Analytic Hyperbolic Geometry and Albert Einstein`s Special Theory of Relativity: Second Edition, Abraham Albert Ungar
Старое издание
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: Jeroen van Dongen Название: Einstein`s Unification ISBN: 1108703038 ISBN-13(EAN): 9781108703031 Издательство: Cambridge Academ Рейтинг: Цена: 6019.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Shedding new light on Einstein`s later work, this book explores Einstein`s belief that he could find a unified theory of all of nature`s forces by repeating the methods he used when formulating general relativity. This book will interest physicists, historians and philosophers of science.
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 is devoted to researchers who would like to investigate interactions among gravitational waves and matter fields beyond linear order, including the phenomena of memory effects, gravitational Faraday rotation, soft theorems, and formations of spacetime singularities due to the mutual focus of gravitational waves. Readers only require a basic understanding of general relativity to understand the materials.
The book starts with an overview on the fundamentals of the Newman-Penrose formalism and a brief introduction to distribution theory, with which the author systematically develops a mathematical description of spacetimes of colliding plane waves. Then, the author presents a frame-independent definition of polarization of a plane gravitational wave in a curved spacetime, studies in detail the gravitational Faraday rotation of two plane gravitational waves, and shows that each of them can serve as a medium to the other precisely due to their nonlinear interactions. Exact solutions are also presented, which represent a variety of models including the collisions of two plane gravitational waves and the collisions of a plane gravitational wave with a dust shell, a massless scalar wave, an electromagnetic wave, or a neutrino wave. The formation of spacetime singularities due to nonlinear interactions and the effects of gravitational wave polarization on the nature of singularities are also explored.
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.
Автор: Tatsuo Nishitani Название: Hyperbolic Systems with Analytic Coefficients ISBN: 3319022725 ISBN-13(EAN): 9783319022727 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: With regard to sufficient conditions for (B), we introduce hyperbolic systems with nondegenerate characteristics, which contain strictly hyperbolic systems, and prove that the Cauchy problem for hyperbolic systems with nondegenerate characteristics is well posed for any lower order term.
Автор: Crelinsten Jeffrey Название: Einstein`s Jury: The Race to Test Relativity ISBN: 0691171076 ISBN-13(EAN): 9780691171074 Издательство: Wiley Рейтинг: Цена: 4435.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Einstein's Jury is the dramatic story of how astronomers in Germany, England, and America competed to test Einstein's developing theory of relativity. Weaving a rich narrative based on extensive archival research, Jeffrey Crelinsten shows how these early scientific debates shaped cultural attitudes we hold today.
The book examines Einstein's theory of general relativity through the eyes of astronomers, many of whom were not convinced of the legitimacy of Einstein's startling breakthrough. These were individuals with international reputations to uphold and benefactors and shareholders to please, yet few of them understood the new theory coming from the pen of Germany's up-and-coming theoretical physicist, Albert Einstein. Some tried to test his theory early in its development but got no results. Others--through toil and hardship, great expense, and perseverance--concluded that it was wrong.
A tale of international competition and intrigue, Einstein's Jury brims with detail gleaned from Crelinsten's far-reaching inquiry into the history and development of relativity. Crelinsten concludes that the well-known British eclipse expedition of 1919 that made Einstein famous had less to do with the scientific acceptance of his theory than with his burgeoning public fame. It was not until the 1920s, when the center of gravity of astronomy and physics shifted from Europe to America, that the work of prestigious American observatories legitimized Einstein's work. As Crelinsten so expertly shows, the glow that now surrounds the famous scientist had its beginnings in these early debates among professional scientists working in the glare of the public spotlight.
On their 100th anniversary, the story of the extraordinary scientific expeditions that ushered in the era of relativity
In 1919, British scientists led extraordinary expeditions to Brazil and Africa to test Albert Einstein's revolutionary new theory of general relativity in what became the century's most celebrated scientific experiment. The result ushered in a new era and made Einstein a global celebrity by confirming his dramatic prediction that the path of light rays would be bent by gravity. Today, Einstein's theory is scientific fact. Yet the effort to "weigh light" by measuring the gravitational deflection of starlight during the May 29, 1919, solar eclipse has become clouded by myth and skepticism. Could Arthur Eddington and Frank Dyson have gotten the results they claimed? Did the pacifist Eddington falsify evidence to foster peace after a horrific war by validating the theory of a German antiwar campaigner? In No Shadow of a Doubt, Daniel Kennefick provides definitive answers by offering the most comprehensive and authoritative account of how expedition scientists overcame war, bad weather, and equipment problems to make the experiment a triumphant success.
The reader follows Eddington on his voyage to Africa through his letters home, and delves with Dyson into how the complex experiment was accomplished, through his notes. Other characters include Howard Grubb, the brilliant Irishman who made the instruments; William Campbell, the American astronomer who confirmed the result; and Erwin Findlay-Freundlich, the German whose attempts to perform the test in Crimea were foiled by clouds and his arrest.
By chronicling the expeditions and their enormous impact in greater detail than ever before, No Shadow of a Doubt reveals a story that is even richer and more exciting than previously known.
Автор: Grosche Christian Название: Path Integrals, Hyperbolic Spaces and Selberg Trace Formulae ISBN: 9814460079 ISBN-13(EAN): 9789814460071 Издательство: World Scientific Publishing Рейтинг: Цена: 19800.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: In this second edition, a comprehensive review is given for path integration in two- and three-dimensional (homogeneous) spaces of constant and non-constant curvature, including an enumeration of all the corresponding coordinate systems which allow separation of variables in the Hamiltonian and in the path integral. The corresponding path integral solutions are presented as a tabulation. Proposals concerning interbasis expansions for spheroidal coordinate systems are also given. In particular, the cases of non-constant curvature Darboux spaces are new in this edition.The volume also contains results on the numerical study of the properties of several integrable billiard systems in compact domains (i.e. rectangles, parallelepipeds, circles and spheres) in two- and three-dimensional flat and hyperbolic spaces. In particular, the discussions of integrable billiards in circles and spheres (flat and hyperbolic spaces) and in three dimensions are new in comparison to the first edition.In addition, an overview is presented on some recent achievements in the theory of the Selberg trace formula on Riemann surfaces, its super generalization, their use in mathematical physics and string theory, and some further results derived from the Selberg (super-) trace formula.
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.
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