Book Discription: This is a three volume book on the history of astronomy and the development of mathematics to solve the problems of planetary motion as observed from the earth from the time of ancient Greece to Isaac Newton in the 17th century. It shows how the ancient Greek mathematicians used propositions from Euclid, Archimedes, Aristarchus, and Ptolemy to determine how an earth centered universe worked. Several chapters explain how Ptolemy developed a table of chords and arcs and invented trigonometry and spherical trigonometry. Then the book discusses the details of the Copernican system of a sun centered universe published in 1543, the data of Tycho Brahe, and how Kepler, using Tycho Brahe's data, discovered the theory of the elliptical orbits for the planets. The work of Gallileo on the acceleration of gravity, the pendulum, and projectiles is discussed and demonstrated. The details of Gallileo's experiments and methods, and how he supported the Copernican system is given. The last chapters are a description of the work of Isaac Newton and the development of the infinitesimal calculus, and how Newton used calculus to describe his laws of motion and universal gravitation. Descriptions of the work of Newton's contemporaries, Descartes, Barrow and Wallis are given, and how their work influenced Newton. A detailed mathematical discussion of how Newton's laws led to a demonstration of why the planets can orbit in ellipses. The book contains numerous geometrical drawings and demonstrations used by these mathematicians. In addition the modern notations used in algebra, analytic geometry, and calculus are presented so the reader can see and compare the modern expressions of mathematics to the way the earlier mathematicians expressed their work. The arguments in the book are developed so any reader with a high school education can follow the arguments and demonstrations. The goal of the book is to encourage readers to read the great classics of Euclid, Archimedes, Apollonius, Ptolemy, Copernicus, Kepler, Gallileo and Newton by giving a basic understanding of these works.

This is an EXACT reproduction of a book published before 1923. This IS NOT an OCR'd book with strange characters, introduced typographical errors, and jumbled words. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!

This scarce antiquarian book is a selection from Kessinger Publishing's Legacy Reprint Series. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment to protecting, preserving, and promoting the world's literature. Kessinger Publishing is the place to find hundreds of thousands of rare and hard-to-find books with something of interest for everyone!