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Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua PDF Author: Alexander L. Fetter
Publisher: Courier Corporation
ISBN: 0486432610
Category : Science
Languages : en
Pages : 596

Book Description
This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua PDF Author: Alexander L. Fetter
Publisher: Courier Corporation
ISBN: 0486432610
Category : Science
Languages : en
Pages : 596

Book Description
This two-part text fills what has often been a void in the first-year graduate physics curriculum. Through its examination of particles and continua, it supplies a lucid and self-contained account of classical mechanics — which in turn provides a natural framework for introducing many of the advanced mathematical concepts in physics. The text opens with Newton's laws of motion and systematically develops the dynamics of classical particles, with chapters on basic principles, rotating coordinate systems, lagrangian formalism, small oscillations, dynamics of rigid bodies, and hamiltonian formalism, including a brief discussion of the transition to quantum mechanics. This part of the book also considers examples of the limiting behavior of many particles, facilitating the eventual transition to a continuous medium. The second part deals with classical continua, including chapters on string membranes, sound waves, surface waves on nonviscous fluids, heat conduction, viscous fluids, and elastic media. Each of these self-contained chapters provides the relevant physical background and develops the appropriate mathematical techniques, and problems of varying difficulty appear throughout the text.

Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua PDF Author: Alexander L. Fetter
Publisher: Dover Publications
ISBN: 9780486789217
Category :
Languages : en
Pages : 592

Book Description
Lucid, self-contained account provides natural framework for the introduction of advanced mathematical concepts in physics. Topics include Lagrangian dynamics, Hamiltonian dynamics, fluids and sound and surface waves, more. 1980 edition.

Nonlinear Mechanics

Nonlinear Mechanics PDF Author: Alexander L. Fetter
Publisher: Courier Corporation
ISBN: 048613699X
Category : Science
Languages : en
Pages : 162

Book Description
In their prior Dover book, the authors provided a self-contained account of classical mechanics; this supplement/update offers a bridge to contemporary mechanics. Topics include nonlinear continuous systems. 2006 edition.

Classical Dynamics of Particles and Systems

Classical Dynamics of Particles and Systems PDF Author: Jerry B. Marion
Publisher: Academic Press
ISBN: 1483272818
Category : Science
Languages : en
Pages : 593

Book Description
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.

Relativistic Quantum Physics

Relativistic Quantum Physics PDF Author: Tommy Ohlsson
Publisher: Cambridge University Press
ISBN: 1139504320
Category : Science
Languages : en
Pages : 311

Book Description
Quantum physics and special relativity theory were two of the greatest breakthroughs in physics during the twentieth century and contributed to paradigm shifts in physics. This book combines these two discoveries to provide a complete description of the fundamentals of relativistic quantum physics, guiding the reader effortlessly from relativistic quantum mechanics to basic quantum field theory. The book gives a thorough and detailed treatment of the subject, beginning with the classification of particles, the Klein–Gordon equation and the Dirac equation. It then moves on to the canonical quantization procedure of the Klein–Gordon, Dirac and electromagnetic fields. Classical Yang–Mills theory, the LSZ formalism, perturbation theory, elementary processes in QED are introduced, and regularization, renormalization and radiative corrections are explored. With exercises scattered through the text and problems at the end of most chapters, the book is ideal for advanced undergraduate and graduate students in theoretical physics.

Smooth Particle Applied Mechanics: The State Of The Art

Smooth Particle Applied Mechanics: The State Of The Art PDF Author: William Graham Hoover
Publisher: World Scientific
ISBN: 9814477184
Category : Mathematics
Languages : en
Pages : 315

Book Description
This book takes readers through all the steps necessary for solving hard problems in continuum mechanics with smooth particle methods. Pedagogical problems clarify the generation of initial conditions, the treatment of boundary conditions, the integration of the equations of motion, and the analysis of the results. Particular attention is paid to the parallel computing necessary for large problems and to the graphic displays, including debugging software, required for the efficient completion of computational projects.The book is self-contained, with summaries of classical particle mechanics and continuum mechanics for both fluids and solids, computer languages, the stability of numerical methods, Lyapunov spectra, and message-passing parallel computing. The main difficulties faced by meshless particle methods are discussed and the means of overcoming them are illustrated with worked examples.

A Student's Guide to Lagrangians and Hamiltonians

A Student's Guide to Lagrangians and Hamiltonians PDF Author: Patrick Hamill
Publisher: Cambridge University Press
ISBN: 1107042887
Category : Mathematics
Languages : en
Pages : 185

Book Description
A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.

Solved Problems in Classical Mechanics

Solved Problems in Classical Mechanics PDF Author: O.L. de Lange
Publisher: Oxford University Press
ISBN: 0199582521
Category : Mathematics
Languages : en
Pages : 608

Book Description
simulated motion on a computer screen, and to study the effects of changing parameters. --

Fluid Mechanics and the SPH Method

Fluid Mechanics and the SPH Method PDF Author: Damien Violeau
Publisher: Oxford University Press
ISBN: 0199655529
Category : Science
Languages : en
Pages : 611

Book Description
This book presents the SPH method for fluid modelling from a theoretical and applied viewpoint. It explains the foundations of the method, from physical principles, and will help researchers, students, and engineers to understand how the method should be used and why it works well.

Classical Mechanics

Classical Mechanics PDF Author: Walter Greiner
Publisher: Springer Science & Business Media
ISBN: 3642034349
Category : Science
Languages : en
Pages : 574

Book Description
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.