solved problems in classical mechanics analytical and numerical solutions with comments

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Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 9780199582525
Genre : Mathematics
File Size : 35. 86 MB
Format : PDF
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simulated motion on a computer screen, and to study the effects of changing parameters. --

Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 0199582513
Genre : Science
File Size : 65. 98 MB
Format : PDF, ePub, Mobi
Download : 161
Read : 991

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This book consists of questions, solutions and comments on topics in undergraduate and graduate courses in classical mechanics. Both analytical and numerical (computer) techniques are used to obtain and analyze solutions. Computer calculations use Mathematica, with code provided in the text, including that for interactive, time-dependent studies.

Solved Problems In Classical Mechanics

Author : O.L. de Lange
ISBN : 9780199582525
Genre : Science
File Size : 78. 12 MB
Format : PDF, Docs
Download : 450
Read : 431

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This book consists of questions, solutions and comments on topics in undergraduate and graduate courses in classical mechanics. Both analytical and numerical (computer) techniques are used to obtain and analyze solutions. Computer calculations use Mathematica, with code provided in the text, including that for interactive, time-dependent studies.

Solved Problems In Lagrangian And Hamiltonian Mechanics

Author : Claude Gignoux
ISBN : 9048123933
Genre : Science
File Size : 79. 30 MB
Format : PDF
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The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader. This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.

Elementary Mechanics Using Python

Author : Anders Malthe-Sorenssen
ISBN : 9783319195964
Genre : Science
File Size : 66. 99 MB
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This book – specifically developed as a novel textbook on elementary classical mechanics – shows how analytical and numerical methods can be seamlessly integrated to solve physics problems. This approach allows students to solve more advanced and applied problems at an earlier stage and equips them to deal with real-world examples well beyond the typical special cases treated in standard textbooks. Another advantage of this approach is that students are brought closer to the way physics is actually discovered and applied, as they are introduced right from the start to a more exploratory way of understanding phenomena and of developing their physical concepts. While not a requirement, it is advantageous for the reader to have some prior knowledge of scientific programming with a scripting-type language. This edition of the book uses Python, and a chapter devoted to the basics of scientific programming with Python is included. A parallel edition using Matlab instead of Python is also available. Last but not least, each chapter is accompanied by an extensive set of course-tested exercises and solutions.

Analytical Mechanics

Author : Ioan Merches
ISBN : 9781482239409
Genre : Science
File Size : 77. 9 MB
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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® 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.

Advanced Dynamics

Author : Dan B. Marghitu
ISBN : 9781461434757
Genre : Technology & Engineering
File Size : 39. 41 MB
Format : PDF, ePub, Mobi
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Advanced Dynamics: Analytical and Numerical Calculations with MATLAB provides a thorough, rigorous presentation of kinematics and dynamics while using MATLAB as an integrated tool to solve problems. Topics presented are explained thoroughly and directly,allowing fundamental principles to emerge through applications from areas such as multibody systems, robotics, spacecraft and design of complex mechanical devices. This book differs from others in that it uses symbolic MATLAB for both theory and applications. Special attention is given to solutions that are solved analytically and numerically using MATLAB. The illustrations and figures generated with MATLAB reinforce visual learning while an abundance of examples offer additional support.

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