Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields
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Spinors And Space Time Volume 2 Spinor And Twistor Methods In Space Time Geometry
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Author : Roger Penrose
language : en
Publisher: Cambridge University Press
Release Date : 1984
Spinors And Space Time Volume 2 Spinor And Twistor Methods In Space Time Geometry written by Roger Penrose and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Mathematics categories.
In the two volumes that comprise this work Roger Penrose and Wolfgang Rindler introduce the calculus of 2-spinors and the theory of twistors, and discuss in detail how these powerful and elegant methods may be used to elucidate the structure and properties of space-time. In volume 1, Two-spinor calculus and relativistic fields, the calculus of 2-spinors is introduced and developed. Volume 2, Spinor and twistor methods in space-time geometry, introduces the theory of twistors, and studies in detail how the theory of twistors and 2-spinors can be applied to the study of space-time. This work will be of great value to all those studying relativity, differential geometry, particle physics and quantum field theory from beginning graduate students to experts in these fields.
Spinors And Space Time
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Author : Roger Penrose
language : en
Publisher: Cambridge University Press
Release Date : 1984
Spinors And Space Time written by Roger Penrose and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Geometry, Differential categories.
Twistor Geometry And Field Theory
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Author : R. S. Ward
language : en
Publisher: Cambridge University Press
Release Date : 1990
Twistor Geometry And Field Theory written by R. S. Ward and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Deals with the twistor treatment of certain linear and non-linear partial differential equations. The description in terms of twistors involves algebraic and differential geometry, and several complex variables.
Quantum Field Theory In Curved Spacetime
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Author : Leonard Parker
language : en
Publisher: Cambridge University Press
Release Date : 2009-08-20
Quantum Field Theory In Curved Spacetime written by Leonard Parker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-20 with Science categories.
Quantum field theory in curved spacetime has been remarkably fruitful. It can be used to explain how the large-scale structure of the universe and the anisotropies of the cosmic background radiation that we observe today first arose. Similarly, it provides a deep connection between general relativity, thermodynamics, and quantum field theory. This book develops quantum field theory in curved spacetime in a pedagogical style, suitable for graduate students. The authors present detailed, physically motivated, derivations of cosmological and black hole processes in which curved spacetime plays a key role. They explain how such processes in the rapidly expanding early universe leave observable consequences today, and how in the context of evaporating black holes, these processes uncover deep connections between gravitation and elementary particles. The authors also lucidly describe many other aspects of free and interacting quantized fields in curved spacetime.
Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields
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Author : Roger Penrose
language : en
Publisher: Cambridge University Press
Release Date : 1987-02-05
Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields written by Roger Penrose and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-02-05 with Science categories.
This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.
Formulations Of General Relativity
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Author : Kirill Krasnov
language : en
Publisher: Cambridge University Press
Release Date : 2020-11-26
Formulations Of General Relativity written by Kirill Krasnov and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-26 with Science categories.
Carefully documenting the different formulations of general relativity, the author reveals valuable insight into the nature of the gravitational force and its interaction with matter. This book will interest graduate students and researchers in the fields of general relativity, gravitational physics and differential geometry.
Exact Space Times In Einstein S General Relativity
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Author : Jerry B. Griffiths
language : en
Publisher: Cambridge University Press
Release Date : 2009-10-15
Exact Space Times In Einstein S General Relativity written by Jerry B. Griffiths and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-15 with Science categories.
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
The Theory Of Spinors
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Author : Elie Cartan
language : en
Publisher: Courier Corporation
Release Date : 1981-02-01
The Theory Of Spinors written by Elie Cartan and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-02-01 with Mathematics categories.
The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he discovered the general mathematical form of spinors in 1913) systematically by giving a purely geometrical definition of these mathematical entities; this geometrical origin makes it very easy to introduce spinors into Riemannian geometry, and particularly to apply the idea of parallel transport to these geometrical entities. The book is divided into two parts. The first is devoted to generalities on the group of rotations in n-dimensional space and on the linear representations of groups, and to the theory of spinors in three-dimensional space. Finally, the linear representations of the group of rotations in that space (of particular importance to quantum mechanics) are also examined. The second part is devoted to the theory of spinors in spaces of any number of dimensions, and particularly in the space of special relativity (Minkowski space). While the basic orientation of the book as a whole is mathematical, physicists will be especially interested in the final chapters treating the applications of spinors in the rotation and Lorentz groups. In this connection, Cartan shows how to derive the "Dirac" equation for any group, and extends the equation to general relativity. One of the greatest mathematicians of the 20th century, Cartan made notable contributions in mathematical physics, differential geometry, and group theory. Although a profound theorist, he was able to explain difficult concepts with clarity and simplicity. In this detailed, explicit treatise, mathematicians specializing in quantum mechanics will find his lucid approach a great value.
Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields
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Author : Rouse Ball Professor of Mathematics Mathematical Institute Roger Penrose
language : en
Publisher:
Release Date : 2014-07-01
Spinors And Space Time Volume 1 Two Spinor Calculus And Relativistic Fields written by Rouse Ball Professor of Mathematics Mathematical Institute Roger Penrose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with SCIENCE categories.
This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.
Video And Image Processing In Multimedia Systems
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Author : Borko Furht
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Video And Image Processing In Multimedia Systems written by Borko Furht and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.
Video and Image Processing in Multimedia Systems treats a number of critical topics in multimedia systems, with respect to image and video processing techniques and their implementations. These techniques include: Image and video compression techniques and standards, and Image and video indexing and retrieval techniques. Video and Image Processing in Multimedia Systems is divided into three parts. Part I serves as an introduction to multimedia systems, discussing basic concepts, multimedia networking and synchronization, and an overview of multimedia applications. Part II presents comprehensive coverage of image and video compression techniques and standards, their implementations and applications. Because multimedia data (specifically video and images) require efficient compression techniques in order to be stored and delivered in real-time, video and image compression is a crucial element of an effective multimedia system. In Part III attention is focused on the semantic nature of image and video source material, and how that material may be effectively indexed and retrieved. Topics discussed include static images, full-motion video, and the manner in which compressed representations can facilitate structural analysis. Part III concludes with an extended discussion of a case study. This book serves as an invaluable reference with respect to the most important standards in the field. Video and Image Processing in Multimedia Systems is suitable as a textbook for course use.