite Series and its Application to the Geometry of Curve-Lines. First published in English translation in 1736 and generally thought to have been written, and given limited distribution, about 70 years earlier. Principia was published, in Latin, in 1687. The relation of the flowing quantities to one another being given, to determine the relation of their fluxions.
Laplace - Perturbation Theory
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Laplace - Perturbation Theory. This page will contain an account of Perturbation Theory as developed by Laplace.
Galileo - Gravity and Acceleration
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Galileo - Gravity and Acceleration. The story of our modern understanding of gravity begins with Galileo (1564 1642). At the dawn of the seventeenth century, the Aristotelian belief, that falling objects acquire a natural velocity proportional to their weight, was the conventional wisdom. If so, heavier objects would reach the ground before lighter ones dropped at the same moment. Galileo took issue with this belief, presenting his argument (Galilei 1638, [106]). Salviati doubts that Aristotle ever teste...
The Mathematics of Principia
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The Mathematics of Principia. Those who have been introduced to universal gravitation, in a modern classroom, will be surprised, upon opening Principia, to find words instead of symbols, prose instead of algebraic formulae, proportions instead of equations and Euclidian geometry instead of a recognisable differential and integral calculus. This is doubly surprising given that all of these ingredients appear in The Method of Fluxions. Which draws on the same well of insight as The Method of Fluxions.
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Contents
The Mathematics of Gravity. Galileo - Gravity and Acceleration. Newton - The Method of Fluxions. The Mathematics of Principia. Euler - The Equations of Motion. Laplace - Perturbation Theory. Einstein - Relativity and Gravity.
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