Analytic Mechanics (Classic Reprint)
Book Details
Author(s)John Anthony Miller
PublisherForgotten Books
ISBN / ASIN1330482174
ISBN-139781330482179
MarketplaceFrance 🇫🇷
Description
Excerpt from Analytic Mechanics
We have attempted to write a rigorous, teachable introduction to the study of mechanics. We believe that certain fundamental principles of mechanics, used in common by students in the various branches of engineering, in theoretical physics, and in celestial mechanics are essential to the satisfactory progress of a student in any of those fields. To this I end, we have chosen as our subject matter only such fundamental theorems. We have not attempted to develop the special methods that are used in some branches of these sciences but not in others, because having fixed the principles on which these methods are based, they are better studied in treatises on those subjects. We have, however, indicated the fields in which certain processes are employed and have told the student where more detailed information can be found.
One purpose of the work is to develop facility in the application of mathematical formulæ to the investigation of physical phenomena. We have observed about the same degree of rigor that is observed in the best modern undergraduate texts in mathematics. We have been careful to state the assumptions that have been made and the conditions which must prevail before a given mathematical process is applicable, and have then proved rigorously the theorems based on the stated conditions.
We have quoted freely the theorems that students who have completed a first course in the calculus are supposed to know. In this sense the book is mathematical.
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.
We have attempted to write a rigorous, teachable introduction to the study of mechanics. We believe that certain fundamental principles of mechanics, used in common by students in the various branches of engineering, in theoretical physics, and in celestial mechanics are essential to the satisfactory progress of a student in any of those fields. To this I end, we have chosen as our subject matter only such fundamental theorems. We have not attempted to develop the special methods that are used in some branches of these sciences but not in others, because having fixed the principles on which these methods are based, they are better studied in treatises on those subjects. We have, however, indicated the fields in which certain processes are employed and have told the student where more detailed information can be found.
One purpose of the work is to develop facility in the application of mathematical formulæ to the investigation of physical phenomena. We have observed about the same degree of rigor that is observed in the best modern undergraduate texts in mathematics. We have been careful to state the assumptions that have been made and the conditions which must prevail before a given mathematical process is applicable, and have then proved rigorously the theorems based on the stated conditions.
We have quoted freely the theorems that students who have completed a first course in the calculus are supposed to know. In this sense the book is mathematical.
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.
