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Analytical Mechanics An Introduction

Door Antonio Fasano e.a.

Analytical Mechanics An Introduction
CategorieAlgemeen wetenschap
Boeknummer#353076
TitelAnalytical Mechanics An Introduction
AuteurFasano, Antonio & Stefano Marmi
BoektypePaperback
UitgeverijOxford University Press
Jaar van uitgave2013
ISBN100199673853
ISBN139780199673858
TaalEngels
BeschrijvingPaperback, illustrated with numerous equations, graphs and diagrams, 8vo.
SamenvattingIs the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a point mass be described as a 'wave'? This book offers students an understanding of the most relevant and far reaching results of the theory of Analytical Mechanics, including plenty of examples, exercises, and solved problems. Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics, with remarkable applications to many branches of physics (Astronomy, Statistical and Quantum Mechanics, etc.). Rooted in the works of Lagrange, Euler, and Poincaré, it is a classical subject with fascinating developments and still rich with open problems. It addresses such fundamental questions as: Is the solar system stable? Is there a unifying "economy" principle in mechanics? How can a point mass be described as a "wave"? This book was written to fill a gap between elementary expositions and more advanced (and clearly more stimulating) material. It takes the challenge to explain the most relevant ideas and to show the most important applications using plain language and "simple" mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book and when more is required, the new mathematical concepts are illustrated, again in plain language. The book is conceived in such a way that some difficult chapters can be bypassed, whilst still grasping the main ideas. However, anybody wishing to go deeper in some directions will find at least the flavour of recent developments and many bibliographical references. Theory is always accompanied by examples. Many problems are suggested and some are completely worked out at the end of each chapter. The book may effectively be used (and it is in several Italian Universities) for undergraduate as well as for PhD courses in Physics and Mathematics at various levels.
Pagina's772
ConditieGoed — Front cover creased at bottom right corner.
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