Download classical dynamicsa modern perspective in pdf or read classical dynamicsa modern perspective in pdf online books in PDF, EPUB and Mobi Format. Click Download or Read Online button to get classical dynamicsa modern perspective in pdf book now. This site is like a library, Use search box in the widget to get ebook that you want.



Classical Dynamics

Author: E C G Sudarshan
Publisher: World Scientific Publishing Company
ISBN: 9814713899
Size: 59.34 MB
Format: PDF, ePub, Mobi
View: 5274
Download and Read
Classical dynamics is traditionally treated as an early stage in the development of physics, a stage that has long been superseded by more ambitious theories.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.

Classical Mechanics

Author: John Robert Taylor
Publisher: University Science Books
ISBN: 9781891389221
Size: 37.95 MB
Format: PDF, ePub, Docs
View: 2612
Download and Read
'Classical Mechanics' is intended for students who have studied some mechanics in an introductory physics course. A particular highlight is the chapter on chaos, which focuses on a few simple systems to give truly comprehensible coverage.

Classical Mechanics

Author: R. N. TIWARI
Publisher: PHI Learning Pvt. Ltd.
ISBN: 8120331265
Size: 60.70 MB
Format: PDF, Docs
View: 6267
Download and Read
Intended as a text for postgraduate students of mathematics, this compact and well-organized book offers insights into the principles of classical mechanics and, in particular, deals with the problems of dynamical systems. Divided into seven chapters, the text begins with a discussion on some elementary results of statics and dynamics. It then goes on to analyze at length the Hamiltonian formulation along with the Poisson bracket, the variational principle (taking Euler’s equation of calculus of variation as the base), and different forms of the variational principle. Finally, the text explains the integral invariants, canonical transformations, and the Hamilton–Jacobi theory. KEY FEATURES • A fairly large number of worked-out examples are interspersed throughout the text to illustrate the application of the concepts to the problems discussed. • Miscellaneous Exercises are given at the end of the book to drill the students in self-study. • The text entirely covers UGC model curriculum for M.Sc. (Mathematics).

Fundamental Principles Of Classical Mechanics

Author: Kai S Lam
Publisher: World Scientific Publishing Company
ISBN: 9814551503
Size: 48.44 MB
Format: PDF
View: 570
Download and Read
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).

Classical Mechanics

Author: Jan Awrejcewicz
Publisher: Springer Science & Business Media
ISBN: 1461437911
Size: 37.26 MB
Format: PDF, Kindle
View: 3932
Download and Read
This is the first volume of three, devoted to Mechanics. This book contains classical mechanics problems including kinematics and statics. It is recommended as a supplementary textbook for undergraduate and graduate students from mechanical and civil engineering, as well as for physical scientists and engineers. It contains a basic introduction to classical mechanics, including fundamental principles, statics, and the geometry of masses, as well as thorough discussion on kinematics.

A Modern Approach To Classical Mechanics

Author: Harald Iro
Publisher: World Scientific
ISBN: 9789812382139
Size: 46.24 MB
Format: PDF, Mobi
View: 3002
Download and Read
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 H‚non-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.

Fundamental Principles Of Classical Mechanics

Author: Kai Shue Lam
Publisher: World Scientific Publishing Company Incorporated
ISBN: 9789814551489
Size: 19.38 MB
Format: PDF, Mobi
View: 6301
Download and Read
This book is written with the belief that classical mechanics, as a theoretical discipline, possesses an inherent beauty, depth, and richness that far transcends its immediate applications in mechanical systems. These properties are manifested, by and large, through the coherence and elegance of the mathematical structure underlying the discipline, and are eminently worthy of being communicated to physics students at the earliest stage possible. This volume is therefore addressed mainly to advanced undergraduate and beginning graduate physics students who are interested in the application of modern mathematical methods in classical mechanics, in particular, those derived from the fields of topology and differential geometry, and also to the occasional mathematics student who is interested in important physics applications of these areas of mathematics. Its main purpose is to offer an introductory and broad glimpse of the majestic edifice of the mathematical theory of classical dynamics, not only in the time-honored analytical tradition of Newton, Laplace, Lagrange, Hamilton, Jacobi, and Whittaker, but also the more topological/geometrical one established by Poincare, and enriched by Birkhoff, Lyapunov, Smale, Siegel, Kolmogorov, Arnold, and Moser (as well as many others).