300 Problems in Special and General Relativity PDF Download
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Author: Mattias Blennow
Publisher: Cambridge University Press
ISBN: 1316510670
Category : Science
Languages : en
Pages : 365
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Book Description
A textbook-neutral problems-and-solutions book that complements any relativity textbook at advanced undergraduate or masters level.
Author: Mattias Blennow
Publisher: Cambridge University Press
ISBN: 1316510670
Category : Science
Languages : en
Pages : 365
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Book Description
A textbook-neutral problems-and-solutions book that complements any relativity textbook at advanced undergraduate or masters level.
Author: L. P. Hughston
Publisher: Cambridge University Press
ISBN: 9780521339438
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.
Author: Sean M. Carroll
Publisher: Cambridge University Press
ISBN: 1108488390
Category : Science
Languages : en
Pages : 529
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Book Description
An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.
Author: Norman Gray
Publisher: Cambridge University Press
ISBN: 1009003119
Category : Science
Languages : en
Pages : 232
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Book Description
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: James B. Hartle
Publisher: Cambridge University Press
ISBN: 1316517543
Category : Science
Languages : en
Pages : 605
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Book Description
Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications.
Author: Florentin Smarandache
Publisher: Infinite Study
ISBN: 1599732203
Category : Relativity (Physics)
Languages : en
Pages : 319
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Book Description
Author: Alan P. Lightman
Publisher: Princeton University Press
ISBN: 1400889014
Category : Science
Languages : en
Pages : 616
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Book Description
An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity.
Author: Norman Gray
Publisher: Cambridge University Press
ISBN: 1107183464
Category : Science
Languages : en
Pages : 165
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Book Description
Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations
Author: Alan P. Lightman
Publisher: Princeton University Press
ISBN: 069108162X
Category : Science
Languages : en
Pages : 616
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Book Description
The authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism.
Author: Michael Tsamparlis
Publisher: Springer Science & Business Media
ISBN: 3642038379
Category : Science
Languages : en
Pages : 605
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Book Description
Writing a new book on the classic subject of Special Relativity, on which numerous important physicists have contributed and many books have already been written, can be like adding another epicycle to the Ptolemaic cosmology. Furthermore, it is our belief that if a book has no new elements, but simply repeats what is written in the existing literature, perhaps with a different style, then this is not enough to justify its publication. However, after having spent a number of years, both in class and research with relativity, I have come to the conclusion that there exists a place for a new book. Since it appears that somewhere along the way, mathem- ics may have obscured and prevailed to the degree that we tend to teach relativity (and I believe, theoretical physics) simply using “heavier” mathematics without the inspiration and the mastery of the classic physicists of the last century. Moreover current trends encourage the application of techniques in producing quick results and not tedious conceptual approaches resulting in long-lasting reasoning. On the other hand, physics cannot be done a ́ la carte stripped from philosophy, or, to put it in a simple but dramatic context A building is not an accumulation of stones! As a result of the above, a major aim in the writing of this book has been the distinction between the mathematics of Minkowski space and the physics of r- ativity.
