Theoretical Mechanics of Particles and Continua

Theoretical Mechanics of Particles and Continua

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2003-12-16

Total Pages: 596

ISBN-13: 0486432610

DOWNLOAD EBOOK

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.


Nonlinear Mechanics

Nonlinear Mechanics

Author: Alexander L. Fetter

Publisher: Courier Corporation

Published: 2012-05-04

Total Pages: 162

ISBN-13: 048613699X

DOWNLOAD EBOOK

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.


A Student's Guide to Lagrangians and Hamiltonians

A Student's Guide to Lagrangians and Hamiltonians

Author: Patrick Hamill

Publisher: Cambridge University Press

Published: 2014

Total Pages: 185

ISBN-13: 1107042887

DOWNLOAD EBOOK

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


Classical Dynamics of Particles and Systems

Classical Dynamics of Particles and Systems

Author: Jerry B. Marion

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 593

ISBN-13: 1483272818

DOWNLOAD EBOOK

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

Author: Tommy Ohlsson

Publisher: Cambridge University Press

Published: 2011-09-22

Total Pages: 311

ISBN-13: 1139504320

DOWNLOAD EBOOK

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.


Variational Principles in Classical Mechanics

Variational Principles in Classical Mechanics

Author: Douglas Cline

Publisher:

Published: 2017-08

Total Pages: 565

ISBN-13: 9780998837253

DOWNLOAD EBOOK

Two dramatically different philosophical approaches to classical mechanics were developed during the 17th - 18th centuries. Newton developed his vectorial formulation that uses time-dependent differential equations of motion to relate vector observables like force and rate of change of momentum. Euler, Lagrange, Hamilton, and Jacobi, developed powerful alternative variational formulations based on the assumption that nature follows the principle of least action. These powerful variational formulations have become the preeminent philosophical approach used in modern science, was well as having applications to other fields such as economics and engineering.This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. A brief review of Newtonian mechanics compares and contrasts the relative merits of the intuitive Newtonian vectorial formulation, with the more powerful analytical variational formulations. Applications presented cover a wide variety of topics, as well as extensions to accommodate relativistic mechanics, and quantum theory.


Classical Mechanics

Classical Mechanics

Author: Walter Greiner

Publisher: Springer Science & Business Media

Published: 2009-11-13

Total Pages: 574

ISBN-13: 3642034349

DOWNLOAD EBOOK

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.


Geometric Mechanics and Symmetry

Geometric Mechanics and Symmetry

Author: Darryl D. Holm

Publisher: Oxford University Press

Published: 2009-07-30

Total Pages: 537

ISBN-13: 0199212902

DOWNLOAD EBOOK

A graduate level text based partly on lectures in geometry, mechanics, and symmetry given at Imperial College London, this book links traditional classical mechanics texts and advanced modern mathematical treatments of the subject.


Problems and Solutions on Mechanics

Problems and Solutions on Mechanics

Author: Yung-kuo Lim

Publisher: World Scientific

Published: 1994

Total Pages: 776

ISBN-13: 9789810212988

DOWNLOAD EBOOK

Newtonian mechanics : dynamics of a point mass (1001-1108) - Dynamics of a system of point masses (1109-1144) - Dynamics of rigid bodies (1145-1223) - Dynamics of deformable bodies (1224-1272) - Analytical mechanics : Lagrange's equations (2001-2027) - Small oscillations (2028-2067) - Hamilton's canonical equations (2068-2084) - Special relativity (3001-3054).