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Author : Derek F. Lawden
Publisher : Courier Corporation
Page : 130 pages
File Size : 47,6 Mb
Release : 2004-01-01
Category : Science
ISBN : 9780486435022
The basic concepts of relativity theory are conveyed through worked and unworked examples in this text, which requires only elementary algebra and emphasizes physical principles and concepts. 1985 edition.
Author : Piotr T. Chruściel
Publisher : Springer Nature
Page : 285 pages
File Size : 46,7 Mb
Release : 2020-03-19
Category : Mathematics
ISBN : 9783030284169
This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.
Author : E. A. Guggenheim
Publisher : Elsevier
Page : 74 pages
File Size : 55,8 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483160016
Elements and Formulae of Special Relativity presents elements and formulas of the theory of special relativity and covers topics ranging from kinematics and propagation of light to mechanics of single bodies, hydrodynamics, and thermodynamics. Vector operators, electromagnetic fields, electrodynamics, and statistical mechanics are also explored. This book is comprised of 13 chapters and begins by introducing the reader to the kinematics of special relativity, paying particular attention to formulas required for transformations between two frames of reference. Attention then turns to the propagation of light, the Doppler effect, the mechanics of single bodies, and the more general and more powerful approach to relativistic mechanics due to Lagrange and to Hamilton. The chapters that follow focus on formulas for a fluid maintained at a constant uniform pressure; relativistic formulas for thermodynamics; and representation of M-vectors with real components by cartesian 4-vectors with imaginary components. This book also considers the equations for an electromagnetic field in a vacuum and a gaseous phase composed of one or several perfect monatomic gases. A brief historical synopsis is given in the last chapter. This monograph will be useful to chemical physicists and other not-too-theoretical physicists.
Author : David M. Wittman
Publisher : Oxford University Press
Page : 323 pages
File Size : 41,9 Mb
Release : 2018
Category : Science
ISBN : 9780199658633
This undergraduate textbook introduces relativity to a non-technical audience. The "thinking tools" approach allows readers to understand at a much deeper level than popular treatments, and end-of-chapter problems (always lacking in popular books) help build and cement that understanding.--
Author : E. A. Guggenheim
Publisher : Pergamon
Page : 0 pages
File Size : 50,6 Mb
Release : 1967
Category : Electronic
ISBN : 008012643X
Author : Swapan Kumar Barman
Publisher : Unknown
Page : 86 pages
File Size : 44,5 Mb
Release : 2021-01-04
Category : Electronic
ISBN : 9354720978
The Special Theory of Relativity is one of the revolutionary theories of 20th-century Physics. This book is primarily intended for students of physical science and mathematics at the undergraduate level and the author attempts to make clear the conceptual difficulties that they usually face in their first learning of the subject. A little bit of the historical development of the theory and contributions of a number of scientists in this course is presented in short. General readers with a background and curiosity in science may also find the book interesting if they like to set aside the mathematical complexities.
Author : Carles Bona,Carlos Palenzuela-Luque,Carles Bona-Casas
Publisher : Springer Science & Business Media
Page : 226 pages
File Size : 41,6 Mb
Release : 2009-07-24
Category : Science
ISBN : 9783642011634
Many large-scale projects for detecting gravitational radiation are currently being developed, all with the aim of opening a new window onto the observable Universe. As a result, numerical relativity has recently become a major field of research, and Elements of Numerical Relativity and Relativistic Hydrodynamics is a valuable primer for both graduate students and non-specialist researchers wishing to enter the field. A revised and significantly enlarged edition of LNP 673 Elements of Numerical Relativity, this book starts with the most basic insights and aspects of numerical relativity before it develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism; gauge, initial, and boundary conditions; and various numerical algorithms. And in addition to many revisions, it includes new, convenient damping terms for numerical implementations, a presentation of the recently-developed harmonic formalism, and an extensive, new chapter on matter space-times, containing a thorough introduction to relativistic hydrodynamics. While proper reference is given to advanced applications requiring large computational resources, most tests and applications in this book can be performed on a standard PC.
Author : Moshe Carmeli
Publisher : World Scientific Publishing Company
Page : 151 pages
File Size : 55,7 Mb
Release : 2006-10-09
Category : Science
ISBN : 9789813106840
The theory presented in this book is a combination of Einstein's original special and general relativity, but now the starting point is not the propagation of light but the expansion of the Universe. The traditional Hubble constant H0 (which is not constant) is called in this book the Hubble parameter. Its value at low gravity is denoted by h, and its reciprocal is denoted by τ. Thus τ is the Big Bang time (some authors call it the Hubble-Carmeli constant). This is actually the only constant that appears in this theory, just as c is the only constant that appears in Einstein's theory. There is no cosmological constant but there is a critical mass density. The theory presents general relativity in the space-velocity (of the receding galaxies) which is later on extended to include the time dimension. So far all experimental findings are satisfied by this theory.
Author : Øyvind Grøn,Arne Næss
Publisher : Springer Science & Business Media
Page : 351 pages
File Size : 50,9 Mb
Release : 2011-08-30
Category : Science
ISBN : 9781461407065
This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions are given, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goal of this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects.
Author : Alfred A. Robb
Publisher : Cambridge University Press
Page : 93 pages
File Size : 51,8 Mb
Release : 2016-02-04
Category : Science
ISBN : 9781107536807
Originally published in 1921, this book presents a concise study of time and space relations by the renowned British physicist Alfred Robb (1873-1936). The text is one of a series of works on the topic of special relativity written by Robb from 1911 onwards. An appendix section is included. This book will be of value to anyone with an interest in special relativity, the development of physics and the history of science.
Author : José Tiberius
Publisher : Molwick
Page : 176 pages
File Size : 52,6 Mb
Release : 2017-11-01
Category : Science
ISBN : 9788415328810
The Theory of Relativity is one of the most complex in the history of science. Together with Darwin’s theory, it is also one of the most controversial, despite the number of experiments that have supposedly confirmed it. Some aspects are conventionally consistent; for example, as it is currently defined, time is relative. However, it does not make much sense the official definition of the unit of time is sensitive to the gravitational field or speed; since it would have been logical to establish it, including these two specific conditions, as it does with temperature and others. This book analyzes the basic concepts: • Maxwell's equations and the Lorentz transformations –3D Pitagoras theorem, the principles of Poincaré, and interpretations of the Michelson-Morley experiment as immediate antecedents of relativistic physics. • Ad hoc postulates of Einstein's relativity, or better said axioms! • The unusual terminology of the theory: thought experiments, observer as a reference frame, inertial and non-inertial frames, and many more. • The Euclidean space and the types in Einstein’s theory as the geometry of Minkowsky and Riemann. • Concept of inertial, gravitational, and relativistic mass. • The weakness of the twin paradox in Special Relativity. • Principle of equivalence incorporating gravity with General Relativity. Since it only explains 5% of the energy-mass of the observable universe and its peculiar characteristics, it belongs to the books of Global Metaphysics.
Author : Pedro G. Ferreira
Publisher : HMH
Page : 309 pages
File Size : 48,7 Mb
Release : 2014-02-04
Category : Science
ISBN : 9780547554907
“One of the best popular accounts of how Einstein and his followers have been trying to explain the universe for decades” (Kirkus Reviews, starred review). Physicists have been exploring, debating, and questioning the general theory of relativity ever since Albert Einstein first presented it in 1915. This has driven their work to unveil the universe’s surprising secrets even further, and many believe more wonders remain hidden within the theory’s tangle of equations, waiting to be exposed. In this sweeping narrative of science and culture, an astrophysicist brings general relativity to life through the story of the brilliant physicists, mathematicians, and astronomers who have taken up its challenge. For these scientists, the theory has been both a treasure trove and an enigma. Einstein’s theory, which explains the relationships among gravity, space, and time, is possibly the most perfect intellectual achievement of modern physics—yet studying it has always been a controversial endeavor. Relativists were the target of persecution in Hitler’s Germany, hounded in Stalin’s Russia, and disdained in 1950s America. Even today, PhD students are warned that specializing in general relativity will make them unemployable. Still, general relativity has flourished, delivering key insights into our understanding of the origin of time and the evolution of all the stars and galaxies in the cosmos. Its adherents have revealed what lies at the farthest reaches of the universe, shed light on the smallest scales of existence, and explained how the fabric of reality emerges. Dark matter, dark energy, black holes, and string theory are all progeny of Einstein’s theory. In the midst of a momentous transformation in modern physics, as scientists look farther and more clearly into space than ever before, The Perfect Theory exposes the greater relevance of general relativity, showing us where it started, where it has led—and where it can still take us.
Author : C. W. Kilmister
Publisher : Elsevier
Page : 376 pages
File Size : 47,9 Mb
Release : 2013-10-22
Category : Science
ISBN : 9781483154657
General Theory of Relativity deals with the general theory of relativity and covers topics ranging from the principle of equivalence and the space-theory of matter to the hypotheses which lie at the bases of geometry, along with the effect of gravitation on the propagation of light. The motion of particles in general relativity theory is also discussed. This book is comprised of 14 chapters and begins with a review of the principle of equivalence, paying particular attention to the question of the existence of inertial frames in Newtonian mechanics. The beginnings and foundations of general relativity are then considered, together with modern developments in the field. Subsequent chapters explore the general notion of multiply extended magnitudes; the space-theory of matter; the effect of gravitation on light propagation; gravitational waves and the motion of particles in general relativity theory; and homogeneity and covariance. An invariant formulation of gravitational radiation theory is also presented. The last three chapters examine continued gravitational contraction, a spinor approach to general relativity, and gravitational red-shift in nuclear resonance. This monograph will be of interest to physicists and mathematicians.
Author : C. W. Kilmister
Publisher : Cambridge University Press
Page : 270 pages
File Size : 43,6 Mb
Release : 1994
Category : Biography & Autobiography
ISBN : 9780521371650
This 1995 book describes the development of theoretical physics in the first half of this century from the viewpoint of the astrophysicist Arthur Eddington.
Author : Arthur Stanley Eddington
Publisher : Franklin Classics
Page : 236 pages
File Size : 45,7 Mb
Release : 2018-10-07
Category : Electronic
ISBN : 0341721530
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