[PDF] The Elements Of Analytical Mechanics eBook

Author : Thomas R. Kane
Publisher : Elsevier
Page : 267 pages
File Size : 42,25 MB
Release : 2013-10-22
Category : Science
ISBN : 1483274209

GET BOOK

Analytical Elements of Mechanics, Volume 1, is the first of two volumes intended for use in courses in classical mechanics. The books aim to provide students and teachers with a text consistent in content and format with the author’s ideas regarding the subject matter and teaching of mechanics, and to disseminate these ideas. The book opens with a detailed exposition of vector algebra, and no prior knowledge of this subject is required. This is followed by a chapter on the topic of mass centers, which is presented as a logical extension of concepts introduced in connection with centroids. A theory of moments and couples is constructed without reference to forces, these being mentioned only in illustrative examples. This is done because it eventually becomes necessary to apply the theory to systems of vectors which are not forces, such as momenta and impulses. Equilibrium is discussed in the final chapter, preceded by extended examination of the concept of force.

Author : Giovanni Gallavotti
Publisher : Springer Science & Business Media
Page : 586 pages
File Size : 33,18 MB
Release : 2013-04-17
Category : Science
ISBN : 3662007312

GET BOOK

The word "elements" in the title of this book does not convey the implica tion that its contents are "elementary" in the sense of "easy": it mainly means that no prerequisites are required, with the exception of some basic background in classical physics and calculus. It also signifies "devoted to the foundations". In fact, the arguments chosen are all very classical, and the formal or technical developments of this century are absent, as well as a detailed treatment of such problems as the theory of the planetary motions and other very concrete mechanical problems. This second meaning, however, is the result of the necessity of finishing this work in a reasonable amount of time rather than an a priori choice. Therefore a detailed review of the "few" results of ergodic theory, of the "many" results of statistical mechanics, of the classical theory of fields (elasticity and waves), and of quantum mechanics are also totally absent; they could constitute the subject of two additional volumes on mechanics. This book grew out of several courses on meccanica razionaie, i.e., essentially, theoretical mechanics, which I gave at the University of Rome during the years 1975-1978.

Author : Antonio Fasano
Publisher : Oxford University Press on Demand
Page : 788 pages
File Size : 24,66 MB
Release : 2006-04-06
Category : Mathematics
ISBN : 0198508026

GET BOOK

Is the solar system stable? Is there a unifying 'economy' principle in mechanics? How can a pointmass 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.

Author : Nivaldo A. Lemos
Publisher : Cambridge University Press
Page : 475 pages
File Size : 42,64 MB
Release : 2018-08-09
Category : Science
ISBN : 1108416586

GET BOOK

An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.