Einstein`s General Theory of Relativity: A Concise Introduction, Brian P. Dolan
Автор: D`inverno, Ray (emeritus Professor, Emeritus Profe Название: Introducing einsteins relativity a deepe ISBN: 0198862032 ISBN-13(EAN): 9780198862031 Издательство: Oxford Academ Рейтинг: Цена: 7602.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This textbook provides students with a sound mathematical introduction coupled with an understanding of the physical insights needed to explore the subject
Автор: Mermin N. David Название: It`s about Time: Understanding Einstein`s Relativity ISBN: 0691218773 ISBN-13(EAN): 9780691218779 Издательство: Wiley Рейтинг: Цена: 2216.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
In It's About Time, N. David Mermin asserts that relativity ought to be an important part of everyone's education--after all, it is largely about time, a subject with which all are familiar. The book reveals that some of our most intuitive notions about time are shockingly wrong, and that the real nature of time discovered by Einstein can be rigorously explained without advanced mathematics. This readable exposition of the nature of time as addressed in Einstein's theory of relativity is accessible to anyone who remembers a little high school algebra and elementary plane geometry.
The book evolved as Mermin taught the subject to diverse groups of undergraduates at Cornell University, none of them science majors, over three and a half decades. Mermin's approach is imaginative, yet accurate and complete. Clear, lively, and informal, the book will appeal to intellectually curious readers of all kinds, including even professional physicists, who will be intrigued by its highly original approach.
Автор: D`inverno, R.a. Название: Introducing einstein`s relativity ISBN: 0198596863 ISBN-13(EAN): 9780198596868 Издательство: Oxford Academ Рейтинг: Цена: 8712.00 р. Наличие на складе: Поставка под заказ.
Описание: Provides students with a mathematical introduction coupled to an understanding of the physical insights needed to explore the subject.
Автор: Rafelski, Johann Название: Relativity matters ISBN: 3319512307 ISBN-13(EAN): 9783319512303 Издательство: Springer Рейтинг: Цена: 10480.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Rafelski presents Special Relativity in a language deemed accessible to students without any topical preparation - avoiding the burden of geometry, tensor calculus, and space-time symmetries - and yet advancing in highly contemporary context all the way to research frontiers.
Автор: D`inverno, Ray (emeritus Professor, Emeritus Professor, University Of Southampton) Vickers, James (emeritus Professor, Emeritus Professor, University Название: Introducing einsteins relativity a deepe ISBN: 0198862024 ISBN-13(EAN): 9780198862024 Издательство: Oxford Academ Рейтинг: Цена: 12672.00 р. Наличие на складе: Поставка под заказ.
Описание: This textbook provides students with a sound mathematical introduction coupled to an understanding of the physical insights needed to explore the subject
This book presents a powerful way to study Einstein's special theory of relativity and its underlying hyperbolic geometry in which analogies with classical results form the right tool. The premise of analogy as a study strategy is to make the unfamiliar familiar. Accordingly, this book introduces the notion of vectors into analytic hyperbolic geometry, where they are called gyrovectors. Gyrovectors turn out to be equivalence classes that add according to the gyroparallelogram law just as vectors are equivalence classes that add according to the parallelogram law. In the gyrolanguage of this book, accordingly, one prefixes a gyro to a classical term to mean the analogous term in hyperbolic geometry. As an example, the relativistic gyrotrigonometry of Einstein's special relativity is developed and employed to the study of the stellar aberration phenomenon in astronomy.
Furthermore, the book presents, for the first time, the relativistic center of mass of an isolated system of noninteracting particles that coincided at some initial time t = 0. It turns out that the invariant mass of the relativistic center of mass of an expanding system (like galaxies) exceeds the sum of the masses of its constituent particles. This excess of mass suggests a viable mechanism for the formation of dark matter in the universe, which has not been detected but is needed to gravitationally "glue" each galaxy in the universe. The discovery of the relativistic center of mass in this book thus demonstrates once again the usefulness of the study of Einstein's special theory of relativity in terms of its underlying hyperbolic geometry.
Описание: I Space Time Motion 1 Measuring-Rods and Clocks 2 Inertial Systems 3 Coordinates and Velocities 3.1 One Inertial System 3.1.1 Space Coordinates 3.1.2 The Problem of Time Measurement 3.1.3 The Relative Velocity 3.2 Two Inertial Systems3.2.1 Coordinate Transformations3.2.2 Composition of Velocities 4 Special Coordinate Transformations4.1 Definition of Simultaneity 4.2 The Linear Transformation Formulae4.3 Composition of Velocities 5 Moving Measuring-Rods and Clocks 5.1 Moving and Stationary Measuring-Rods 5.2 Moving and Stationary Clocks II The Principle of Relativity 6 Einstein's Principle of Relativity Portrait Albert Einstein 7 Elementary Relativity 8 A Metrical Principle of Relativity III Elementary Structure of Classical Spacetime 9 The Physical Postulates of Classical Spacetime 10 Elementary Relativity - The Galilean Transformation IV Elementary Structure of Relativistic Spacetime 11 The Moving Rod is Shortened - The Michelson Experiment Portrait Albert Abraham Michelson Portrait Hendrik Antoon Lorentz 12 The Moving Clock Goes Behind -Einstein's Experimentum Crucis of Special Relativity 12.1 The Light Cock Portrait Emmy Noether 12.2 The General Law of Time Dilatation 13 The Physical Postulates of Relativistic Spacetime 14 Elementary Relativity - The Lorentz Transformation 15 Einstein's Composition Law for Arbitrary Directed Velocities 16 Test Experiments of Special Relativity17 The Linear Approximation of Special Relativity 18 Overview of the Axiomatic Structure of Special Relativity V Entire Theory on One Page VI Newtonian Mechanics 19 The Newtonian Axioms Portrait Isaac Newton 20 Classical Mechanics 21 The Tolman Thought Experiment - The Relativistic Mechanics 21.1 The Relativistic Mass Formula 21.2 The Basic Relativistic Equations of Mechanics VII Einstein's Idea of Energy-Mass Equivalence 22 The Inertia of Energy 23 Einstein's Idea of Energy-Mass Equivalence VIII Relativistic Phenomena and Paradoxes 24 Fresnel's Drag Coefficient 25 A Paradox to the Drag Coefficient 26 Thomas Precession 27 The Measuring-Rod Paradox 28 Doppler Effect28.1 Classical Theory of Doppler Effect 28.1.1 Longitudinal Observation28.1.2 Transversal Observation 28.2 Exact Theory of Doppler Effect 28.2.1 Longitudinal Observation28.2.2 Transversal Observation 29 Aberration 29.1 Aberration in the Particle Picture 29.2 Aberration in the Wave Picture 30 A Paradox for the Aberration of Waves 31 The Twin Paradox 32 The Measuring-Rod Paradox and the Twin Paradox using Non-Conventional Simultaneity 32.1 The Measuring-Rod Paradox 32.2 The Twin Paradox IX Mathematical Formalism of Special Relativity33 The Lorentz Group33.1 The Special Lorentz- Transformation 33.2 The General Lorentz- Transformation 33.3 The General Proper Lorentz- Transformation 33.
Описание: Newton's law of universal gravitation.- The force law of gravitation.- Newton's law of gravitation in local form.- Tidal forces.- The principle of equivalence.- The general principle of relativity.- The covariance principle.- Mach's principle.- The special theory of relativity.- Coordinate systems and Minkowski diagrams.- Synchronization of clocks.- The Doppler effect.- Relativistic time-dilation.- The relativity of simultaneity.- The Lorentz contraction.- The Lorentz transformation.- The Lorentz invariant interval.- The twin paradox.- Hyperbolic motion.- Energy and mass.- Relativistic increase of mass.- Tachyons.- Magnetism as a relativistic second order effect.- Vectors, tensors and forms.- Vectors.- Four-vectors.- Tangent vector fields and coordinate vectors.- Coordinate transformations.- Structure coefficients.- Tensors.- Transformation of tensor components.- Transformation of basis 1-forms.- The metric tensor.- Forms.- Rotating and accelerated reference frames.- Rotating reference frames.- The spatial metric tensor.- Angular acceleration of the rotating frame.- Gravitational time dilation.- Path of photons emitted from the axis in a rotating frame.- The Sagnac effect.- Uniformly accelerated reference frames.- Covariant differentiation.- Differentiation of forms.- Exterior differentiation.- Covariant derivative.- The Christoffel symbols.- Geodetic curves.- The covariant Euler-Lagrange equations.- Application of the Lagrange formalism to free particles.- Equation of motion from Lagrange's equations.- Geodesic worldliness in spacetime.- Gravitational Doppler effect.- The Koszul connection.- Connection coefficients and structure coefficients in a Riemannian (torsion free) space.- Covariant differentiation of vectors, forms and tensors.- Covariant differentiation of a vector field in an arbitrary basis.- Covariant differentiation of forms.- Generalization for tensors of higher rank.- The Cartan connection.- Curvature.- The Riemann curvature tensor.- Differential geometry of surfaces.- Surface curvature using the Cartan formalism.- The Ricci identity.- Bianchi's 1st identity.- Bianchi's 2nd identity.- Einstein's field equations.- Energy-momentum conservation.- Newtonian fluid.- Perfect fluids.- Einstein's curvature tensor.- Einstein's field equations.- The 'geodesic postulate' as a consequence of the field equations.- The Schwarschild spacetime.- Schwarzschild's exterior solution.- Radial free fall in Schwarzschild spacetime.- Light cones in Schwarzschild spacetime.- Analytical extension of the Schwarzschild coordinates.- Embedding of the Schwarzschild metric.- Deceleration of light.- Particle trajectories in Schwarzschild 3-space.- Motion in the equatorial plane.- Classical tests of Einstein's general theory of relativity.- The Hafele-Keating experiment.- Mercury's perihelion precession.- Deflection of light.- Black holes.- 'Surface gravity': gravitational acceleration on the horizon of a black hole.- Hawking radiation: radiation from a black hole.- Rotating black holes: The Kerr metric.- Zero-angular-momentum-observers.- Does the Kerr space have a horizon?.- Schwarzschild's interior solution.- Newtonian incompressible star.- The pressure contribution to the gravitational mass of a static, spherically symmetric system.- The Tolman-Oppenheimer-Volkov equation.- An exact solution for incompressible stars - Schwarzschild's interior solution.- Cosmology.- Comoving coordinate system.- Curvature isotropy - the Robertson-Walker metric.- Cosmic dynamics.- Hubble's law.- Cosmological redshift of light.- Cosmic fluids.- Isotropic and homogeneous universe models.- Some cosmological models.- Radiation dominated model.- Dust dominated model.- Transition from radiation to matter dominated universe.- Friegmann-Lemaоtre model.- Inflationary cosmology.- Problems with the Big Bang models.- Cosmic inflation.
Описание: This richly annotated facsimile edition of "The Foundation of General Relativity" introduces a new generation of readers to Albert Einstein`s theory of gravitation. Written in 1915, this remarkable document is a watershed in the history of physics and an enduring testament to the elegance and precision of Einstein`s thought. Presented here is a bea
Автор: Schucking Engelbert L., Surowitz Eugene J. Название: Einstein`s Apple: Homogeneous Einstein Fields ISBN: 9814630071 ISBN-13(EAN): 9789814630078 Издательство: World Scientific Publishing Рейтинг: Цена: 15840.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We lift a veil of obscurity from a branch of mathematical physics in a straightforward manner that can be understood by motivated and prepared undergraduate students as well as graduate students specializing in relativity. Our book on 'Einstein Fields' clarifies Einstein's very first principle of equivalence (1907) that is the basis of his theory of gravitation. This requires the exploration of homogeneous Riemannian manifolds, a program that was suggested by Elie Cartan in 'Riemannian Geometry in an Orthogonal Frame,' a 2001 World Scientific publication.Einstein's first principle of equivalence, the key to his General Relativity, interprets homogeneous fields of acceleration as gravitational fields. The general theory of these 'Einstein Fields' is given for the first time in our monograph and has never been treated in such exhaustive detail. This study has yielded significant new insights to Einstein's theory. The volume is heavily illustrated and is accessible to well-prepared undergraduate and graduate students as well as the professional physics community.
Автор: Ji?? Bi??k; Tom?? Ledvinka Название: General Relativity, Cosmology and Astrophysics ISBN: 3319380346 ISBN-13(EAN): 9783319380346 Издательство: Springer Рейтинг: Цена: 15672.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The articles included in this Volume represent a broad and highly qualified view on the present state of general relativity, quantum gravity, and their cosmological and astrophysical implications.
Автор: Brian P. Dolan Название: Einstein`s General Theory of Relativity: A Concise Introduction ISBN: 1009263706 ISBN-13(EAN): 9781009263702 Издательство: Cambridge Academ Рейтинг: Цена: 8712.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.
ООО "Логосфера " Тел:+7(495) 980-12-10 www.logobook.ru
