Classical Dynamics

Author : Jerry B. Marion
Publisher : Academic Press
Page : 593 pages
File Size : 44,7 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483272818

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Classical Dynamics of Particles and Systems by Jerry B. Marion Pdf

Classical Dynamics of Particles and Systems presents a modern and reasonably complete account of the classical mechanics of particles, systems of particles, and rigid bodies for physics students at the advanced undergraduate level. The book aims to present a modern treatment of classical mechanical systems in such a way that the transition to the quantum theory of physics can be made with the least possible difficulty; to acquaint the student with new mathematical techniques and provide sufficient practice in solving problems; and to impart to the student some degree of sophistication in handling both the formalism of the theory and the operational technique of problem solving. Vector methods are developed in the first two chapters and are used throughout the book. Other chapters cover the fundamentals of Newtonian mechanics, the special theory of relativity, gravitational attraction and potentials, oscillatory motion, Lagrangian and Hamiltonian dynamics, central-force motion, two-particle collisions, and the wave equation.

Author : Donald T. Greenwood
Publisher : Courier Corporation
Page : 368 pages
File Size : 40,7 Mb
Release : 2012-05-04
Category : Science
ISBN : 9780486138794

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Classical Dynamics by Donald T. Greenwood Pdf

Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. 1977 edition.

Author : Jorge V. José,Eugene J. Saletan
Publisher : Cambridge University Press
Page : 702 pages
File Size : 54,5 Mb
Release : 1998-08-13
Category : Science
ISBN : 0521636361

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Classical Dynamics by Jorge V. José,Eugene J. Saletan Pdf

A comprehensive graduate-level textbook on classical dynamics with many worked examples and over 200 homework exercises, first published in 1998.

Author : E C G Sudarshan,N Mukunda
Publisher : World Scientific Publishing Company
Page : 612 pages
File Size : 47,6 Mb
Release : 2015-10-08
Category : Science
ISBN : 9789814713894

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Classical Dynamics by E C G Sudarshan,N Mukunda Pdf

Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories. Here, in this book, classical dynamics is treated as a subject on its own as well as a research frontier. Incorporating insights gained over the past several decades, the essential principles of classical dynamics are presented, while demonstrating that a number of key results originally considered only in the context of quantum theory and particle physics, have their foundations in classical dynamics. Graduate students in physics and practicing physicists will welcome the present approach to classical dynamics that encompasses systems of particles, free and interacting fields, and coupled systems. Lie groups and Lie algebras are incorporated at a basic level and are used in describing space-time symmetry groups. There is an extensive discussion on constrained systems, Dirac brackets and their geometrical interpretation. The Lie-algebraic description of dynamical systems is discussed in detail, and Poisson brackets are developed as a realization of Lie brackets. Other topics include treatments of classical spin, elementary relativistic systems in the classical context, irreducible realizations of the Galileo and Poincaré groups, and hydrodynamics as a Galilean field theory. Students will also find that this approach that deals with problems of manifest covariance, the no-interaction theorem in Hamiltonian mechanics and the structure of action-at-a-distance theories provides all the essential preparatory groundwork for a passage to quantum field theory. This reprinting of the original text published in 1974 is a testimony to the vitality of the contents that has remained relevant over nearly half a century.

Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
Page : 530 pages
File Size : 47,8 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9781475720631

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Mathematical Methods of Classical Mechanics by V.I. Arnol'd Pdf

This book constructs the mathematical apparatus of classical mechanics from the beginning, examining basic problems in dynamics like the theory of oscillations and the Hamiltonian formalism. The author emphasizes geometrical considerations and includes phase spaces and flows, vector fields, and Lie groups. Discussion includes qualitative methods of the theory of dynamical systems and of asymptotic methods like averaging and adiabatic invariance.

Author : Donald T. Greenwood
Publisher : Courier Corporation
Page : 372 pages
File Size : 54,5 Mb
Release : 1997-01-01
Category : Science
ISBN : 0486696901

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Classical Dynamics by Donald T. Greenwood Pdf

Graduate-level text provides strong background in more abstract areas of dynamical theory. Hamilton's equations, d'Alembert's principle, Hamilton-Jacobi theory, other topics. Problems and references. 1977 edition.

Author : John R. Taylor
Publisher : Unknown
Page : 128 pages
File Size : 41,5 Mb
Release : 2004-09-15
Category : Science
ISBN : 1891389920

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Classical Mechanics by John R. Taylor Pdf

ClassicalMechanics is intended for students who have studied some mechanics in anintroductory physics course.With unusual clarity, the book covers most of the topics normally found in books at this level.

Author : Gerald Jay Sussman,Jack Wisdom
Publisher : MIT Press
Page : 580 pages
File Size : 54,7 Mb
Release : 2015-02-06
Category : Science
ISBN : 9780262028967

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Structure and Interpretation of Classical Mechanics, second edition by Gerald Jay Sussman,Jack Wisdom Pdf

The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated. This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.

Author : David Morin
Publisher : Cambridge University Press
Page : 713 pages
File Size : 52,6 Mb
Release : 2008-01-10
Category : Science
ISBN : 9781139468374

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Introduction to Classical Mechanics by David Morin Pdf

This textbook covers all the standard introductory topics in classical mechanics, including Newton's laws, oscillations, energy, momentum, angular momentum, planetary motion, and special relativity. It also explores more advanced topics, such as normal modes, the Lagrangian method, gyroscopic motion, fictitious forces, 4-vectors, and general relativity. It contains more than 250 problems with detailed solutions so students can easily check their understanding of the topic. There are also over 350 unworked exercises which are ideal for homework assignments. Password protected solutions are available to instructors at www.cambridge.org/9780521876223. The vast number of problems alone makes it an ideal supplementary text for all levels of undergraduate physics courses in classical mechanics. Remarks are scattered throughout the text, discussing issues that are often glossed over in other textbooks, and it is thoroughly illustrated with more than 600 figures to help demonstrate key concepts.

Author : Ronald A. Mann
Publisher : Academic Press
Page : 310 pages
File Size : 51,6 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483262017

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The Classical Dynamics of Particles by Ronald A. Mann Pdf

The Classical Dynamics of Particles: Galilean and Lorentz Relativity has been designed to serve either as an independent graduate course in dynamics or as a segment of a graduate theoretical physics course. The book begins with a general introduction and a rather extensive discussion of the special theory of relativity, including a section on tachyons. Separate chapters follow on the variational derivation of Lagrangian dynamical equations of charged particle motion and spin angular momentum; variational derivation of Noether's theorem; and canonical formalism and Dirac's extension of Hamiltonian dynamics and treatment of constraints. The ""No-Interaction Theorem"" of Wigner and Van Dam and various efforts to construct a many-particle dynamics compatible with the special theory of relativity are also discussed. The final chapter presents two applications of group theory in classical mechanics: the factorization of the dynamical matrix and the construction of a canonical formalism from a symmetry group. This text is intended for advanced undergraduate or graduate students of physics. It is assumed that the reader has had an undergraduate course in mechanics and the usual undergraduate mathematics preparation including differential equations and matrix theory. Some exposure to elementary tensors and group theory would be helpful but is not essential

Author : David Park
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 52,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642749223

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Classical Dynamics and Its Quantum Analogues by David Park Pdf

The short Heroic Age of physics that started in 1925 was one of the rare occasions when a deep consideration of the question: What does physics really say? was necessary in carrying out numerical calculations. In many parts of microphysics the calculations have now become relatively straightforward if not easy, but most physicists seem to agree that some questions of principle remain to be resolved, even if they do not think it is very important to do so. This situation has affected the way people think and write about quantum mechanics, a gingerly approach to fundamentals and a tendency to emphasize what fifty years ago was new in the new theory at the expense of continuity with what came before it. Nowadays those who look into the subject are more likely to be struck by unexpected similarities between quantum and classical mechanics than by dramatic contrasts they had been led to expect. It is often said that the hardest part of understanding quantum mechanics is to understand that there is nothing to understand; all the same, to think quantum mechanically it helps to have firm mental connections with classical physics and to know exactly what these connections do and do not imply. This book originated more than a decade ago as informal lecture notes [OP, prepared for use in a course taught from time to time to advanced undergraduates at Williams College.

Author : Walter Greiner
Publisher : Springer Science & Business Media
Page : 574 pages
File Size : 46,6 Mb
Release : 2009-11-13
Category : Science
ISBN : 9783642034343

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Classical Mechanics by Walter Greiner Pdf

The series of texts on Classical Theoretical Physics is based on the highly successful courses given by Walter Greiner. The volumes provide a complete survey of classical theoretical physics and an enormous number of worked out examples and problems.

Author : Aydin Tözeren
Publisher : Springer Science & Business Media
Page : 332 pages
File Size : 41,8 Mb
Release : 2006-04-18
Category : Medical
ISBN : 9780387216911

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Human Body Dynamics by Aydin Tözeren Pdf

A quantitative approach to studying human biomechanics, presenting principles of classical mechanics using case studies involving human movement. Vector algebra and vector differentiation are used to describe the motion of objects and 3D motion mechanics are treated in depth. Diagrams and software-created sequences are used to illustrate human movement.

Author : Jerry Baskerville Marion,Stephen T. Thornton
Publisher : Unknown
Page : 638 pages
File Size : 50,5 Mb
Release : 1995
Category : Electronic
ISBN : 0030989671

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Classical Dynamics of Particles and Systems by Jerry Baskerville Marion,Stephen T. Thornton Pdf

This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. The authors make extensive use of vector calculus to explore topics; coverage also includes the Lagrangian formulation of mechanics. Modern notation and terminology are used throughout in support of the text's objective: to facilitate the transition to the quantum theory of physics.

Author : K.S. Rao
Publisher : Universities Press
Page : 366 pages
File Size : 42,6 Mb
Release : 2003
Category : Mechanics
ISBN : 8173714363

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Classical Mechanics by K.S. Rao Pdf