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Author: Rudolph Kurth
Publisher: Elsevier
ISBN: 1483151727
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.
Author: Rudolph Kurth
Publisher: Elsevier
ISBN: 1483151727
Category : Mathematics
Languages : en
Pages : 193
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Book Description
Elements of Analytical Dynamics deals with dynamics, which studies the relationship between motion of material bodies and the forces acting on them. This book is a compilation of lectures given by the author at the Georgia and Institute of Technology and formed a part of a course in Topological Dynamics. The book begins by discussing the notions of space and time and their basic properties. It then discusses the Hamilton-Jacobi theory and Hamilton's principle and first integrals. The text concludes with a discussion on Jacobi's geometric interpretation of conservative systems. This book will be of direct use to graduate students of Mathematics with minimal background in Theoretical Mechanics.
Author: Nicholas Woodhouse
Publisher: Springer Science & Business Media
ISBN: 1848828160
Category : Science
Languages : en
Pages : 240
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Book Description
First published in 1987, this text offers concise but clear explanations and derivations to give readers a confident grasp of the chain of argument that leads from Newton’s laws through Lagrange’s equations and Hamilton’s principle, to Hamilton’s equations and canonical transformations. This new edition has been extensively revised and updated to include: A chapter on symplectic geometry and the geometric interpretation of some of the coordinate calculations. A more systematic treatment of the conections with the phase-plane analysis of ODEs; and an improved treatment of Euler angles. A greater emphasis on the links to special relativity and quantum theory showing how ideas from this classical subject link into contemporary areas of mathematics and theoretical physics. A wealth of examples show the subject in action and a range of exercises – with solutions – are provided to help test understanding.
Author: William Holms Chambers Bartlett
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 466
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Book Description
Author: Rudolf Kurth
Publisher: Pergamon
ISBN: 9780080198644
Category : Dynamics
Languages : en
Pages : 0
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Book Description
Author: Thomas R. Kane
Publisher: Elsevier
ISBN: 1483274209
Category : Science
Languages : en
Pages : 267
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Book Description
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: Leonard Meirovitch
Publisher: Courier Corporation
ISBN: 0486137597
Category : Technology & Engineering
Languages : en
Pages : 544
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Book Description
Encompassing formalism and structure in analytical dynamics, this graduate-level text discusses fundamentals of Newtonian and analytical mechanics, rigid body dynamics, problems in celestial mechanics and spacecraft dynamics, more. 1970 edition.
Author: Hanspeter Schaub
Publisher: AIAA
ISBN: 9781600860270
Category : Celestial mechanics
Languages : en
Pages : 744
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Book Description
Author: Peter Smith Michie
Publisher:
ISBN:
Category : Mechanics, Analytic
Languages : en
Pages : 406
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Book Description
Author: De Volson Wood
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 284
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Book Description
Author: De Volson Wood
Publisher:
ISBN:
Category : Mechanics
Languages : en
Pages : 504
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Book Description
