A Student S Guide To Analytical Mechanics
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A Student S Guide To Analytical Mechanics
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Author : John L. Bohn
language : en
Publisher: Cambridge University Press
Release Date : 2018-08-30
A Student S Guide To Analytical Mechanics written by John L. Bohn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Science categories.
An accessible guide to analytical mechanics, using intuitive examples to illustrate the underlying mathematics, helping students formulate, solve and interpret problems in mechanics.
A Student S Guide To Analytical Mechanics
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Author : John L. Bohn
language : en
Publisher: Cambridge University Press
Release Date : 2018-08-30
A Student S Guide To Analytical Mechanics written by John L. Bohn and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-30 with Science categories.
Analytical mechanics is a set of mathematical tools used to describe a wide range of physical systems, both in classical mechanics and beyond. It offers a powerful and elegant alternative to Newtonian mechanics; however it can be challenging to learn due to its high degree of mathematical complexity. Designed to offer a more intuitive guide to this abstract topic, this guide explains the mathematical theory underlying analytical mechanics; helping students to formulate, solve and interpret complex problems using these analytical tools. Each chapter begins with an example of a physical system to illustrate the theoretical steps to be developed in that chapter, and ends with a set of exercises to further develop students' understanding. The book presents the fundamentals of the subject in depth before extending the theory to more elaborate systems, and includes a further reading section to ensure that this is an accessible companion to all standard textbooks.
A Student S Guide To Lagrangians And Hamiltonians
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Author : Patrick Hamill
language : en
Publisher: Cambridge University Press
Release Date : 2014
A Student S Guide To Lagrangians And Hamiltonians written by Patrick Hamill and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Mathematics categories.
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Analytical Mechanics
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Author : Antonio Fasano
language : en
Publisher: OUP Oxford
Release Date : 2006-04-06
Analytical Mechanics written by Antonio Fasano and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-06 with Mathematics categories.
Analytical Mechanics is the investigation of motion with the rigorous tools of mathematics, with remarkable applications to many branches of physics (Astronomy, Statistical and Quantum Mechanics, etc.). Rooted in the works of Lagrange, Euler, and Poincaré, it is a classical subject with fascinating developments and still rich with open problems. It addresses such fundamental questions as: Is the solar system stable? Is there a unifying "economy" principle in mechanics? How can a point mass be described as a "wave"? This book was written to fill a gap between elementary expositions and more advanced (and clearly more stimulating) material. It takes the challenge to explain the most relevant ideas and to show the most important applications using plain language and "simple" mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book and when more is required, the new mathematical concepts are illustrated, again in plain language. The book is conceived in such a way that some difficult chapters can be bypassed, whilst still grasping the main ideas. However, anybody wishing to go deeper in some directions will find at least the flavour of recent developments and many bibliographical references. Theory is always accompanied by examples. Many problems are suggested and some are completely worked out at the end of each chapter. The book may effectively be used (and it is in several Italian Universities) for undergraduate as well as for PhD courses in Physics and Mathematics at various levels.
Analytical Mechanics For Students Of Physics And Engineering
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Author : Haroutune Mugurditch Dadourian
language : en
Publisher:
Release Date : 1915
Analytical Mechanics For Students Of Physics And Engineering written by Haroutune Mugurditch Dadourian and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1915 with Mechanics, Analytic categories.
A Student S Guide To Dimensional Analysis
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Author : Don S. Lemons
language : en
Publisher: Cambridge University Press
Release Date : 2017-03-16
A Student S Guide To Dimensional Analysis written by Don S. Lemons and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-16 with Science categories.
This introduction to dimensional analysis covers the methods, history and formalisation of the field. Utilising topics including mechanics, hydro- and electrodynamics, and thermal and quantum physics, it illustrates the possibilities and limitations of dimensional analysis, making it perfect for students on introductory courses in physics, engineering and mathematics.
Analytical Mechanics For Students Of Physics And Engineering
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Author : Haroutune Mugurditch Dadourian
language : en
Publisher: Forgotten Books
Release Date : 2015-06-16
Analytical Mechanics For Students Of Physics And Engineering written by Haroutune Mugurditch Dadourian and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-16 with Science categories.
Excerpt from Analytical Mechanics for Students of Physics and Engineering The following work is based upon a course of lectures and recitations which the author has given, during the last few years, to the Junior class of the Electrical Engineering Department of the Sheffield Scientific School. It has been the author's aim to present the subject in such a manner as to enable the student to acquire a firm grasp of the fundamental principles of Mechanics and to apply them to problems with the minimum amount of mental effort. In other words economy of thought is the goal at which the author has aimed. It should not be understood, however, that the author has been led by the tendency toward reducing text-books to collections of rules, mnemonic forms, and formulæ. Rules and drill methods tend toward the exclusion of reasoning rather than toward efficiency in thinking. The following features of the treatment of the subject may be noted: In order to make the book suitable for the purposes of more than one class of students more special topics are discussed than any one class will probably take up. But these are so arranged as to permit the omission of one or more without breaking the logical continuity of the subject. In deciding on the order of the topics discussed two more or less conflicting factors have been kept before the eye, i.e., to make the treatment logical, yet to introduce as few new concepts at a time as possible. It is to secure the second of these ends, for instance, that the historical order of the development of mechanics is followed by discussing equilibrium before motion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
A Student S Guide To Newton S Laws Of Motion
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Author : Sanjoy Mahajan
language : en
Publisher: Cambridge University Press
Release Date : 2020-06-18
A Student S Guide To Newton S Laws Of Motion written by Sanjoy Mahajan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-18 with Science categories.
Master Newton's laws of motion, the basis of modern science and engineering, with this intuitive and accessible text.
Analytical Mechanics
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Author : Louis N. Hand
language : en
Publisher: Cambridge University Press
Release Date : 1998-11-13
Analytical Mechanics written by Louis N. Hand and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-11-13 with Science categories.
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.
Analytical Mechanics
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Author : John G Papastavridis
language : en
Publisher: World Scientific
Release Date : 2014-03-06
Analytical Mechanics written by John G Papastavridis and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-06 with Mathematics categories.
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated. Contents:IntroductionBackground: Basic Concepts and Equations of Particle and Rigid-Body MechanicsKinematics of Constrained SystemsKinetics of Constrained SystemsImpulsive MotionNonlinear Nonholonomic ConstraintsDifferential Variational Principles, and Associated Generalized Equations of Motion of Nielsen, Tsenov, et al.Time-Integral Theorems and Variational PrinciplesIntroduction to Hamiltonian/Canonical Methods: Equations of Hamilton and Routh; Canonical Formalism Readership: Students and researchers in engineering, physics, and applied mathematics. Key Features:No book of this scope (comprehensiveness and state-of-the-art level) has ever been written, in any language, there are no real competitors. This (like the author's other books) is an entirely original work; several of its topics are based on the author's own research, and appear for the first time in book formReadability (“reader friendliness”) in spite of its advanced levelEconomy of thinking: Unified treatment based on Lagrange's kinetic principle of virtual workSuperior and clear notation: both indicial and direct notations for vectors, Cartesian tensors etc.Self-contained exposition: All background mathematics and mechanics are summarized in the handbook like chapter 1Keywords:Analytical Mechanics;Classical Mechanics;Classical Dynamics;Theoretical Mechanics;Advanced Engineering Dynamics;Applied MechanicsReviews: “A monumental treatise … which is going to become a reference book on the subject … It should not be missed by anybody working in the area of analytical dynamics or only wanting to understand major problems of the subject … This landmark reference source … [is] the most comprehensive exposition available of the advanced engineering-oriented dynamics.” Zentralblatt für Math. “This unique treatise should be part of every scientific library and scholarly collection in engineering science.” IEEE Control Systems Magazine “I recommend without hesitation Prof Papastravridis' treatise as a reference source to be acquired by every library of Mathematics, Physics, or Mechanical/Aeronautical/Electrical Engineering department. It is a different book, especially in our Internet era where instant satisfaction is often the primary (sometimes sole) goal of the student or researcher. Putting together 1392 (!!) pages of carefully prepared text and 172 figures (which then become somehow sparse) represents a major effort, to say the least.” Bulletin of the American Mathematical Society “Recipient of the annual competition award, in engineering, of the Association of American Publishers.” The Outstanding Professional and Scholarly Titles of 2002 (March 2003) “Unique in Contents and Perspective … has no Competition in Depth and Breadth.” Dr George Simitses Professor of Engineering Science, Mechanics, and Aerospace Engineering University of Cincinatti and Georgia Institute of Technology, USA “Probably the best of its kind and likely to become standard reference.” Dr Alex Dalgarno FRS, member of US National Academy of Sciences, and “father of molecular astrophysics” and Phillips Professor of Astronomy, Harvard University, and Harvard-Smithsonian Center for Astrophysics, USA “The reviewer shares the author's statement that this book with its almost 1,400 pages is unique among the comparable treatises in the breadth and the depth of the covered material. Regarding technicalities — the students and the young scientists will find a lot of interesting examples and solved up to their very end problems. I recommend you to read this special book in analytical mechanics. It is a useful tool to undergraduate and graduate students, professors and researchers in the area of applied mechanics, engineering science, and mechanical, aerospace, and structural engineering, as well for the physicists and applied mathematicians.” Journal of Geometry and Symmetry in Physics