Modern Approach To Classical Mechanics A Second Edition
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Modern Approach To Classical Mechanics A Second Edition
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Author : Harald Iro
language : en
Publisher: World Scientific Publishing Company
Release Date : 2015-08-21
Modern Approach To Classical Mechanics A Second Edition written by Harald Iro and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-21 with Science categories.
In this book we describe the evolution of Classical Mechanics from Newton's laws via Lagrange's and Hamilton's theories with strong emphasis on integrability versus chaotic behavior.In the second edition of the book we have added historical remarks and references to historical sources important in the evolution of classical mechanics.
Modern Approach To Classical Mechanics A Second Edition
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Author : Harald Iro
language : en
Publisher:
Release Date : 2015
Modern Approach To Classical Mechanics A Second Edition written by Harald Iro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Electronic books categories.
Classical Mechanics And Relativity Second Edition
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Author : Harald J W Muller-kirsten
language : en
Publisher: World Scientific
Release Date : 2024-01-30
Classical Mechanics And Relativity Second Edition written by Harald J W Muller-kirsten and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-30 with Science categories.
The text covers the entire domain of basic classical mechanics and relativity theory (special and general) and has been revised mainly for the purpose of adding exercises without worked solutions that were missing in the first edition. To retain the format of a readable, yet advanced introductory text that can serve as the companion text for a course in mechanics, the more than 100 new exercises on diverse topics are of moderate range; answers are given and occasionally hints are provided. As before, the text aims to cover the entire spectrum of theoretical mechanics from Newton to Einstein. The reader can observe how in the course of time, deeper and deeper insights were achieved with the development of the basic equations of Newton to those of Euler and Lagrange, and to the geodesic equations of space-time and Einstein's relativity. To include diverse problems, a small section on this topic has been added.
A Modern Approach To Classical Mechanics
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Author : Harald Iro
language : en
Publisher: World Scientific Publishing Company
Release Date : 2002-12-30
A Modern Approach To Classical Mechanics written by Harald Iro and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-30 with Science categories.
The approach to classical mechanics adopted in this book includes and stresses recent developments in nonlinear dynamical systems. The concepts necessary to formulate and understand chaotic behavior are presented. Besides the conventional topics (such as oscillators, the Kepler problem, spinning tops and the two centers problem) studied in the frame of Newtonian, Lagrangian, and Hamiltonian mechanics, nonintegrable systems (the Hénon-Heiles system, motion in a Coulomb force field together with a homogeneous magnetic field, the restricted three-body problem) are also discussed. The question of the integrability (of planetary motion, for example) leads finally to the KAM-theorem.This book is the result of lectures on 'Classical Mechanics' as the first part of a basic course in Theoretical Physics. These lectures were given by the author to undergraduate students in their second year at the Johannes Kepler University Linz, Austria. The book is also addressed to lecturers in this field and to physicists who want to obtain a new perspective on classical mechanics.
Classical Mechanics Second Edition
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Author : Tai L. Chow
language : en
Publisher: CRC Press
Release Date : 2013-05-01
Classical Mechanics Second Edition written by Tai L. Chow and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-01 with Science categories.
Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands. The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text. The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections.
Geometric Mechanics Part I Dynamics And Symmetry 2nd Edition
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Author : Darryl D Holm
language : en
Publisher: World Scientific Publishing Company
Release Date : 2011-07-13
Geometric Mechanics Part I Dynamics And Symmetry 2nd Edition written by Darryl D Holm and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-13 with Mathematics categories.
See also GEOMETRIC MECHANICS — Part II: Rotating, Translating and Rolling (2nd Edition) This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. It treats the fundamental problems of dynamical systems from the viewpoint of Lie group symmetry in variational principles. The only prerequisites are linear algebra, calculus and some familiarity with Hamilton's principle and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.The ideas and concepts of geometric mechanics are explained in the context of explicit examples. Through these examples, the student develops skills in performing computational manipulations, starting from Fermat's principle, working through the theory of differential forms on manifolds and transferring these ideas to the applications of reduction by symmetry to reveal Lie-Poisson Hamiltonian formulations and momentum maps in physical applications.The many Exercises and Worked Answers in the text enable the student to grasp the essential aspects of the subject. In addition, the modern language and application of differential forms is explained in the context of geometric mechanics, so that the importance of Lie derivatives and their flows is clear. All theorems are stated and proved explicitly.The organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. In particular, the role of Noether's theorem about the implications of Lie group symmetries for conservation laws of dynamical systems has been emphasised throughout, with many applications./a
Classical Mechanics
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Author : Artemio González–López
language : en
Publisher: CRC Press
Release Date : 2025-09-11
Classical Mechanics written by Artemio González–López and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-11 with Mathematics categories.
Classical Mechanics is a textbook for undergraduate students majoring in Physics (or Mathematics and Physics). The book introduces the main ideas and concepts of Newtonian, Lagrangian, and Hamiltonian mechanics, including the basics of rigid body motion and relativistic dynamics, at an intermediate to advanced level. The physical prerequisites are minimal, with a short primer included in the first chapter. As to the mathematical prerequisites, only a working knowledge of linear algebra, basic multivariate calculus, and the rudiments of ordinary differential equations is expected. Features Numerous exercises and examples A focus on mathematical rigor that will appeal to Physics students wanting to specialize in theoretical physics, or Mathematics students interested in math- ematical physics Sufficient material to service either a one- or two-semester course
Analysis Of Complex Nonlinear Mechanical Systems The A Computer Algebra Assisted Approach With Diskette Of Maple Programming
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Author : Martin Lesser
language : en
Publisher: World Scientific Publishing Company
Release Date : 1995-09-20
Analysis Of Complex Nonlinear Mechanical Systems The A Computer Algebra Assisted Approach With Diskette Of Maple Programming written by Martin Lesser and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-09-20 with Science categories.
The book covers the fundamentals of the mechanics of multibody systems, i.e., systems of interconnected rigid bodies. A geometric view is emphasized in which the techniques and algorithms are motivated by the picture of the rigid body system as a point in the multidimensional space of all possible configurations. The reader is introduced to computer algebra methods in the form of a system, called Sophia, which is implemented in the Maple symbolic manipulation system. The first chapter provides a motivational introduction to the basic principles and an introduction to Maple. Kinematics based on the idea of tangent vectors to the configuration manifold sets the stage for dynamical analysis. The latter ranges from the Lagrange and Gibbs-Appell to Kane's equations. Coverage includes nonholonomic systems and redundant variable methods. The computer algebra methods included enable the treatment of nontrivial mechanical systems and the development of efficient numerical codes for simulation.
Modern Quantum Mechanics
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Author : J. J. Sakurai
language : en
Publisher: Cambridge University Press
Release Date : 2017-09-21
Modern Quantum Mechanics written by J. J. Sakurai 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 2017-09-21 with Science categories.
A comprehensive and engaging textbook, providing a graduate-level, non-historical, modern introduction of quantum mechanical concepts.
A Physicist S Guide To Mathematica
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Author : Patrick T. Tam
language : en
Publisher: Academic Press
Release Date : 2011-08-09
A Physicist S Guide To Mathematica written by Patrick T. Tam and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-09 with Mathematics categories.
For the engineering and scientific professional, A Physicist’s Guide to Mathematica, Second Edition provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics. For professors teaching physics and other science courses using the Mathematica software, A Physicist’s Guide to Mathematica, Second Edition is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems. Does not require prior knowledge of Mathematica or computer programming Can be used as either a primary or supplemental text for upper-division physics majors Provides over 450 end-of-section exercises and end-of-chapter problems Serves as a reference suitable for chemists, physical scientists, and engineers Compatible with Mathematica Version 6, a recent major release