Introduction To Tensor Calculus Relativity And Cosmology

Author : Derek F. Lawden
Publisher : Courier Corporation
Page : 224 pages
File Size : 48,6 Mb
Release : 2012-03-07
Category : Science
ISBN : 0486132145

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An Introduction to Tensor Calculus by Derek F. Lawden Pdf

This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.

Author : Derek Frank Lawden
Publisher : Unknown
Page : 184 pages
File Size : 48,6 Mb
Release : 2013-08
Category : Electronic
ISBN : 1258787415

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An Introduction to Tensor Calculus and Relativity by Derek Frank Lawden Pdf

Author : Derek F. Lawden
Publisher : Unknown
Page : 205 pages
File Size : 52,7 Mb
Release : 2002
Category : Electronic
ISBN : OCLC:814388795

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Introduction to Tensor Calculus, Relativity and Cosmology by Derek F. Lawden Pdf

Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Academic Press
Page : 276 pages
File Size : 54,9 Mb
Release : 2015-07-08
Category : Science
ISBN : 9780128034019

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Tensors, Relativity, and Cosmology by Mirjana Dalarsson,Nils Dalarsson Pdf

Tensors, Relativity, and Cosmology, Second Edition, combines relativity, astrophysics, and cosmology in a single volume, providing a simplified introduction to each subject that is followed by detailed mathematical derivations. The book includes a section on general relativity that gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes and Penrose processes), and considers the energy-momentum tensor for various solutions. In addition, a section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects, with a final section on cosmology discussing cosmological models, observational tests, and scenarios for the early universe. This fully revised and updated second edition includes new material on relativistic effects, such as the behavior of clocks and measuring rods in motion, relativistic addition of velocities, and the twin paradox, as well as new material on gravitational waves, amongst other topics. Clearly combines relativity, astrophysics, and cosmology in a single volume Extensive introductions to each section are followed by relevant examples and numerous exercises Presents topics of interest to those researching and studying tensor calculus, the theory of relativity, gravitation, cosmology, quantum cosmology, Robertson-Walker Metrics, curvature tensors, kinematics, black holes, and more Fully revised and updated with 80 pages of new material on relativistic effects, such as relativity of simultaneity and relativity of the concept of distance, amongst other topics Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

Author : Mirjana Dalarsson,Nils Dalarsson
Publisher : Gulf Professional Publishing
Page : 298 pages
File Size : 40,7 Mb
Release : 2005-03-21
Category : Mathematics
ISBN : 012200681X

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Tensors, Relativity, and Cosmology by Mirjana Dalarsson,Nils Dalarsson Pdf

This book combines relativity, astrophysics, and cosmology in a single volume, providing an introduction to each subject that enables students to understand more detailed treatises as well as the current literature. The section on general relativity gives the case for a curved space-time, presents the mathematical background (tensor calculus, Riemannian geometry), discusses the Einstein equation and its solutions (including black holes, Penrose processes, and similar topics), and considers the energy-momentum tensor for various solutions. The next section on relativistic astrophysics discusses stellar contraction and collapse, neutron stars and their equations of state, black holes, and accretion onto collapsed objects. Lastly, the section on cosmology discusses various cosmological models, observational tests, and scenarios for the early universe. * Clearly combines relativity, astrophysics, and cosmology in a single volume so students can understand more detailed treatises and current literature * Extensive introductions to each section are followed by relevant examples and numerous exercises * Provides an easy-to-understand approach to this advanced field of mathematics and modern physics by providing highly detailed derivations of all equations and results

Author : Derek F. Lawden
Publisher : Unknown
Page : 186 pages
File Size : 53,8 Mb
Release : 1967
Category : Calculus of tensors
ISBN : 0416431402

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An Introduction to Tensor Calculus and Relativity by Derek F. Lawden Pdf

Author : Ilya L. Shapiro
Publisher : Springer Nature
Page : 324 pages
File Size : 42,9 Mb
Release : 2019-08-30
Category : Science
ISBN : 9783030268954

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A Primer in Tensor Analysis and Relativity by Ilya L. Shapiro Pdf

This undergraduate textbook provides a simple, concise introduction to tensor algebra and analysis, as well as special and general relativity. With a plethora of examples, explanations, and exercises, it forms a well-rounded didactic text that will be useful for any related course. The book is divided into three main parts, all based on lecture notes that have been refined for classroom teaching over the past two decades. Part I provides students with a comprehensive overview of tensors. Part II links the very introductory first part and the relatively advanced third part, demonstrating the important intermediate-level applications of tensor analysis. Part III contains an extended discussion of general relativity, and includes material useful for students interested primarily in quantum field theory and quantum gravity. Tailored to the undergraduate, this textbook offers explanations of technical material not easily found or detailed elsewhere, including an understandable description of Riemann normal coordinates and conformal transformations. Future theoretical and experimental physicists, as well as mathematicians, will thus find it a wonderful first read on the subject.

Author : Brian P. Dolan
Publisher : Cambridge University Press
Page : 215 pages
File Size : 52,6 Mb
Release : 2023-06-30
Category : Science
ISBN : 9781009263719

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Einstein's General Theory of Relativity by Brian P. Dolan Pdf

Einstein's general theory of relativity can be a notoriously difficult subject for students approaching it for the first time, with arcane mathematical concepts such as connection coefficients and tensors adorned with a forest of indices. This book is an elementary introduction to Einstein's theory and the physics of curved space-times that avoids these complications as much as possible. Its first half describes the physics of black holes, gravitational waves and the expanding Universe, without using tensors. Only in the second half are Einstein's field equations derived and used to explain the dynamical evolution of the early Universe and the creation of the first elements. Each chapter concludes with problem sets and technical mathematical details are given in the appendices. This short text is intended for undergraduate physics students who have taken courses in special relativity and advanced mechanics.

Author : J. L. Synge,A. Schild
Publisher : Courier Corporation
Page : 336 pages
File Size : 40,8 Mb
Release : 2012-04-26
Category : Mathematics
ISBN : 9780486141398

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Tensor Calculus by J. L. Synge,A. Schild Pdf

Fundamental introduction of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, more.

Author : Piotr T. Chruściel
Publisher : Springer Nature
Page : 285 pages
File Size : 43,9 Mb
Release : 2020-03-19
Category : Mathematics
ISBN : 9783030284169

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Elements of General Relativity by Piotr T. Chruściel Pdf

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.

Author : Ta-Pei Cheng
Publisher : Oxford University Press
Page : 452 pages
File Size : 52,6 Mb
Release : 2010
Category : Science
ISBN : 9780199573639

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Relativity, Gravitation and Cosmology by Ta-Pei Cheng Pdf

An introduction to Einstein's general theory of relativity, this work is structured so that interesting applications, such as gravitational lensing, black holes and cosmology, can be presented without the readers having to first learn the difficult mathematics of tensor calculus.

Author : Dwight E. Neuenschwander
Publisher : JHU Press
Page : 244 pages
File Size : 49,6 Mb
Release : 2015
Category : Mathematics
ISBN : 9781421415642

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Tensor Calculus for Physics by Dwight E. Neuenschwander Pdf

It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Author : Sean M. Carroll
Publisher : Cambridge University Press
Page : 529 pages
File Size : 49,6 Mb
Release : 2019-08-08
Category : Science
ISBN : 9781108488396

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Spacetime and Geometry by Sean M. Carroll Pdf

An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications.

Author : Jose Natario
Publisher : Springer Science & Business Media
Page : 133 pages
File Size : 46,6 Mb
Release : 2011-07-30
Category : Science
ISBN : 9783642214523

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General Relativity Without Calculus by Jose Natario Pdf

“General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding.

Author : L. P. Hughston,K. P. Tod
Publisher : Cambridge University Press
Page : 196 pages
File Size : 45,8 Mb
Release : 1990
Category : Mathematics
ISBN : 052133943X

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An Introduction to General Relativity by L. P. Hughston,K. P. Tod Pdf

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.