Excerpt from Newton's Principia: Sections I. II. III., With Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton's Methods
Throughout the Problems and Theorems which depend upon the sixth proposition, the variations have been re placed by equations. By this method oi' treating the subject, now commonly adopted in treatises professing to be versions of these Sections of the Principia, it is believed that clearer ideas of the meaning of each step of the demonstrations are obtained by the student.
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Excerpt from Newton's Principia: Sections I. II. III., With Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton's Methods
Throughout the Problems and Theorems which depend upon the sixth proposition, the variations have been re placed by equations. By this method oi' treating the subject, now commonly adopted in treatises professing to be versions of these Sections of the Principia, it is believed that clearer ideas of the meaning of each step of the demonstrations are obtained by the student.
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Thompson, Tait, and Maxwell, whose works are in everybodys hands, and partly because in the course of reading recommended to students, for whose benefit my work was especially intended, those laws will have been already discussed in the elementary treatises on Dynamics. The Problems are principally selected from the papers set in theM athematical Tripos, and in the course of the College Examinations, and I have generally divided them into two portions, the first of which contains those problems which are capable of solution by more direct applications of the propositions which they illustrate, and are within the powers of a larger number of students In both portions I have been careful to introduce very few problems which are not capable of solution by methods given in the work. At the end of the work I have given hints for the solution, and in many cases complete solutions, of the problems; and in doing so I am acting in direct opposition to my previously expressed opinion, but additional experience of fifteen years has shewn me that it a satisfaction to a student who has not been able to solve a problem to see a solution of it; and, even when he has been successful, to compare his solution with that of an older hand.
(Typographical errors above are due to OCR software and don't occur in the book.)
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Zustand: New. KlappentextrnrnExcerpt from Newton s Principia: Sections I. II. III., With Notes and Illustrations, Also a Collection of Problems Principally Intended as Examples of Newton s MethodsThroughout the Problems and Theorems which depend upon . Bestandsnummer des Verkäufers 2148538414
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781440089619
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781440089619
Anzahl: 15 verfügbar
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Paperback. Zustand: New. Print on Demand. This book introduces Newton's ground-breaking work on the motion of bodies, focusing on the first three sections of the Principia. The author clearly presents the original text, interweaving explanations, demonstrations, and interpretations to illuminate Newton's methods and ideas. The book places Newton's work in its historical context, demonstrating its groundbreaking nature and outlining its enduring significance. It examines key concepts such as the "method of first and ultimate ratios," a precursor to calculus and essential for understanding Newton's approach to motion and change. Delving into the mathematical framework of Newtonian mechanics, the book explores the concepts of quantities, ratios, and limits, providing a solid foundation for understanding Newton's mathematical reasoning. It presents essential principles through a blend of accessible language and geometric representations, guiding readers through Newton's innovative ideas on forces, motion, and gravity. The author's thorough analysis and lucid explanations reveal the depth and precision of Newton's work, showcasing his profound impact on scientific thought. By contextualizing Newton's theories and methods, the book offers a valuable resource for students, scholars, and anyone interested in the history and foundations of classical mechanics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781440089619_0
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