Relativity And Scientific Computing
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| Author | : Friedrich W Hehl |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 405 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 3642957323 |
For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.
| Author | : Thomas W. Baumgarte |
| Publisher | : Cambridge University Press |
| Total Pages | : 717 |
| Release | : 2010-06-24 |
| Genre | : Science |
| ISBN | : 1139643177 |
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.
| Author | : Friedrich W Hehl |
| Publisher | : Springer |
| Total Pages | : 389 |
| Release | : 2012-02-12 |
| Genre | : Science |
| ISBN | : 9783642957345 |
For this set of lectures we assumed that the reader has a reasonable back ground in physics and some knowledge of general relativity, the modern theory of gravity in macrophysics, and cosmology. Computer methods are present ed by leading experts in the three main domains: in numerics, in computer algebra, and in visualization. The idea was that each of these subdisciplines is introduced by an extended set of main lectures and that each is conceived as being of comparable 'importance. Therefpre we believe that the book represents a good introduction into scientific I computing for any student who wants to specialize in relativity, gravitation, and/or astrophysics. We took great care to select lecturers who teach in a comprehensible way and who are, at the same time, at the research front of their respective field. In numerics we had the privilege of having a lecturer from the National Center for Supercomputing Applications (NCSA, Champaign, IL, USA) and some from other leading institutions of the world; visualization was taught by a visualization expert from Boeing; and in com puter algebra we took recourse to practitioners of different computer algebra systems as applied to classical general relativity up to quantum gravity and differential geometry.
| Author | : John B. Kogut |
| Publisher | : Academic Press |
| Total Pages | : 195 |
| Release | : 2012-12-02 |
| Genre | : Science |
| ISBN | : 0080924085 |
Introduction to Relativity is intended to teach physics and astronomy majors at the freshman, sophomore or upper-division levels how to think about special and general relativity in a fundamental, but accessible, way. Designed to render any reader a "master of relativity", everything on the subject is comprehensible and derivable from first principles. The book emphasizes problem solving, contains abundant problem sets, and is conveniently organized to meet the needs of both student and instructor. - Simplicity: the book teaches space and time in relativity in a physical fashion with minimal mathematics - Conciseness: the book teaches relativity by emphasizing the basic simplicity of the principles at work - Visualization: space-time diagrams (Minkowski) illustrate phenomena from simultaneity to the resolution of the twin paradox in a concrete fashion - Worked problems: two chapters of challenging problems solved in several ways illustrate and teach the principles - Problem sets: each chapter is accompanied by a full set of problems for the student that teach the principles and some new phenonmena
| Author | : Jeffrey Bennett |
| Publisher | : Columbia University Press |
| Total Pages | : 203 |
| Release | : 2014-03-04 |
| Genre | : Science |
| ISBN | : 0231537034 |
A renowned astrophysicist’s approachable introduction to Albert Einstein’s theory of relativity and its application in our daily lives. It is commonly assumed that if the Sun suddenly turned into a black hole, it would suck Earth and the rest of the planets into oblivion. Yet, as prominent author and astrophysicist Jeffrey Bennett points out, black holes don't suck. With that simple idea in mind, Bennett begins an entertaining introduction to Einstein's theories of relativity, describing the amazing phenomena readers would actually experience if they took a trip to a black hole. The theory of relativity reveals the speed of light as the cosmic speed limit, the mind-bending ideas of time dilation and curvature of spacetime, and what may be the most famous equation in history: E = mc2. Indeed, the theory of relativity shapes much of our modern understanding of the universe. It is not “just a theory”―every major prediction of relativity has been tested to exquisite precision, and its practical applications include the Global Positioning System (GPS). Amply illustrated and written in clear, accessible prose, Bennett's book proves anyone can grasp the basics of Einstein's ideas. His intuitive, nonmathematical approach gives a wide audience its first real taste of how relativity works and why it is so important to science and the way we view ourselves as human beings. “Well-written and uniquely readable . . . Bennett carefully avoids bombastic statements and “spectacularization” of the subject.” —Alberto Nicolis, Columbia University “I have read lots of introductions to relativity, but none is as clear and compelling as this one.” —Seth Shostak, Senior Astronomer, SETI Institute
| Author | : Thomas W. Baumgarte |
| Publisher | : Cambridge University Press |
| Total Pages | : 235 |
| Release | : 2021-04-08 |
| Genre | : Mathematics |
| ISBN | : 1108844111 |
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
| Author | : Michael T. Heath |
| Publisher | : SIAM |
| Total Pages | : 587 |
| Release | : 2018-11-14 |
| Genre | : Science |
| ISBN | : 1611975573 |
This book differs from traditional numerical analysis texts in that it focuses on the motivation and ideas behind the algorithms presented rather than on detailed analyses of them. It presents a broad overview of methods and software for solving mathematical problems arising in computational modeling and data analysis, including proper problem formulation, selection of effective solution algorithms, and interpretation of results.? In the 20 years since its original publication, the modern, fundamental perspective of this book has aged well, and it continues to be used in the classroom. This Classics edition has been updated to include pointers to Python software and the Chebfun package, expansions on barycentric formulation for Lagrange polynomial interpretation and stochastic methods, and the availability of about 100 interactive educational modules that dynamically illustrate the concepts and algorithms in the book. Scientific Computing: An Introductory Survey, Second Edition is intended as both a textbook and a reference for computationally oriented disciplines that need to solve mathematical problems.
| Author | : Alan P. Lightman |
| Publisher | : Princeton University Press |
| Total Pages | : 616 |
| Release | : 2017-09-01 |
| Genre | : Science |
| ISBN | : 1400889014 |
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 | : Valeri V. Dvoeglazov |
| Publisher | : Nova Science Publishers |
| Total Pages | : 0 |
| Release | : 2015-12 |
| Genre | : Quantum cosmology |
| ISBN | : 9781634837897 |
Considering mathematical questions of relativity theory, relations to modern astrophysics, as well as some conceptual foundations, this book includes papers by R. Cahill, J.G. Hartnett, F. Cardone, A. Marrani and R. Mignani, J. Dunning-Davies, A. Gutierrez-Rodriguez, A. Vankov, P. O'Donell & others.
| Author | : David C. Mello |
| Publisher | : Nova Science Publishers |
| Total Pages | : 0 |
| Release | : 2013 |
| Genre | : Geometry, Differential |
| ISBN | : 9781626185425 |
This book provides a lucid introduction to both modern differential geometry and relativity for advanced undergraduates and first-year graduate students of applied mathematics and physical sciences. This book meets an overwhelming need for a book on modern differential geometry and relativity that is student-friendly, and which is also suitable for self-study. The book presumes a minimal level of mathematical maturity so that any student who has completed the standard Calculus sequence should be able to read and understand the book. The key features of the book are: Detailed solutions are provided to the Exercises in each chapter; Many of the missing steps that are often omitted from standard mathematical derivations have been provided to make the book easier to read and understand; A detailed introduction to Electrodynamics is provided so that the book is accessible to students who have not had a formal course in this area; In its treatment of modern differential geometry, the book employs both a modern, co-ordinate-free approach, and the standard co-ordinate-based approach. This makes the book attractive to a large audience of readers.Also, the book is particularly attractive to professional non-specialists who would like an easy to read introduction to the subject.
