Differential Geometry And Relativity Theory

Author : M. Cahen,M. Flato
Publisher : Springer Science & Business Media
Page : 324 pages
File Size : 46,6 Mb
Release : 1976-12-31
Category : Gardening
ISBN : 9027707456

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Differential Geometry and Relativity by M. Cahen,M. Flato Pdf

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 : RichardL. Faber
Publisher : Routledge
Page : 272 pages
File Size : 41,7 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351455152

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Differential Geometry and Relativity Theory by RichardL. Faber Pdf

Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a single source, this easy-to-understand text opens the general theory of relativityto mathematics majors having a backgr.ound only in multivariable calculus and linearalgebra.The book offers a broad overview of the physical foundations and mathematical details ofrelativity, and presents concrete physical interpretations of numerous abstract concepts inRiemannian geometry. The work is profusely illustrated with diagrams aiding in the understandingof proofs and explanations. Appendices feature important material on vectoranalysis and hyperbolic functions.Differential Geometry and Relativity Theory: An Introduction serves as the ideal textfor high-level undergraduate couues in mathematics and physics, and includes a solutionsmanual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and IUemannian geometry, or the special and general theories ofrelativity

Author : Marcus Kriele
Publisher : Springer Science & Business Media
Page : 436 pages
File Size : 45,5 Mb
Release : 2003-07-01
Category : Science
ISBN : 9783540483540

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Spacetime by Marcus Kriele Pdf

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.

Author : Izaak Walton,Jonquil Bevan
Publisher : Unknown
Page : 168 pages
File Size : 47,7 Mb
Release : 1988
Category : Fishing
ISBN : UCAL:B5116153

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Izaak Walton's the Compleat Angler by Izaak Walton,Jonquil Bevan Pdf

Author : RichardL Faber
Publisher : Unknown
Page : 128 pages
File Size : 45,6 Mb
Release : 2017
Category : Electronic books
ISBN : 1351455133

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Differential Geometry and Relativity Theory by RichardL Faber Pdf

"Differentilil Geometry and Relativity Theory: An Introduction approaches relativity asa geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rathe1 than a force. Uniting differential geometry and both special and generalrelativity in a single source, this easy-to-understand text opens the general theory of relativityto mathematics majors having a backgr.ound only in multivariable calculus and linearalgebra. The book offers a broad overview of the physical foundations and mathematical details ofrelativity, and presents concrete physical interpretations of numerous abstract concepts inRiemannian geometry. The work is profusely illustrated with diagrams aiding in the understandingof proofs and explanations. Appendices feature important material on vectoranalysis and hyperbolic functions. Differential Geometry and Relativity Theory: An Introduction serves as the ideal textfor high-level undergraduate couues in mathematics and physics, and includes a solutionsmanual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and IUemannian geometry, or the special and general theories ofrelativity"--Provided by publisher.

Author : Tevian Dray
Publisher : CRC Press
Page : 324 pages
File Size : 49,7 Mb
Release : 2014-10-20
Category : Mathematics
ISBN : 9781466510005

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Differential Forms and the Geometry of General Relativity by Tevian Dray Pdf

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible. The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.

Author : John K. Beem,Advances in Differential Geometry Beemfest,Stamatis A. Dostoglou,Paul E. Ehrlich
Publisher : American Mathematical Soc.
Page : 138 pages
File Size : 54,8 Mb
Release : 2004
Category : General relativity (Physics)
ISBN : 9780821835395

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Advances in Differential Geometry and General Relativity by John K. Beem,Advances in Differential Geometry Beemfest,Stamatis A. Dostoglou,Paul E. Ehrlich Pdf

This volume consists of expanded versions of invited lectures given at The Beemfest: Advances in Differential Geometry and General Relativity (University of Missouri-Columbia) on the occasion of Professor John K. Beem's retirement. The articles address problems in differential geometry in general and in particular, global Lorentzian geometry, Finsler geometry, causal boundaries, Penrose's cosmic censorship hypothesis, the geometry of differential operators with variable coefficients on manifolds, and asymptotically de Sitter spacetimes satisfying Einstein's equations with positive cosmological constant. The book is suitable for graduate students and research mathematicians interested in differential geometry.

Author : M. Göckeler,T. Schücker
Publisher : Cambridge University Press
Page : 248 pages
File Size : 52,5 Mb
Release : 1989-07-28
Category : Mathematics
ISBN : 0521378214

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Differential Geometry, Gauge Theories, and Gravity by M. Göckeler,T. Schücker Pdf

Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced using digital technology. This technology has enabled Cambridge to keep the book in print for specialists and students when traditional methods of reprinting would not have been feasible. While the new digital cover differs from the original, the text content is identical to that of previous printings.

Author : Anastasios Mallios
Publisher : Springer Science & Business Media
Page : 293 pages
File Size : 46,7 Mb
Release : 2006-07-27
Category : Mathematics
ISBN : 9780817644741

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Modern Differential Geometry in Gauge Theories by Anastasios Mallios Pdf

This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable

Author : Antonio Romano,Mario Mango Furnari
Publisher : Springer Nature
Page : 496 pages
File Size : 50,6 Mb
Release : 2019-09-25
Category : Science
ISBN : 9783030272371

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The Physical and Mathematical Foundations of the Theory of Relativity by Antonio Romano,Mario Mango Furnari Pdf

This unique textbook offers a mathematically rigorous presentation of the theory of relativity, emphasizing the need for a critical analysis of the foundations of general relativity in order to best study the theory and its implications. The transitions from classical mechanics to special relativity and then to general relativity are explored in detail as well, helping readers to gain a more profound and nuanced understanding of the theory as a whole. After reviewing the fundamentals of differential geometry and classical mechanics, the text introduces special relativity, first using the physical approach proposed by Einstein and then via Minkowski’s mathematical model. The authors then address the relativistic thermodynamics of continua and electromagnetic fields in matter – topics which are normally covered only very briefly in other treatments – in the next two chapters. The text then turns to a discussion of general relativity by means of the authors’ unique critical approach, underlining the difficulty of recognizing the physical meaning of some statements, such as the physical meaning of coordinates and the derivation of physical quantities from those of space-time. Chapters in this section cover the model of space-time proposed by Schwarzschild; black holes; the Friedman equations and the different cosmological models they describe; and the Fermi-Walker derivative. Well-suited for graduate students in physics and mathematics who have a strong foundation in real analysis, classical mechanics, and general physics, this textbook is appropriate for a variety of graduate-level courses that cover topics in relativity. Additionally, it will interest physicists and other researchers who wish to further study the subtleties of these theories and understand the contemporary scholarly discussions surrounding them.

Author : Chris J. Isham
Publisher : Allied Publishers
Page : 308 pages
File Size : 50,5 Mb
Release : 2002
Category : Geometry, Differential
ISBN : 8177643169

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Modern Differential Geometry for Physicists by Chris J. Isham Pdf

Author : James J. Callahan
Publisher : Springer Science & Business Media
Page : 474 pages
File Size : 49,8 Mb
Release : 2013-03-09
Category : Science
ISBN : 9781475767360

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The Geometry of Spacetime by James J. Callahan Pdf

Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory.

Author : Theodore Frankel
Publisher : Courier Corporation
Page : 194 pages
File Size : 50,5 Mb
Release : 2013-04-10
Category : Science
ISBN : 9780486289151

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Gravitational Curvature by Theodore Frankel Pdf

This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to gravitational curvature, it emphasizes the subject's geometric essence and stresses the global aspects of cosmology. Suitable for independent study as well as for courses in differential geometry, relativity, and cosmology. 1979 edition.

Author : Roger Penrose
Publisher : SIAM
Page : 80 pages
File Size : 53,5 Mb
Release : 1972-01-01
Category : Technology & Engineering
ISBN : 1611970601

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Techniques of Differential Topology in Relativity by Roger Penrose Pdf

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 : Paul Renteln
Publisher : Cambridge University Press
Page : 343 pages
File Size : 54,6 Mb
Release : 2014
Category : Mathematics
ISBN : 9781107042193

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Manifolds, Tensors and Forms by Paul Renteln Pdf

Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.