Elements of Analytical Dynamics
Title | Elements of Analytical Dynamics PDF eBook |
Author | Rudolph Kurth |
Publisher | Elsevier |
Pages | 193 |
Release | 2014-07-10 |
Genre | Mathematics |
ISBN | 1483151727 |
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.
Introduction to Analytical Dynamics
Title | Introduction to Analytical Dynamics PDF eBook |
Author | Nicholas Woodhouse |
Publisher | Springer Science & Business Media |
Pages | 240 |
Release | 2009-12-17 |
Genre | Science |
ISBN | 1848828160 |
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.
Elements of Analytical Mechanics
Title | Elements of Analytical Mechanics PDF eBook |
Author | William Holms Chambers Bartlett |
Publisher | |
Pages | 466 |
Release | 1853 |
Genre | Mechanics, Analytic |
ISBN |
Analytical Elements of Mechanics
Title | Analytical Elements of Mechanics PDF eBook |
Author | Thomas R. Kane |
Publisher | Elsevier |
Pages | 267 |
Release | 2013-10-22 |
Genre | Science |
ISBN | 1483274209 |
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.
Elements of Analytical Dynamics
Title | Elements of Analytical Dynamics PDF eBook |
Author | Rudolf Kurth |
Publisher | Pergamon |
Pages | 0 |
Release | 1976 |
Genre | Dynamics |
ISBN | 9780080198644 |
Advanced Analytical Dynamics
Title | Advanced Analytical Dynamics PDF eBook |
Author | Vincent De Sapio |
Publisher | Cambridge University Press |
Pages | 305 |
Release | 2017-02-27 |
Genre | Computers |
ISBN | 1107179602 |
Intended for graduate students, this textbook provides an understanding of the theoretical underpinnings of analytical mechanics, as well as modern task-based approaches that can be exploited for real-world problems. Students will receive a timely perspective on applying theory to modern problems in areas like biomechanics and robotics.
Analytical Mechanics of Space Systems
Title | Analytical Mechanics of Space Systems PDF eBook |
Author | Hanspeter Schaub |
Publisher | AIAA |
Pages | 744 |
Release | 2003 |
Genre | Celestial mechanics |
ISBN | 9781600860270 |