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Relativity
Publisher Description
General Relativity
This is an excellent introduction to the subjects of gravitation and space-time structure. It discusses the foundations of Riemann geometry; the derivation of Einstein field equations; linearised theory; far fields and gravitational waves; the invariant characterisation of exact solutions; gravitational collapse; cosmology as well as alternative gravitational theories and the problem of quantum gravity.
Exact Solutions of Einstein's Field Equations
A completely revised and updated edition of this classic text, covering important new methods and many recently discovered solutions. This edition contains new chapters on generation methods and their application, classification of metrics by invariants, and treatments of homothetic motions and methods from dynamical systems theory. It also includes colliding waves, inhomogeneous cosmological solutions, and spacetimes containing special subspaces.
Differential Equations
This book provides an introduction to the theory and application of the solution to differential equations using symmetries, a technique of great value in mathematics and the physical sciences. It will apply to graduate students in physics, applied mathematics, and engineering.
Differential Equations
In many branches of physics, mathematics, and engineering, solving a problem means solving a set of ordinary or partial differential equations. Nearly all methods of constructing closed form solutions rely on symmetries. The emphasis in this text is on how to find and use the symmetries; this is supported by many examples and more than 100 exercises. This book will form an introduction accessible to beginning graduate students in physics, applied mathematics, and engineering. Advanced graduate students and researchers in these disciplines will find the book a valuable reference.
Exact Solutions of Einstein's Field Equations
A paperback edition of a classic text, this book contains six new chapters, covering generation methods and their application, colliding waves, classification of metrics by invariants and treatments of homothetic motions. This book is an important resource for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.
Exact Solutions of Einstein's Field Equations
A paperback edition of a classic text for graduates and researchers in relativity, theoretical physics, astrophysics and mathematics.
The Deficit Myth
THE INTERNATIONAL BESTSELLER 'Kelton has succeeded in instigating a round of heretical questioning, essential for a post-Covid-19 world, where the pantheon of economic gods will have to be reconfigured' Guardian 'Stephanie Kelton is an indispensable source of moral clarity ... the truths that she teaches about money, debt, and deficits give us the tools we desperately need to build a safe future for all' Naomi Klein 'Game-changing ... Read it!' Mariana Mazzucato 'A rock star in her field' The Times 'This book is going to be influential' Financial Times 'Convincingly overturns conventional wisdom' New York Times Supporting the economy, paying for healthcare, creating new jobs, preventing a climate apocalypse: how can we pay for it all? Leading economic thinker Stephanie Kelton, shows how misguided that question is, and how a radical new approach can maximise our potential as a society. Everything that we've been led to believe about deficits and the role of money and government spending is wrong. Rather than asking the self-defeating question of how to pay for the crucial improvements our society needs, Kelton guides us to ask: which deficits actually matter?
Exact Space-Times in Einstein's General Relativity
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
Romanland
A leading historian argues that in the empire we know as Byzantium, the Greek-speaking population was actually Roman, and scholars have deliberately mislabeled their ethnicity for the past two centuries for political reasons. Was there ever such a thing as Byzantium? Certainly no emperor ever called himself “Byzantine.” And while the identities of minorities in the eastern empire are clear—contemporaries speak of Slavs, Bulgarians, Armenians, Jews, and Muslims—that of the ruling majority remains obscured behind a name made up by later generations. Historical evidence tells us unequivocally that Byzantium’s ethnic majority, no less than the ruler of Constantinople, would have identi...
