Geometrical Physics in Minkowski Spacetime

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Release : 2013-04-17
Genre : Science
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Book Rating : 937/5 ( reviews)

Geometrical Physics in Minkowski Spacetime - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometrical Physics in Minkowski Spacetime write by E.G.Peter Rowe. This book was released on 2013-04-17. Geometrical Physics in Minkowski Spacetime available in PDF, EPUB and Kindle. From the reviews: "This attractive book provides an account of the theory of special relativity from a geometrical viewpoint, explaining the unification and insights that are given by such a treatment. [...] Can be read with profit by all who have taken a first course in relativity physics." ASLIB Book Guide

The Geometry of Minkowski Spacetime

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Release : 2003-01-01
Genre : Mathematics
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Book Rating : 359/5 ( reviews)

The Geometry of Minkowski Spacetime - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Minkowski Spacetime write by Gregory L. Naber. This book was released on 2003-01-01. The Geometry of Minkowski Spacetime available in PDF, EPUB and Kindle. This mathematically rigorous treatment examines Zeeman's characterization of the causal automorphisms of Minkowski spacetime and the Penrose theorem concerning the apparent shape of a relativistically moving sphere. Other topics include the construction of a geometric theory of the electromagnetic field; an in-depth introduction to the theory of spinors; and a classification of electromagnetic fields in both tensor and spinor form. Appendixes introduce a topology for Minkowski spacetime and discuss Dirac's famous "Scissors Problem." Appropriate for graduate-level courses, this text presumes only a knowledge of linear algebra and elementary point-set topology. 1992 edition. 43 figures.

Spacetime

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Release : 2003-07-01
Genre : Science
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Book Rating : 543/5 ( reviews)

Spacetime - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Spacetime write by Marcus Kriele. This book was released on 2003-07-01. Spacetime available in PDF, EPUB and Kindle. One of the most of exciting aspects is the general relativity pred- tion of black holes and the Such Big Bang. predictions gained weight the theorems through Penrose. singularity pioneered In various by te- books on theorems general relativity singularity are and then presented used to that black holes exist and that the argue universe started with a To date what has big been is bang. a critical of what lacking analysis these theorems predict-’ We of really give a proof a typical singul- theorem and this ity use theorem to illustrate problems arising through the of possibilities violations" and "causality weak "shell very crossing These singularities". add to the problems weight of view that the point theorems alone singularity are not sufficient to the existence of predict physical singularities. The mathematical theme of the book In order to both solid gain a of and intuition understanding good for any mathematical theory, one,should to realise it as model of try a a fam- iar non-mathematical theories have had concept. Physical an especially the important on of and impact development mathematics, conversely various modern theories physical rather require sophisticated mathem- ics for their formulation. both and mathematics Today, physics are so that it is often difficult complex to master the theories in both very s- in the of jects. However, case differential pseudo-Riemannian geometry or the general relativity between and mathematics relationship physics is and it is therefore especially close, to from interd- possible profit an ciplinary approach.

An Introduction to Geometrical Physics

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Release : 2016-10-07
Genre : Science
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Book Rating : 834/5 ( reviews)

An Introduction to Geometrical Physics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Geometrical Physics write by Aldrovandi Ruben. This book was released on 2016-10-07. An Introduction to Geometrical Physics available in PDF, EPUB and Kindle. This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature -- gravitational, electromagnetic, strong nuclear, and weak nuclear. The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students. In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.

The Geometry of Special Relativity

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Release : 2012-07-02
Genre : Mathematics
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Book Rating : 471/5 ( reviews)

The Geometry of Special Relativity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Geometry of Special Relativity write by Tevian Dray. This book was released on 2012-07-02. The Geometry of Special Relativity available in PDF, EPUB and Kindle. The Geometry of Special Relativity provides an introduction to special relativity that encourages readers to see beyond the formulas to the deeper geometric structure. The text treats the geometry of hyperbolas as the key to understanding special relativity. This approach replaces the ubiquitous γ symbol of most standard treatments with the appropriate hyperbolic trigonometric functions. In most cases, this not only simplifies the appearance of the formulas, but also emphasizes their geometric content in such a way as to make them almost obvious. Furthermore, many important relations, including the famous relativistic addition formula for velocities, follow directly from the appropriate trigonometric addition formulas. The book first describes the basic physics of special relativity to set the stage for the geometric treatment that follows. It then reviews properties of ordinary two-dimensional Euclidean space, expressed in terms of the usual circular trigonometric functions, before presenting a similar treatment of two-dimensional Minkowski space, expressed in terms of hyperbolic trigonometric functions. After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity. The book also briefly describes the further steps leading to Einstein’s general theory of relativity and then explores applications of hyperbola geometry to non-Euclidean geometry and calculus, including a geometric construction of the derivatives of trigonometric functions and the exponential function.