Download or read book Essential Dynamics and Relativity written by Peter J. O’Donnell and published by CRC Press. This book was released on 2014-11-24 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Dynamics & Relativity provides students with an introduction to the core aspects of dynamics and special relativity. The author reiterates important ideas and terms throughout and covers concepts that are often missing from other textbooks at this level. He also places each topic within the wider constructs of the theory, without jumping from topic to topic to illustrate a point. The first section of the book focuses on dynamics, discussing the basic aspects of single particle motion and analyzing the motion of multi-particle systems. The book also explains the dynamical behavior of both composite bodies (rigid bodies) and objects in non-inertial frames of reference (rotating reference frames). The second section concentrates on relativity. The author describes the ideas leading to the inception of special relativity. He also formulates fundamental aspects, such as time dilation, length contraction, Lorentz transformations, and the visual aids of Minkowski diagrams, necessary to develop more sophisticated ideas. He then develops the concepts within the context of relativistic mechanics. With many examples throughout and exercises at the end of each chapter, this text makes the often daunting and confusing ideas of dynamics and special relativity accessible to undergraduate students studying the subjects for the first time.
Download or read book Essential Dynamics and Relativity written by Peter J. O'Donnell and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: DYNAMICS The Galileo-Newton Formulation of Dynamics Galilean relativity Newton's dynamical laws Gravitational and inertial mass Particle Dynamics in One Dimension Motion of a particle under a force Potential energy diagrams Tension Friction Resistive motion Escape velocity Oscillations Hooke's law Simple harmonic motion Period of small oscillations Damped simple harmonic motion Damped simple harmonic motion with a forcing term The LCR circuit Particle Dynamics in Two and Three Dimensions Projectiles Energy and force Charged particles in an electromagnetic field Central Forces and Orbits Centra.
Download or read book Essential Physics I written by Frank W K Firk and published by Orange Grove Texts Plus. This book was released on 2009-09-24 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Essential Physics 1, is an intensive introduction to classical and special relativity, Newtonian dynamics and gravitation, Einsteinian dynamics and gravitation, and wave motion. Mathematical methods are discussed, as needed; they include: elements of
Download or read book Shape Dynamics written by Flavio Mercati and published by Oxford University Press. This book was released on 2018-03-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook on the nature of space and time explains the new theory of Space Dynamics, which describes the dynamics of gravity as the evolution of conformal 3-dimensional geometry. Shape Dynamics is equivalent to Einstein's General Relativity in those situations in which the latter has been tested experimentally, but the theory is based on different first principles. It differs from General Relativity in certain extreme conditions. Shape Dynamics allows us to describe situations in which the spacetime picture is no longer adequate, such as in the presence of singularities, when the idealization of infinitesimal rods measuring scales and infinitesimal clocks measuring proper time fails. This tutorial book contains both a quick introduction for readers curious about Shape Dynamics, and a detailed walk-through of the historical and conceptual motivations for the theory, its logical development from first principles and a description of its present status. It includes an explanation of the origin of the theory, starting from problems posed first by Newton more than 300 years ago. The book will interest scientists from a large community including all foundational fields of physics, from quantum gravity to cosmology and quantum foundations, as well as researchers interested in foundations. The tutorial is sufficiently self-contained for students with some basic background in Lagrangian/Hamiltonian mechanics and General Relativity.
Download or read book General Relativistic Dynamics written by Fred I. Cooperstock and published by World Scientific. This book was released on 2009 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings Einstein's general relativity into action in new ways at scales ranging from the tiny Planck scale to the scale of immense galactic clusters. It presents the case that Einstein's theory of gravity can describe the observed dynamics of galaxies without invoking the unknown OC dark matterOCO required in models based on Newtonian gravity. Drawing on the author's experience as a lecturer and on his own research, the book covers the essentials of Einstein's special and general relativity at a level accessible to undergraduate students. The early chapters provide a compact introduction to relativity for readers who have little or no background in the subject. Hermann Bondi's very transparent approach to special relativity is expanded to resolve the OC twin paradoxOCO using only elementary mathematics. In later chapters, general relativity is used to extend the concept of the Planck scale, to address the role of the cosmological term and to analyze the concept of OC time machinesOCO.
Download or read book Constrained Dynamics written by K. Sundermeyer and published by . This book was released on 2014-01-15 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Essential Relativity written by W. Rindler and published by Springer Science & Business Media. This book was released on 1977-05-05 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic cosmology has in recent years become one of the most exciting and active branches of current research. In conference after conference the view is expressed that cosmology today is where particle physics was forty years ago, with major discoveries just waiting to happen. Also gravitational wave detectors, presently under construction or in the testing phase, promise to open up an entirely novel field of physics. The book's basic purpose is to make relativity come alive conceptually. Hence the emphasis on the foundations and the logical subtleties rather than on the mathematics or the detailed experiments per se.
Download or read book Dynamics and Relativity written by W. D. McComb and published by Oxford University Press on Demand. This book was released on 1999 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamics and Relativity provides undergraduates in physics with an unusually accessible introduction to special relativity by emphasizing the connections between relativity and classical mechanics. The book begins by developing classical mechanics in a form that the author calls "Galilean Relativity," which emphasizes frames of reference. The author shows how a problem formulated in one frame of reference can then solved in another where the problem takes a simpler form. After applying this strategy to a number of classical problems, the author discusses the limitations of Galilean Relativity, particularly for handling Maxwell's equations, and then proceeds to develop Special Relativity while drawing extensively on the groundwork from the previous chapters. The book stresses conservation laws throughout and includes a final chapter that briefly outlines General Relativity.
Download or read book Classical Relativistic Many Body Dynamics written by M.A. Trump and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: in this work, we must therefore assume several abstract concepts that hardly need defending at this point in the history of mechanics. Most notably, these include the concept of the point particle and the concept of the inertial observer. The study of the relativistic particle system is undertaken here by means of a particular classical theory, which also exists on the quantum level, and which is especially suited to the many-body system in flat spacetime. In its fundamental postulates, the theory may be consid ered to be primarily the work of E.C.G. Stiickelberg in the 1940's, and of L.P. Horwitz and C. Piron in the 1970's, who may be said to have provided the generalization of Stiickelberg's theory to the many-body system. The references for these works may be found in Chapter 1. The theory itself may be legitimately called off-shell Hamiltonian dynamics, parameterized relativistic mechanics, or even classical event dynamics. The most important feature of the theory is probably the use of an invariant world time parameter, usually denoted T, which provides an evolution time for the system in such as way as to allow manifest co variance within a Hamiltonian formalism. In general, this parameter is neither a Lorentz-frame time, nor the proper time of the particles in the system.
Download or read book The Monte Carlo Methods written by Abdo Abou Jaoudé and published by BoD – Books on Demand. This book was released on 2022-03-09 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: In applied mathematics, the name Monte Carlo is given to the method of solving problems by means of experiments with random numbers. This name, after the casino at Monaco, was first applied around 1944 to the method of solving deterministic problems by reformulating them in terms of a problem with random elements, which could then be solved by large-scale sampling. But, by extension, the term has come to mean any simulation that uses random numbers. Monte Carlo methods have become among the most fundamental techniques of simulation in modern science. This book is an illustration of the use of Monte Carlo methods applied to solve specific problems in mathematics, engineering, physics, statistics, and science in general.
Download or read book Simultaneous Systems of Differential Equations and Multi Dimensional Vibrations written by Luis Manuel Braga da Costa Campos and published by CRC Press. This book was released on 2019-11-05 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simultaneous Differential Equations and Multi-Dimensional Vibrations is the fourth book within Ordinary Differential Equations with Applications to Trajectories and Vibrations, Six-volume Set. As a set, they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This fourth book consists of two chapters (chapters 7 and 8 of the set). The first chapter concerns simultaneous systems of ordinary differential equations and focuses mostly on the cases that have a matrix of characteristic polynomials, namely linear systems with constant or homogeneous power coefficients. The method of the matrix of characteristic polynomials also applies to simultaneous systems of linear finite difference equations with constant coefficients. The second chapter considers linear multi-dimensional oscillators with any number of degrees of freedom including damping, forcing, and multiple resonance. The discrete oscillators may be extended from a finite number of degrees-of-freedom to infinite chains. The continuous oscillators correspond to waves in homogeneous or inhomogeneous media, including elastic, acoustic, electromagnetic, and water surface waves. The combination of propagation and dissipation leads to the equations of mathematical physics. Presents simultaneous systems of ordinary differential equations and their elimination for a single ordinary differential equation Includes cases with a matrix of characteristic polynomials, including simultaneous systems of linear differential and finite difference equations with constant coefficients Covers multi-dimensional oscillators with damping and forcing, including modal decomposition, natural frequencies and coordinates, and multiple resonance Discusses waves in inhomogeneous media, such as elastic, electromagnetic, acoustic, and water waves Includes solutions of partial differential equations of mathematical physics by separation of variables leading to ordinary differential equations
Download or read book Essentials Of Quantum Mechanics And Relativity written by Shangwu Qian and published by World Scientific. This book was released on 2020-10-21 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics and relativity are two important topics of modern physics. This book serves as an introduction to the essential topics in the fields. It is suitable for a one-semester course for undergraduate students.The book is concise and the discussions are easy to follow. Interested students can also used this as a study guide for self-learning.
Download or read book Exploring the Contributions of Women in the History of Philosophy Science and Literature Throughout Time written by Chelsea C. Harry and published by Springer Nature. This book was released on 2023-11-01 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores contributions by some of the most influential women in the history of philosophy, science, and literature. Ranging from Sappho and Sophie Germain to Stebbing and Evelyn Fox Keller, this work ultimately demonstrates the impact these non-canonical, sometimes unknown or hidden, sources had, or may have had, on the recognized male leaders in their fields, from Aristotle to Pascal, Kant, Whitehead, and Russell. Chapters reflect philosophical pluralism, both analytic and continental themes, and cover figures reaching across the entire history of ideas in the West, from pre-historic times to the twentieth century. Anyone interested in coming to know or in preparing to teach women in the history of philosophy, science, and literature will appreciate this collection and its myriad insights into the still unrecognized voices of non-canonical sources across these disciplines.
Download or read book General Relativistic Dynamics written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Mechanics and General Relativity written by Joel Franklin and published by Cambridge University Press. This book was released on 2010-07-08 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates with background knowledge of classical mechanics and electricity and magnetism, this textbook presents both the particle dynamics relevant to general relativity, and the field dynamics necessary to understand the theory. Focusing on action extremization, the book develops the structure and predictions of general relativity by analogy with familiar physical systems. Topics ranging from classical field theory to minimal surfaces and relativistic strings are covered in a homogeneous manner. Nearly 150 exercises and numerous examples throughout the textbook enable students to test their understanding of the material covered. A tensor manipulation package to help students overcome the computational challenge associated with general relativity is available on a site hosted by the author. A link to this and to a solutions manual can be found at www.cambridge.org/9780521762458.
Download or read book The Classical Dynamics of Particles written by Ronald A. Mann and published by Academic Press. This book was released on 2013-10-22 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Classical Dynamics of Particles: Galilean and Lorentz Relativity has been designed to serve either as an independent graduate course in dynamics or as a segment of a graduate theoretical physics course. The book begins with a general introduction and a rather extensive discussion of the special theory of relativity, including a section on tachyons. Separate chapters follow on the variational derivation of Lagrangian dynamical equations of charged particle motion and spin angular momentum; variational derivation of Noether's theorem; and canonical formalism and Dirac's extension of Hamiltonian dynamics and treatment of constraints. The ""No-Interaction Theorem"" of Wigner and Van Dam and various efforts to construct a many-particle dynamics compatible with the special theory of relativity are also discussed. The final chapter presents two applications of group theory in classical mechanics: the factorization of the dynamical matrix and the construction of a canonical formalism from a symmetry group. This text is intended for advanced undergraduate or graduate students of physics. It is assumed that the reader has had an undergraduate course in mechanics and the usual undergraduate mathematics preparation including differential equations and matrix theory. Some exposure to elementary tensors and group theory would be helpful but is not essential
Download or read book Essential Relativity written by Wolfgang Rindler and published by Springer. This book was released on 1969 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to bring the full range of relativity theory within reach of advanced undergraduates, while containing enough new material and simplifications of old arguments so as not to bore the expert teacher. Roughly equal coverage is given tospecial relativity, general relativity, and cosmology. With many judicious omissions it can be taught in one semester, but it would better serve as the basis of a year's work. It is my hope, anyway, that its level and style of presentation may appeal also to wider c1asses of readers unrestricted by credit considerations. General relativity, the modern theory of gravitation in which free particles move along 'straightest possible' lines in curved spacetime, and cosmology, with its dynamics for the whole possibly curved uni verse, not only seem necessary for a scientist's balanced view of the world, but offer some of the greatest intellectual thrills of modern physics. Nevertheless, considered luxuries, they are usu ally squeezed out of the graduate curriculum by the pressure of specialization. Special relativity escapes this tag with a ven geance, and tends to be taught as a pure service discipline, with too little emphasis on its startling ideas. What better time, there fore, to enjoy these subjects for their own sake than as an und- v vi PREFACE graduate? In spite of its forbidding mathematical reputation, even general relativity is accessible at that stage.
