Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Techniques Of Differential Topology In Relativity PDF full book. Access full book title Techniques Of Differential Topology In Relativity.
| Author | : Roger Penrose |
| Publisher | : SIAM |
| Total Pages | : 76 |
| Release | : 1972-06-01 |
| Genre | : Technology & Engineering |
| ISBN | : 0898710057 |
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.
| Author | : Roger Penrose |
| Publisher | : |
| Total Pages | : 72 |
| Release | : 1987 |
| Genre | : Differential topology |
| ISBN | : |
| Author | : Roger Penrose |
| Publisher | : SIAM |
| Total Pages | : 80 |
| Release | : 1972-01-01 |
| Genre | : Technology & Engineering |
| ISBN | : 9781611970609 |
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.
| Author | : |
| Publisher | : |
| Total Pages | : |
| Release | : |
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| Author | : M. Karoubi |
| Publisher | : Cambridge University Press |
| Total Pages | : 380 |
| Release | : 1987 |
| Genre | : Mathematics |
| ISBN | : 9780521317146 |
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.
| Author | : C. T. C. Wall |
| Publisher | : Cambridge University Press |
| Total Pages | : 355 |
| Release | : 2016-07-04 |
| Genre | : Mathematics |
| ISBN | : 1316673286 |
Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.
| Author | : Jörg Frauendiener |
| Publisher | : Springer |
| Total Pages | : 281 |
| Release | : 2009-09-02 |
| Genre | : Science |
| ISBN | : 9783540819288 |
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.
| Author | : M. Cahen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 324 |
| Release | : 1976-12-31 |
| Genre | : Gardening |
| ISBN | : 9789027707451 |
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.
| Author | : David Chillingworth |
| Publisher | : Fearon Publishers |
| Total Pages | : 316 |
| Release | : 1976 |
| Genre | : Mathematics |
| ISBN | : |
| Author | : Marcus Kriele |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 444 |
| Release | : 2003-07-01 |
| Genre | : Science |
| ISBN | : 3540483543 |
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.
