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| Author | : Norman Gray |
| Publisher | : Cambridge University Press |
| Total Pages | : 165 |
| Release | : 2019-01-03 |
| Genre | : Science |
| ISBN | : 1107183464 |
Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations
| Author | : Norman Gray |
| Publisher | : Cambridge University Press |
| Total Pages | : 232 |
| Release | : 2022-02-03 |
| Genre | : Science |
| ISBN | : 1009003119 |
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.
| Author | : Robert E Kennedy |
| Publisher | : Oxford University Press |
| Total Pages | : 326 |
| Release | : 2012-01-19 |
| Genre | : Science |
| ISBN | : 0199694036 |
In 1905 Albert Einstein produced breakthrough work in three major areas of physics (atoms and Brownian motion, quanta, and the special theory of relativity), followed, in 1916, by the general theory of relativity. This book develops the detail of the papers, including the mathematics, to guide the reader in working through them.
| Author | : Tatsu Takeuchi |
| Publisher | : Cambridge University Press |
| Total Pages | : 268 |
| Release | : 2010-09-09 |
| Genre | : Science |
| ISBN | : 0521141001 |
Presents a step-by-step explanation of Einstein's Special Theory of Relativity through a series of diagrams rather than equations.
| Author | : Daniel A. Fleisch |
| Publisher | : Cambridge University Press |
| Total Pages | : 206 |
| Release | : 2011-09-22 |
| Genre | : Science |
| ISBN | : 9780521171908 |
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
| Author | : Bernard Schutz |
| Publisher | : Cambridge University Press |
| Total Pages | : 490 |
| Release | : 2003-12-04 |
| Genre | : Science |
| ISBN | : 1139457349 |
This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity.
| Author | : James A. Foster |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 295 |
| Release | : 2010-04-30 |
| Genre | : Science |
| ISBN | : 0387275835 |
Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding.
| Author | : Robert M. Wald |
| Publisher | : University of Chicago Press |
| Total Pages | : 507 |
| Release | : 2010-05-15 |
| Genre | : Science |
| ISBN | : 0226870375 |
"Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding."—S. Chandrasekhar "A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect."—L. P. Hughston, Times Higher Education Supplement "Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come."—James W. York, Physics Today
| Author | : Christian G Boehmer |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 287 |
| Release | : 2016-10-06 |
| Genre | : Science |
| ISBN | : 1786341204 |
Introduction to General Relativity and Cosmology gives undergraduate students an overview of the fundamental ideas behind the geometric theory of gravitation and spacetime. Through pointers on how to modify and generalise Einstein's theory to enhance understanding, it provides a link between standard textbook content and current research in the field.Chapters present complicated material practically and concisely, initially dealing with the mathematical foundations of the theory of relativity, in particular differential geometry. This is followed by a discussion of the Einstein field equations and their various properties. Also given is analysis of the important Schwarzschild solutions, followed by application of general relativity to cosmology. Questions with fully worked answers are provided at the end of each chapter to aid comprehension and guide learning. This pared down textbook is specifically designed for new students looking for a workable, simple presentation of some of the key theories in modern physics and mathematics.
| Author | : Robert B. Scott |
| Publisher | : Cambridge University Press |
| Total Pages | : 321 |
| Release | : 2016 |
| Genre | : Astrophysics |
| ISBN | : 1107037913 |
This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook.
