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Books > Science & Mathematics > Physics > Relativity physics > General

The Meaning of Relativity (Hardcover): Albert Einstein The Meaning of Relativity (Hardcover)
Albert Einstein
R2,902 Discovery Miles 29 020 Ships in 12 - 17 working days

The world would be a very different place if it were not for Albert Einstein. Like Newton and Galileo before him, this remarkable scientist changed forever mankind's understanding of the universe. In 1921, five years after proclaiming his general theory of relativity, Einstein was awarded the Nobel Prize for Physics in recognition of his remarkable achievements. In the same year he travelled to the United States to give four lectures that consolidated his theory and sought to explain its meaning to a new audience. These lectures were published the following year as The Meaning of Relativity, which he revised with each new edition until his death. It remains a key work for anyone wishing to discover at first hand the workings of one of the most inspiring minds of the twentieth century.

General Relativity - The Theoretical Minimum (Hardcover): Leonard. Susskind, Andre Cabannes General Relativity - The Theoretical Minimum (Hardcover)
Leonard. Susskind, Andre Cabannes
R607 Discovery Miles 6 070 In Stock

The latest volume in The New York Times bestselling physics series explains Einstein's masterpiece- the general theory of relativity He taught us classical mechanics, quantum mechanics and special relativity. Now, physicist Leonard Susskind, assisted by a new collaborator, Andre Cabannes, returns to tackle Einstein's general theory of relativity. Starting from the equivalence principle and covering the necessary mathematics of Riemannian spaces and tensor calculus, Susskind and Cabannes explain the link between gravity and geometry. They delve into black holes, establish Einstein field equations and solve them to describe gravity waves. The authors provide vivid explanations that, to borrow a phrase from Einstein himself, are as simple as possible (but no simpler). An approachable yet rigorous introduction to one of the most important topics in physics, General Relativity is a must-read for anyone who wants a deeper knowledge of the universe's real structure.

ABC of Relativity (Hardcover): Bertrand Russell ABC of Relativity (Hardcover)
Bertrand Russell
R2,759 Discovery Miles 27 590 Ships in 12 - 17 working days

First published in 1925, Bertrand Russell's ABC of Relativity was considered a masterwork of its time, contributing significantly to the mass popularisation of science. Authoritative and accessible, it provides a remarkable introductory guide to Einstein's theory of Relativity for a general readership. One of the most definitive reference guides of its kind, and written by one of the twentieth century's most influential philosophers, ABC of Relativity continues to be as relevant today as it was on first publication.

Differential Geometry and Relativity Theory - An Introduction (Hardcover): Richard L. Faber Differential Geometry and Relativity Theory - An Introduction (Hardcover)
Richard L. Faber
R3,179 Discovery Miles 31 790 Ships in 12 - 17 working days

Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a single source, this easy-to-understand text opens the general theory of relativityto mathematics majors having a backgr.ound only in multivariable calculus and linearalgebra.The book offers a broad overview of the physical foundations and mathematical details ofrelativity, and presents concrete physical interpretations of numerous abstract concepts inRiemannian geometry. The work is profusely illustrated with diagrams aiding in the understandingof proofs and explanations. Appendices feature important material on vectoranalysis and hyperbolic functions.Differential Geometry and Relativity Theory: An Introduction serves as the ideal textfor high-level undergraduate couues in mathematics and physics, and includes a solutionsmanual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and IUemannian geometry, or the special and general theories ofrelativity

Einstein in Time and Space - A Life in 99 Particles (Hardcover): Samuel Graydon Einstein in Time and Space - A Life in 99 Particles (Hardcover)
Samuel Graydon
R572 R458 Discovery Miles 4 580 Save R114 (20%) Ships in 9 - 15 working days

DROPOUT. PACIFIST. PHYSICIST. CASANOVA. REFUGEE. REBEL. GENIUS. THINK YOU KNOW EINSTEIN? THINK AGAIN His face is instantly recognisable. His name is shorthand for genius. Today, he's a figurehead as much as a man, symbolic of things larger than himself: of scientific progress, of the human mind, even of the age. But who was Einstein really? The Nobel Prize-winning physicist who discovered relativity, black holes and E = mc2, dined with Charlie Chaplin in Hollywood and was the inspiration for (highly radioactive) element 99, Albert Einstein was also a high school dropout with an FBI file 1,400 pages long. In this book, Samuel Graydon brings history's most famous scientist back to life. From his lost daughter to escaping the Nazis, from his love letters to unlikely inventions, from telling jokes to cheer up his sad parrot Bibo to refusing the Presidency of Israel, through the discoveries and thought experiments that changed science, Einstein in Time and Space tells 99 unforgettable stories of the man who redefined how we view our universe and our place within it.

The Routledge Guidebook to Einstein's Relativity (Hardcover): James Trefil The Routledge Guidebook to Einstein's Relativity (Hardcover)
James Trefil; Series edited by Anthony Gottlieb
R3,861 Discovery Miles 38 610 Ships in 12 - 17 working days

Albert Einstein, one of the most prolific scientists of the twentieth century, developed the theory of relativity which was crucial for the advancement of modern physics. Young Einstein identified a paradox between Newtonian Mechanics and Maxwell's equations which pointed to a flawed understanding of space and time by the scientists of the day. In Relativity, Einstein presents his findings using a minimal amount of mathematical language, but the text can still be challenging for readers who lack an extensive scientific background. The Routledge Guidebook to Einstein's Relativity expands on and supplements this seminal text, by exploring: the historical context of Einstein's work and the background to his breakthroughs details of experimental verification of special and general relativity the enduring legacy of Einstein's theories and their implications for future scientific breakthroughs. This is an essential introduction for students of physics, philosophy and history in understanding the key elements of the work and the importance of this classic text to society today.

Physics of Relativistic Objects in Compact Binaries: from Birth to Coalescence (Hardcover, 2009 ed.): Monica Colpi, Piergiorgio... Physics of Relativistic Objects in Compact Binaries: from Birth to Coalescence (Hardcover, 2009 ed.)
Monica Colpi, Piergiorgio Casella, Vittorio Gorini, Ugo Moschella, Andrea Possenti
R2,850 Discovery Miles 28 500 Ships in 10 - 15 working days

A very attractive feature of the theory of general relativity is that it is a perfectexampleofa"falsi?able"theory:notunableparameterispresentinthe theory and therefore even a single experiment incompatible with a prediction of the theory would immediately lead to its inevitable rejection, at least in the physical regime of application of the aforementioned experiment. This fact provides additional scienti?c value to one of the boldest and most fascinating achievements of the human intellect ever, and motivates a wealth of e?orts in designing and implementing tests aimed at the falsi?cation of the theory. The ?rst historical test on the theory has been the de?ection of light gr- ing the solar surface (Eddington 1919): the compatibility of the theory with this ?rst experiment together with its ability to explain the magnitude of the perihelion advance of Mercury contributed strongly to boost acceptance and worldwideknowledge.However,technologicallimitations preventedphysicists from setting up more constraining tests for several decades after the formu- tion of the theory. In fact, a relevant problem with experimental general r- ativity is that the predicted deviations from the Newtonian theory of gravity areverysmallwhentheexperimentsarecarriedoutinterrestriallaboratories.

The General Theory of Relativity - A Mathematical Approach (Hardcover, New Ed): Farook Rahaman The General Theory of Relativity - A Mathematical Approach (Hardcover, New Ed)
Farook Rahaman
R1,760 R1,598 Discovery Miles 15 980 Save R162 (9%) Ships in 12 - 17 working days

The book aims to expound the general theory of relativity with a mathematical point of view. Catering to the needs of postgraduate students and researchers in the field of astrophysics and mathematical physics, it offers the readers a comprehensive understanding of the advanced topics of the subject matter. It specifically discusses the mathematical foundation of tensor calculus, gives a background of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution of matter and black holes, and particle and photon orbits in spacetime. Apart from the formulation of general relativity, Lie derivatives and its applications, and causality of spacetime are also discussed in detail. Certain preliminary concepts of extrinsic curvature, Lagrangian formalism of general theory of relativity and 3 + 1 decomposition of space-time are covered and are provided in the book as appendices.

An Introduction to Special Relativity for Radiation and Plasma Physics (Hardcover): Greg Tallents An Introduction to Special Relativity for Radiation and Plasma Physics (Hardcover)
Greg Tallents
R1,925 R1,616 Discovery Miles 16 160 Save R309 (16%) Ships in 12 - 17 working days

This textbook introduces the topic of special relativity, with a particular emphasis upon light-matter interaction and the production of light in plasma. The physics of special relativity is intuitively developed and related to the radiative processes of light. The book reviews the underlying theory of special relativity, before extending the discussion to applications frequently encountered by postgraduates and researchers in astrophysics, high power laser interactions and the users of specialized light sources, such as synchrotrons and free electron lasers. A highly pedagogical approach is adopted throughout, and numerous exercises are included within each chapter to reinforce the presentation of key concepts and applications of the material.

Special Relativity (Paperback): A.P. French Special Relativity (Paperback)
A.P. French
R2,259 Discovery Miles 22 590 Ships in 12 - 17 working days

The book opens with a description of the smooth transition from Newtonian to Einsteinian behaviour from electrons as their energy is progressively increased, and this leads directly to the relativistic expressions for mass, momentum and energy of a particle.

Relativity: The Special and the General Theory (Hardcover): Megan Green Relativity: The Special and the General Theory (Hardcover)
Megan Green
R3,934 R3,442 Discovery Miles 34 420 Save R492 (13%) Ships in 10 - 15 working days
Concepts of Simultaneity - From Antiquity to Einstein and Beyond (Hardcover): Max Jammer Concepts of Simultaneity - From Antiquity to Einstein and Beyond (Hardcover)
Max Jammer
R1,717 Discovery Miles 17 170 Ships in 10 - 15 working days

Max Jammer's Concepts of Simultaneity presents a comprehensive, accessible account of the historical development of an important and controversial concept -- which played a critical role in initiating modern theoretical physics -- from the days of Egyptian hieroglyphs through to Einstein's work in 1905, and beyond. Beginning with the use of the concept of simultaneity in ancient Egypt and in the Bible, the study discusses its role in Greek and medieval philosophy as well as its significance in Newtonian physics and in the ideas of Leibniz, Kant, and other classical philosophers. The central theme of Jammer's presentation is a critical analysis of the use of this concept by philosophers of science, like PoincarA(c), and its significant role in inaugurating modern theoretical physics in Einstein's special theory of relativity. Particular attention is paid to the philosophical problem of whether the notion of distant simultaneity presents a factual reality or only a hypothetical convention. The study concludes with an analysis of simultaneity's importance in general relativity and quantum mechanics.

The Perfect Wave - With Neutrinos at the Boundary of Space and Time (Hardcover): Heinrich Pas The Perfect Wave - With Neutrinos at the Boundary of Space and Time (Hardcover)
Heinrich Pas
R1,092 Discovery Miles 10 920 Ships in 12 - 17 working days

Almost weightless and able to pass through the densest materials with ease, neutrinos seem to defy the laws of nature. But these mysterious particles may hold the key to our deepest questions about the universe, says physicist Heinrich Pas. In The Perfect Wave, Pas serves as our fluent, deeply knowledgeable guide to a particle world that tests the boundaries of space, time, and human knowledge. The existence of the neutrino was first proposed in 1930, but decades passed before one was detected. Pas animates the philosophical and scientific developments that led to and have followed from this seminal discovery, ranging from familiar topics of relativity and quantum mechanics to more speculative theories about dark energy and supersymmetry. Many cutting-edge topics in neutrino research--conjectures about the origin of matter, extra-dimensional spacetime, and the possibility of time travel--remain unproven. But Pas describes the ambitious projects under way that may confirm them, including accelerator experiments at CERN and Fermilab, huge subterranean telescopes designed to detect high-energy neutrino radiation, and the Planck space observatory scheduled to investigate the role of neutrinos in cosmic evolution. As Pas's history of the neutrino illustrates, what is now established fact often sounded wildly implausible and unnatural when first proposed. The radical side of physics is both an exciting and an essential part of scientific progress, and The Perfect Wave renders it accessible to the interested reader.

Gravity's Century - From Einstein's Eclipse to Images of Black Holes (Hardcover): Ron Cowen Gravity's Century - From Einstein's Eclipse to Images of Black Holes (Hardcover)
Ron Cowen
R672 R575 Discovery Miles 5 750 Save R97 (14%) Ships in 12 - 17 working days

A sweeping account of the century of experimentation that confirmed Einstein's general theory of relativity, bringing to life the science and scientists at the origins of relativity, the development of radio telescopes, the discovery of black holes and quasars, and the still unresolved place of gravity in quantum theory. Albert Einstein did nothing of note on May 29, 1919, yet that is when he became immortal. On that day, astronomer Arthur Eddington and his team observed a solar eclipse and found something extraordinary: gravity bends light, just as Einstein predicted. The finding confirmed the theory of general relativity, fundamentally changing our understanding of space and time. A century later, another group of astronomers is performing a similar experiment on a much larger scale. The Event Horizon Telescope, a globe-spanning array of radio dishes, is examining space surrounding Sagittarius A*, the supermassive black hole at the center of the Milky Way. As Ron Cowen recounts, the foremost goal of the experiment is to determine whether Einstein was right on the details. Gravity lies at the heart of what we don't know about quantum mechanics, but tantalizing possibilities for deeper insight are offered by black holes. By observing starlight wrapping around Sagittarius A*, the telescope will not only provide the first direct view of an event horizon-a black hole's point of no return-but will also enable scientists to test Einstein's theory under the most extreme conditions. Gravity's Century shows how we got from the pivotal observations of the 1919 eclipse to the Event Horizon Telescope, and what is at stake today. Breaking down the physics in clear and approachable language, Cowen makes vivid how the quest to understand gravity is really the quest to comprehend the universe.

The Geometric Universe - Science, Geometry, and the Work of Roger Penrose (Hardcover, New): S. A. Huggett, Lionel J. Mason, K.... The Geometric Universe - Science, Geometry, and the Work of Roger Penrose (Hardcover, New)
S. A. Huggett, Lionel J. Mason, K. P. Tod, Sheung Tsou, N.M.J. Woodhouse
R4,264 Discovery Miles 42 640 Ships in 12 - 17 working days

This book is a collection of articles from several world-class researchers, and is inspired by Sir Roger Penrose's work. It gives an overview of the interaction between geometry and physics, from which many important developments have emerged. The volume collects together ideas from across the physical sciences, and indicates the many applications of geometrical ideas and techniques across mathematics and mathematical physics.

Karl Popper's Science and Philosophy (Paperback, 1st ed. 2021): Zuzana Parusnikova, David Merritt Karl Popper's Science and Philosophy (Paperback, 1st ed. 2021)
Zuzana Parusnikova, David Merritt
R4,013 Discovery Miles 40 130 Ships in 10 - 15 working days

Of all philosophers of the 20th century, few built more bridges between academic disciplines than Karl Popper. He contributed to a wide variety of fields in addition to the epistemology and the theory of scientific method for which he is best known. This book illustrates and evaluates the impact, both substantive and methodological, that Popper has had in the natural and mathematical sciences. The topics selected include quantum mechanics, evolutionary biology, cosmology, mathematical logic, statistics, and cognitive science. The approach is multidisciplinary, opening a dialogue across scientific disciplines and between scientists and philosophers.

Supermax - Controlling Risk Through Solitary Confinement (Paperback): Sharon Shalev Supermax - Controlling Risk Through Solitary Confinement (Paperback)
Sharon Shalev
R1,219 Discovery Miles 12 190 Ships in 12 - 17 working days

This book examines the rise and proliferation of 'Supermaxes', large prisons dedicated to holding prisoners in prolonged and strict solitary confinement, in the United States since the late 1980s.

Drawing on unique access to two Supermax prisons and on in-depth interviews with prison officials, prison architects, current and former prisoners, mental health professionals, penal, legal, and human rights experts, it provides a holistic view of the theory, practice and consequences of these prisons. Given the historic uses of solitary confinement, the book also traces continuities and discontinuities in its use on both sides of the Atlantic over the last two centuries.

It argues that rather than being an entirely 'new' form of imprisonment, Supermax prisons draw on principles of architecture, surveillance and control which were set out in the early 19th century but which are now enhanced by the most advanced technologies available to current day prison planners and administrators. It asks why a form of confinement which had been discredited in the past is now proposed as the best solution for dealing with 'difficult', 'dangerous' or 'disruptive' prisoners, and assesses the true costs of Supermax confinement.

Elementary Particles and the Early Universe - A Synergy of Particle Physics and Cosmology in the Birth and Evolution of the... Elementary Particles and the Early Universe - A Synergy of Particle Physics and Cosmology in the Birth and Evolution of the Universe (Hardcover)
Eitan Abraham, Andres J. Kreiner
R1,379 Discovery Miles 13 790 Ships in 12 - 17 working days

Features: Authored by experienced lecturers in Particle Physics, Quantum Field Theory, Nuclear Physics, and General Relativity Provides an accessible introduction to Particle Physics and Cosmology

Experimental Gravitation (Paperback, 1st ed. 2022): Fulvio Ricci, Massimo Bassan Experimental Gravitation (Paperback, 1st ed. 2022)
Fulvio Ricci, Massimo Bassan
R2,595 Discovery Miles 25 950 Ships in 10 - 15 working days

This book features a comprehensive review of experimental gravitation. It is a textbook based on the graduate courses on "Experimental Gravitation" given by the authors at their respective universities in Rome: Sapienza and Tor Vergata. A number of different research topics in the field are covered: from the torsion pendulum (still today the tool of choice for measuring small forces or torques) to the large interferometers developed to observe gravitational waves. Techniques that are still under development are also discussed, like the pulsar timing array and space-based detectors of the future. This book is written by experimentalists for experimentalists. While the background physics is summarized for less experienced readers, the emphasis is certainly on experimental verifications: the strategy, the apparatuses, the data analysis and the results of many cornerstone experiments are analyzed and discussed in depth. This textbook serves as a useful resource for both graduate students and professionals working in the increasingly vibrant field of experimental gravity.

Seeing Our Planet Whole: A Cultural and Ethical View of Earth Observation (Hardcover, 1st ed. 2017): Harry Eyres Seeing Our Planet Whole: A Cultural and Ethical View of Earth Observation (Hardcover, 1st ed. 2017)
Harry Eyres
R1,115 Discovery Miles 11 150 Ships in 12 - 17 working days

This book shows how our new-found ability to observe the Earth from "the necessary distance" has wide and profound cultural and ethical implications. First of all, it is the outcome of speculations and investigations of human beings in relation to their home planet carried out over millennia. In particular, it reveals a split between the ancient idea of the Earth as nurturing mother and the more recent conception of the Earth as a neutral resource able to be infinitely exploited by humankind. The 1968 Earthrise photograph, showing the beauty and fragility of the Earth, helped spark a worldwide environmental movement; now the comprehensive coverage of global change provided by satellites has the potential to convince us beyond reasonable doubt of the huge alterations being wrought upon the Earth and its climate system as a result of human actions, and of the need to act more responsibly.

The Transactional Interpretation of Quantum Mechanics - A Relativistic Treatment (Hardcover, 2nd Revised edition): Ruth E.... The Transactional Interpretation of Quantum Mechanics - A Relativistic Treatment (Hardcover, 2nd Revised edition)
Ruth E. Kastner
R1,749 R1,502 Discovery Miles 15 020 Save R247 (14%) Ships in 12 - 17 working days

Providing a comprehensive exposition of the transactional interpretation (TI) of quantum mechanics, this book sheds new light on long-standing problems in quantum theory such as the physical meaning of the 'Born Rule' for the probabilities of measurement results, and demonstrates the ability of TI to solve the measurement problem of quantum mechanics. It provides robust refutations of various objections and challenges to TI, such as Maudlin's inconsistency challenge, and explicitly extends TI into the relativistic domain, providing new insight into the basic compatibility of TI with relativity and the meaning of 'virtual particles.' It breaks new ground in approaches to interpreting quantum theory and presents a compelling new ontological picture of quantum reality. This substantially revised and updated second edition is ideal for researchers and graduate students interested in the philosophy of physics and the interpretation of quantum mechanics.

Expanding Worldviews: Astrobiology, Big History and Cosmic Perspectives (Paperback, 1st ed. 2021): Ian Crawford Expanding Worldviews: Astrobiology, Big History and Cosmic Perspectives (Paperback, 1st ed. 2021)
Ian Crawford
R6,173 Discovery Miles 61 730 Ships in 10 - 15 working days

This book collates papers presented at two international conferences (held at the Australian National University in 2018 and Birkbeck College London in 2019) exploring the relationships between big history and astrobiology and their wider implications for society. These two relatively new academic disciplines aim to integrate human history with the wider history of the universe and the search for life elsewhere. The book will show that, despite differences in emphasis, big history and astrobiology share much in common, especially their interdisciplinary approaches and the cosmic and evolutionary perspectives that they both engender. Specifically, the book addresses the unified, all-embracing, nature of knowledge, the impact of big history on humanity and the world at large, the possible impact of SETI on astrobiology and big history, the cultural signature of Earth's inhabitants beyond our own planet, and the political implications of a planetary worldview. The principal readership is envisaged to comprise scholars working in the fields of astrobiology, big history and space exploration interested in forging interdisciplinary links between these diverse topics, together with educators, and a wider public, interested in the societal implications of the cosmic and evolutionary perspectives engendered by research in these fields.

Decorrelative Mollifier Gravimetry - Basics, Ideas, Concepts, and Examples (Paperback, 1st ed. 2021): Willi Freeden Decorrelative Mollifier Gravimetry - Basics, Ideas, Concepts, and Examples (Paperback, 1st ed. 2021)
Willi Freeden
R4,529 Discovery Miles 45 290 Ships in 10 - 15 working days

This monograph presents the geoscientific context arising in decorrelative gravitational exploration to determine the mass density distribution inside the Earth. First, an insight into the current state of research is given by reducing gravimetry to mathematically accessible, and thus calculable, decorrelated models. In this way, the various unresolved questions and problems of gravimetry are made available to a broad scientific audience and the exploration industry. New theoretical developments will be given, and innovative ways of modeling geologic layers and faults by mollifier regularization techniques are shown. This book is dedicated to surface as well as volume geology with potential data primarily of terrestrial origin. For deep geology, the geomathematical decorrelation methods are to be designed in such a way that depth information (e.g., in boreholes) may be canonically entered. Bridging several different geo-disciplines, this book leads in a cycle from the potential measurements made by geoengineers, to the cleansing of data by geophysicists and geoengineers, to the subsequent theory and model formation, computer-based implementation, and numerical calculation and simulations made by geomathematicians, to interpretation by geologists, and, if necessary, back. It therefore spans the spectrum from geoengineering, especially geodesy, via geophysics to geomathematics and geology, and back. Using the German Saarland area for methodological tests, important new fields of application are opened, particularly for regions with mining-related cavities or dense development in today's geo-exploration.

Modern Perspectives in Theoretical Physics - 80th Birthday Festschrift in Honor of K. Babu Joseph (Paperback, 1st ed. 2021): K.... Modern Perspectives in Theoretical Physics - 80th Birthday Festschrift in Honor of K. Babu Joseph (Paperback, 1st ed. 2021)
K. S. Sreelatha, Varghese Jacob
R3,001 Discovery Miles 30 010 Ships in 10 - 15 working days

This book highlights the review of articles in theoretical physics by the students of Professor K. Babu Joseph, as a Festschrift for his 80th Birthday. This book is divided into four sections based on the contributions of Babu Joseph and his students. The four sections are Cosmology, High Energy Physics, Mathematical Physics and Non-linear Dynamics and its applications.

A Student's Guide to Special Relativity (Hardcover, New Ed): Norman Gray A Student's Guide to Special Relativity (Hardcover, New Ed)
Norman Gray
R1,574 R1,302 Discovery Miles 13 020 Save R272 (17%) Ships in 12 - 17 working days

This compact yet informative Guide presents an accessible route through Special Relativity, taking a modern axiomatic and geometrical approach. It begins by explaining key concepts and introducing Einstein's postulates. The consequences of the postulates - length contraction and time dilation - are unravelled qualitatively and then quantitatively. These strands are then tied together using the mathematical framework of the Lorentz transformation, before applying these ideas to kinematics and dynamics. This volume demonstrates the essential simplicity of the core ideas of Special Relativity, while acknowledging the challenges of developing new intuitions and dealing with the apparent paradoxes that arise. A valuable supplementary resource for intermediate undergraduates, as well as independent learners with some technical background, the Guide includes numerous exercises with hints and notes provided online. It lays the foundations for further study in General Relativity, which is introduced briefly in an appendix.

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