On a General Method in Dynamics (Classic Reprint) - Softcover

William Rowan Hamilton

 
9781333733247: On a General Method in Dynamics (Classic Reprint)

Synopsis

This book delves into the complex world of theoretical mechanics, exploring the intricate laws governing the motion of bodies. It traces the evolution of this field from the pioneering work of Galileo and Newton to the groundbreaking contributions of Lagrange. Central to the author's exploration is a revolutionary new method for studying the motions of attracting or repelling systems. This method, centered around a single function called the "characteristic function," aims to simplify the mathematical complexities of dynamics. By shifting the focus from integrating numerous equations to analyzing this one function, the author offers a fresh perspective on understanding the forces and movements of bodies. The book delves into the theoretical underpinnings of this method, providing detailed explanations and mathematical derivations. It explores the concept of "varying action," a principle that allows for the analysis of different possible motions of a system. Through meticulous calculations and insightful observations, the author demonstrates the versatility and effectiveness of the characteristic function in solving various dynamical problems. Ultimately, this book challenges conventional approaches to dynamics and presents a novel framework for comprehending the intricate dance of celestial bodies and other physical systems. By unraveling the complexities of motion through the lens of the characteristic function, the author invites readers to appreciate the elegance and power of mathematical reasoning in unlocking the secrets of the universe.

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Other Popular Editions of the Same Title

9780331513141: On a General Method in Dynamics (Classic Reprint)

Featured Edition

ISBN 10:  0331513145 ISBN 13:  9780331513141
Publisher: Forgotten Books, 2018
Hardcover