Theoretical Mechanics of Particles and Continua - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theoretical Mechanics of Particles and Continua write by Alexander L. Fetter. This book was released on 2003-12-16. Theoretical Mechanics of Particles and Continua available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theoretical Mechanics of Particles and Continua write by Alexander L. Fetter. This book was released on 2013-12-23. Theoretical Mechanics of Particles and Continua available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Nonlinear Mechanics write by Alexander L. Fetter. This book was released on 2012-05-04. Nonlinear Mechanics available in PDF, EPUB and Kindle. 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 Continuum Mechanics
Classical Continuum Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical Continuum Mechanics write by Karan S. Surana. This book was released on 2022-01-24. Classical Continuum Mechanics available in PDF, EPUB and Kindle. This book provides physical and mathematical foundation as well as complete derivation of the mathematical descriptions and constitutive theories for deformation of solid and fluent continua, both compressible and incompressible with clear distinction between Lagrangian and Eulerian descriptions as well as co- and contra-variant bases. Definitions of co- and contra-variant tensors and tensor calculus are introduced using curvilinear frame and then specialized for Cartesian frame. Both Galilean and non-Galilean coordinate transformations are presented and used in establishing objective tensors and objective rates. Convected time derivatives are derived using the conventional approach as well as non-Galilean transformation and their significance is illustrated in finite deformation of solid continua as well as in the case of fluent continua. Constitutive theories are derived using entropy inequality and representation theorem. Decomposition of total deformation for solid and fluent continua into volumetric and distortional deformation is essential in providing a sound, general and rigorous framework for deriving constitutive theories. Energy methods and the principle of virtual work are demonstrated to be a small isolated subset of the calculus of variations. Differential form of the mathematical models and calculus of variations preclude energy methods and the principle of virtual work. The material in this book is developed from fundamental concepts at very basic level with gradual progression to advanced topics. This book contains core scientific knowledge associated with mathematical concepts and theories for deforming continuous matter to prepare graduate students for fundamental and basic research in engineering and sciences. The book presents detailed and consistent derivations with clarity and is ideal for self-study.
Classical Dynamics of Particles and Systems
Classical Dynamics of Particles and Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical Dynamics of Particles and Systems write by Jerry B. Marion. This book was released on 2013-10-22. Classical Dynamics of Particles and Systems available in PDF, EPUB and Kindle. 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.
