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Elements of Relativity Theory

2004-01-01 Science
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Release : 2004-01-01
Genre : Science
Kind : eBook
Book Rating : 024/5 ( reviews)

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Book Synopsis Elements of Relativity Theory by : Derek F. Lawden

Download or read book Elements of Relativity Theory written by Derek F. Lawden. This book was released on 2004-01-01. Available in PDF, EPUB and Kindle. Book excerpt: The basic concepts of relativity theory are conveyed through worked and unworked examples in this text, which requires only elementary algebra and emphasizes physical principles and concepts. 1985 edition.

Elements of General Relativity

2020-03-19 Mathematics
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Release : 2020-03-19
Genre : Mathematics
Kind : eBook
Book Rating : 166/5 ( reviews)

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Book Synopsis Elements of General Relativity by : Piotr T. Chruściel

Download or read book Elements of General Relativity written by Piotr T. Chruściel. This book was released on 2020-03-19. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the mathematics and physics of general relativity, its basic physical concepts, its observational implications, and the new insights obtained into the nature of space-time and the structure of the universe. It introduces some of the most striking aspects of Einstein's theory of gravitation: black holes, gravitational waves, stellar models, and cosmology. It contains a self-contained introduction to tensor calculus and Riemannian geometry, using in parallel the language of modern differential geometry and the coordinate notation, more familiar to physicists. The author has strived to achieve mathematical rigour, with all notions given careful mathematical meaning, while trying to maintain the formalism to the minimum fit-for-purpose. Familiarity with special relativity is assumed. The overall aim is to convey some of the main physical and geometrical properties of Einstein's theory of gravitation, providing a solid entry point to further studies of the mathematics and physics of Einstein equations.

Group Theory and General Relativity

2000 Science
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Release : 2000
Genre : Science
Kind : eBook
Book Rating : 341/5 ( reviews)

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Book Synopsis Group Theory and General Relativity by : Moshe Carmeli

Download or read book Group Theory and General Relativity written by Moshe Carmeli. This book was released on 2000. Available in PDF, EPUB and Kindle. Book excerpt: This is the only book on the subject of group theory and Einstein's theory of gravitation. It contains an extensive discussion on general relativity from the viewpoint of group theory and gauge fields. It also puts together in one volume many scattered, original works, on the use of group theory in general relativity theory. There are twelve chapters in the book. The first six are devoted to rotation and Lorentz groups, and their representations. They include the spinor representation as well as the infinite-dimensional representations. The other six chapters deal with the application of groups -- particularly the Lorentz and the SL(2, C) groups -- to the theory of general relativity. Each chapter is concluded with a set of problems. The topics covered range from the fundamentals of general relativity theory, its formulation as an SL(2, C) gauge theory, to exact solutions of the Einstein gravitational field equations. The important Bondi-Metzner-Sachs group, and its representations, conclude the book The entire book is self-contained in both group theory and general relativity theory, and no prior knowledge of either is assumed. The subject of this book constitutes a relevant link between field theoreticians and general relativity theoreticians, who usually work rather independently of each other. The treatise is highly topical and of real interest to theoretical physicists, general relativists and applied mathematicians. It is invaluable to graduate students and research workers in quantum field theory, general relativity and elementary particle theory.

Elements and Formulae of Special Relativity

2017-06-23 Science
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Release : 2017-06-23
Genre : Science
Kind : eBook
Book Rating : 017/5 ( reviews)

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Book Synopsis Elements and Formulae of Special Relativity by : E. A. Guggenheim

Download or read book Elements and Formulae of Special Relativity written by E. A. Guggenheim. This book was released on 2017-06-23. Available in PDF, EPUB and Kindle. Book excerpt: Elements and Formulae of Special Relativity presents elements and formulas of the theory of special relativity and covers topics ranging from kinematics and propagation of light to mechanics of single bodies, hydrodynamics, and thermodynamics. Vector operators, electromagnetic fields, electrodynamics, and statistical mechanics are also explored. This book is comprised of 13 chapters and begins by introducing the reader to the kinematics of special relativity, paying particular attention to formulas required for transformations between two frames of reference. Attention then turns to the propagation of light, the Doppler effect, the mechanics of single bodies, and the more general and more powerful approach to relativistic mechanics due to Lagrange and to Hamilton. The chapters that follow focus on formulas for a fluid maintained at a constant uniform pressure; relativistic formulas for thermodynamics; and representation of M-vectors with real components by cartesian 4-vectors with imaginary components. This book also considers the equations for an electromagnetic field in a vacuum and a gaseous phase composed of one or several perfect monatomic gases. A brief historical synopsis is given in the last chapter. This monograph will be useful to chemical physicists and other not-too-theoretical physicists.

Relativity and Geometry

2014-05-20 Science
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Release : 2014-05-20
Genre : Science
Kind : eBook
Book Rating : 371/5 ( reviews)

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Book Synopsis Relativity and Geometry by : Roberto Torretti

Download or read book Relativity and Geometry written by Roberto Torretti. This book was released on 2014-05-20. Available in PDF, EPUB and Kindle. Book excerpt: Relativity and Geometry aims to elucidate the motivation and significance of the changes in physical geometry brought about by Einstein, in both the first and the second phases of relativity. The book contains seven chapters and a mathematical appendix. The first two chapters review a historical background of relativity. Chapter 3 centers on Einstein's first Relativity paper of 1905. Subsequent chapter presents the Minkowskian formulation of special relativity. Chapters 5 and 6 deal with Einstein's search for general relativity from 1907 to 1915, as well as some aspects and subsequent developments of the theory. The last chapter explores the concept of simultaneity, geometric conventionalism, and a few other questions concerning space time structure, causality, and time.

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