
Analytical Mechanics
Solutions to Problems in Classical Physics
CRC Press
1st Edition
Published on 26. August 2014
Book
Hardback
456 pages
978-1-4822-3939-3 (ISBN)
Description
Giving students a thorough grounding in basic problems and their solutions, Analytical Mechanics: Solutions to Problems in Classical Physics presents a short theoretical description of the principles and methods of analytical mechanics, followed by solved problems. The authors thoroughly discuss solutions to the problems by taking a comprehensive approach to explore the methods of investigation. They carefully perform the calculations step by step, graphically displaying some solutions via Mathematica (R) 4.0.
This collection of solved problems gives students experience in applying theory (Lagrangian and Hamiltonian formalisms for discrete and continuous systems, Hamilton-Jacobi method, variational calculus, theory of stability, and more) to problems in classical physics. The authors develop some theoretical subjects, so that students can follow solutions to the problems without appealing to other reference sources. This has been done for both discrete and continuous physical systems or, in analytical terms, systems with finite and infinite degrees of freedom. The authors also highlight the basics of vector algebra and vector analysis, in Appendix B. They thoroughly develop and discuss notions like gradient, divergence, curl, and tensor, together with their physical applications.
There are many excellent textbooks dedicated to applied analytical mechanics for both students and their instructors, but this one takes an unusual approach, with a thorough analysis of solutions to the problems and an appropriate choice of applications in various branches of physics. It lays out the similarities and differences between various analytical approaches, and their specific efficiency.
This collection of solved problems gives students experience in applying theory (Lagrangian and Hamiltonian formalisms for discrete and continuous systems, Hamilton-Jacobi method, variational calculus, theory of stability, and more) to problems in classical physics. The authors develop some theoretical subjects, so that students can follow solutions to the problems without appealing to other reference sources. This has been done for both discrete and continuous physical systems or, in analytical terms, systems with finite and infinite degrees of freedom. The authors also highlight the basics of vector algebra and vector analysis, in Appendix B. They thoroughly develop and discuss notions like gradient, divergence, curl, and tensor, together with their physical applications.
There are many excellent textbooks dedicated to applied analytical mechanics for both students and their instructors, but this one takes an unusual approach, with a thorough analysis of solutions to the problems and an appropriate choice of applications in various branches of physics. It lays out the similarities and differences between various analytical approaches, and their specific efficiency.
More details
Language
English
Place of publication
Bosa Roca
United States
Publishing group
Taylor & Francis Inc
Target group
College/higher education
Product notice
sewn/stitched
Cloth over boards
Illustrations
122 s/w Abbildungen, 5 s/w Tabellen
5 Tables, black and white; 122 Illustrations, black and white
Dimensions
Height: 241 mm
Width: 159 mm
Thickness: 27 mm
Weight
776 gr
ISBN-13
978-1-4822-3939-3 (9781482239393)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
08/2014
1st Edition
CRC Press
€125.99
Available for download
Persons
Ioan Merches, Daniel Radu
Content
Fundamentals of Analytical Mechanics. Principles of Analytical Mechanics. The Simple Pendulum Problem. Problems Solved by Means of the Principle of Virtual Work. Problems of Variational Calculus. Fundamentals of Variational Calculus. Problems of Equilibrium and Small Oscillations. Problems of Fluid Mechanics. Appendices. References. Subject Index.