The Elements Of Analytical Mechanics
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Author | : Thomas R. Kane |
Publisher | : Elsevier |
Total Pages | : 267 |
Release | : 2013-10-22 |
Genre | : Science |
ISBN | : 1483274209 |
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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 | : De Volson Wood |
Publisher | : |
Total Pages | : 504 |
Release | : 1876 |
Genre | : Mechanics |
ISBN | : |
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Author | : William Holms Chambers Bartlett |
Publisher | : |
Total Pages | : 466 |
Release | : 1853 |
Genre | : Mechanics, Analytic |
ISBN | : |
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Author | : De Volson Wood |
Publisher | : |
Total Pages | : 472 |
Release | : 1893 |
Genre | : Mechanics |
ISBN | : |
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Author | : De Volson Wood |
Publisher | : |
Total Pages | : 284 |
Release | : 1876 |
Genre | : Mechanics |
ISBN | : |
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Author | : De Volson Wood |
Publisher | : |
Total Pages | : 500 |
Release | : 1884 |
Genre | : Mechanics |
ISBN | : |
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Author | : De Volson Wood |
Publisher | : |
Total Pages | : 0 |
Release | : 1877 |
Genre | : Mechanics |
ISBN | : |
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Author | : Giovanni Gallavotti |
Publisher | : Springer Science & Business Media |
Total Pages | : 586 |
Release | : 2013-04-17 |
Genre | : Science |
ISBN | : 3662007312 |
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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 | : Nivaldo A. Lemos |
Publisher | : Cambridge University Press |
Total Pages | : 475 |
Release | : 2018-08-09 |
Genre | : Science |
ISBN | : 1108416586 |
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An introduction to the basic principles and methods of analytical mechanics, with selected examples of advanced topics and areas of ongoing research.
Author | : Louis N. Hand |
Publisher | : Cambridge University Press |
Total Pages | : 569 |
Release | : 1998-11-13 |
Genre | : Science |
ISBN | : 1139643312 |
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Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.