Techniques of Differential Topology in Relativity

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Publisher : SIAM
ISBN 13 : 0898710057
Total Pages : 76 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Techniques of Differential Topology in Relativity by : Roger Penrose

Download or read book Techniques of Differential Topology in Relativity written by Roger Penrose and published by SIAM. This book was released on 1972-06-01 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.

Techniques in differential topology in relativity

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Publisher :
ISBN 13 :
Total Pages : 72 pages
Book Rating : 4.:/5 (118 download)

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Book Synopsis Techniques in differential topology in relativity by : Roger Penrose

Download or read book Techniques in differential topology in relativity written by Roger Penrose and published by . This book was released on 1987 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Techniques of Differential Topology in Relativity

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Author :
Publisher : SIAM
ISBN 13 : 9781611970609
Total Pages : 80 pages
Book Rating : 4.9/5 (76 download)

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Book Synopsis Techniques of Differential Topology in Relativity by : Roger Penrose

Download or read book Techniques of Differential Topology in Relativity written by Roger Penrose and published by SIAM. This book was released on 1972-01-01 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acquaints the specialist in relativity theory with some global techniques for the treatment of space-times and will provide the pure mathematician with a way into the subject of general relativity.

TECHNIQUES OF DIFFERENTIAL TOPOLOGY IN RELATIVITY- BASED ON LECTURES- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (888 download)

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Book Synopsis TECHNIQUES OF DIFFERENTIAL TOPOLOGY IN RELATIVITY- BASED ON LECTURES- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS by :

Download or read book TECHNIQUES OF DIFFERENTIAL TOPOLOGY IN RELATIVITY- BASED ON LECTURES- CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES- REGIONAL CONFERENCE SERIES IN APPLIED MATHEMATICS written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Local and Global Differential Geometry in General Relativity

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Author :
Publisher : Springer
ISBN 13 : 9783662178812
Total Pages : 200 pages
Book Rating : 4.1/5 (788 download)

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Book Synopsis Methods of Local and Global Differential Geometry in General Relativity by : D Farnsworth

Download or read book Methods of Local and Global Differential Geometry in General Relativity written by D Farnsworth and published by Springer. This book was released on 2014-01-15 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Local and Global Differential Geometry in General Relativity

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (959 download)

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Book Synopsis Methods of Local and Global Differential Geometry in General Relativity by : Regional Conference on Relativity (1970 : University of Pittsburgh)

Download or read book Methods of Local and Global Differential Geometry in General Relativity written by Regional Conference on Relativity (1970 : University of Pittsburgh) and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Local and Global Differential Geometry in General Relativity

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Methods of Local and Global Differential Geometry in General Relativity by :

Download or read book Methods of Local and Global Differential Geometry in General Relativity written by and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Methods of Local and Global Differential Geometry in General Relativity

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Author :
Publisher : Springer
ISBN 13 : 9780387057934
Total Pages : 0 pages
Book Rating : 4.0/5 (579 download)

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Book Synopsis Methods of Local and Global Differential Geometry in General Relativity by : D. Farnsworth

Download or read book Methods of Local and Global Differential Geometry in General Relativity written by D. Farnsworth and published by Springer. This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Analytical and Numerical Approaches to Mathematical Relativity

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Author :
Publisher : Springer
ISBN 13 : 9783540819288
Total Pages : 281 pages
Book Rating : 4.8/5 (192 download)

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Book Synopsis Analytical and Numerical Approaches to Mathematical Relativity by : Jörg Frauendiener

Download or read book Analytical and Numerical Approaches to Mathematical Relativity written by Jörg Frauendiener and published by Springer. This book was released on 2009-09-02 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.

Algebraic Topology Via Differential Geometry

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521317146
Total Pages : 380 pages
Book Rating : 4.3/5 (171 download)

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Book Synopsis Algebraic Topology Via Differential Geometry by : M. Karoubi

Download or read book Algebraic Topology Via Differential Geometry written by M. Karoubi and published by Cambridge University Press. This book was released on 1987 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

Analytical and Numerical Approaches to Mathematical Relativity

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Publisher : Springer
ISBN 13 : 354033484X
Total Pages : 288 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analytical and Numerical Approaches to Mathematical Relativity by : Jörg Frauendiener

Download or read book Analytical and Numerical Approaches to Mathematical Relativity written by Jörg Frauendiener and published by Springer. This book was released on 2006-03-28 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: General relativity ranks among the most accurately tested fundamental theories in all of physics. Deficiencies in mathematical and conceptual understanding still exist, hampering further progress. This book collects surveys by experts in mathematical relativity writing about the current status of, and problems in, their fields. There are four contributions for each of the following mathematical areas: differential geometry and differential topology, analytical methods and differential equations, and numerical methods.

Spacetime

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3540483543
Total Pages : 444 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Spacetime by : Marcus Kriele

Download or read book Spacetime written by Marcus Kriele and published by Springer Science & Business Media. This book was released on 2003-07-01 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Conformal Methods in General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 1316688070
Total Pages : 625 pages
Book Rating : 4.3/5 (166 download)

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Book Synopsis Conformal Methods in General Relativity by : Juan A. Valiente Kroon

Download or read book Conformal Methods in General Relativity written by Juan A. Valiente Kroon and published by Cambridge University Press. This book was released on 2016-07-21 with total page 625 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a systematic exposition of conformal methods and how they can be used to study the global properties of solutions to the equations of Einstein's theory of gravity. It shows that combining these ideas with differential geometry can elucidate the existence and stability of the basic solutions of the theory. Introducing the differential geometric, spinorial and PDE background required to gain a deep understanding of conformal methods, this text provides an accessible account of key results in mathematical relativity over the last thirty years, including the stability of de Sitter and Minkowski spacetimes. For graduate students and researchers, this self-contained account includes useful visual models to help the reader grasp abstract concepts and a list of further reading, making this the perfect reference companion on the topic.

Algebraic Topology Via Differential Geometry

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Publisher :
ISBN 13 : 9781107361317
Total Pages : 375 pages
Book Rating : 4.3/5 (613 download)

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Book Synopsis Algebraic Topology Via Differential Geometry by : Max Karoubi

Download or read book Algebraic Topology Via Differential Geometry written by Max Karoubi and published by . This book was released on 2014-05-14 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

Differential Geometry and Relativity

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Publisher : Springer Science & Business Media
ISBN 13 : 9789027707451
Total Pages : 324 pages
Book Rating : 4.7/5 (74 download)

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Book Synopsis Differential Geometry and Relativity by : M. Cahen

Download or read book Differential Geometry and Relativity written by M. Cahen and published by Springer Science & Business Media. This book was released on 1976-12-31 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the sixtieth birthday of Andre Lichnerowicz a number of his friends, students, and coworkers decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work: differential geometry and mathematical physics. It was impossible to reflect in a single book the great variety of subjects tackled by Lichnerowicz. We hope that this book reflects some of the present trends of fields in which he worked, and some of the subjects to which he contributed in his long - and not yet finished - career. This career was very much marked by the influence of his masters, Elie Cartan who introduced him to research in mathematics, mainly in geometry and its relations with mathematical physics, and Georges Darmois who developed his interest in mechanics and physics, especially the theory of relativity and electromagnetism. This combination, and his personal talent, made him a natural scientific heir and continuator of the French mathematical physics school in the tradition of Henri Poincare. Some of his works would even be best qualified by a new field name, that of physical mathematics: branches of pure mathematics entirely motivated by physics.

Introduction to Differential Topology

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Publisher : Cambridge University Press
ISBN 13 : 9780521284707
Total Pages : 176 pages
Book Rating : 4.2/5 (847 download)

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Book Synopsis Introduction to Differential Topology by : Theodor Bröcker

Download or read book Introduction to Differential Topology written by Theodor Bröcker and published by Cambridge University Press. This book was released on 1982-09-16 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

Ten Lectures on the Probabilistic Method

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Publisher : SIAM
ISBN 13 : 9781611970074
Total Pages : 98 pages
Book Rating : 4.9/5 (7 download)

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Book Synopsis Ten Lectures on the Probabilistic Method by : Joel Spencer

Download or read book Ten Lectures on the Probabilistic Method written by Joel Spencer and published by SIAM. This book was released on 1994-01-01 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: This update of the 1987 title of the same name is an examination of what is currently known about the probabilistic method, written by one of its principal developers. Based on the notes from Spencer's 1986 series of ten lectures, this new edition contains an additional lecture: The Janson inequalities. These inequalities allow accurate approximation of extremely small probabilities. A new algorithmic approach to the Lovasz Local Lemma, attributed to Jozsef Beck, has been added to Lecture 8, as well. Throughout the monograph, Spencer retains the informal style of his original lecture notes and emphasizes the methodology, shunning the more technical "best possible" results in favor of clearer exposition. The book is not encyclopedic--it contains only those examples that clearly display the methodology. The probabilistic method is a powerful tool in graph theory, combinatorics, and theoretical computer science. It allows one to prove the existence of objects with certain properties (e.g., colorings) by showing that an appropriately defined random object has positive probability of having those properties.