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3 edition of Geometric theory of generalized functions with applications to general relativity found in the catalog.

Geometric theory of generalized functions with applications to general relativity

Geometric theory of generalized functions with applications to general relativity

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  • 29 Currently reading

Published by Kluwer Academic Publishers in Dordrecht, Boston .
Written in English

    Subjects:
  • Theory of distributions (Functional analysis),
  • General relativity (Physics)

  • Edition Notes

    Includes bibliographical references (p. 479-495) and indexes.

    Statementby Michael Grosser ... [et al.].
    SeriesMathematics and its applications -- v. 537, Mathematics and its applications (Kluwer Academic Publishers) -- v. 537.
    ContributionsGrosser, Michael.
    Classifications
    LC ClassificationsQA324 .G47 2001
    The Physical Object
    Paginationxv, 505 p. ;
    Number of Pages505
    ID Numbers
    Open LibraryOL21801292M
    ISBN 101402001452
    LC Control Number2001053986

    To find for another ebook geometric theory of generalized functions with applications to general relativity 1st softcover of o, our library is free for you. We provide copy of geometric theory of generalized functions with applications to general relativity 1st softcover of o in digital format, so the resources that you find are reliable. Generalized function Last updated December 26, In mathematics, generalized functions, or distributions, are objects extending the notion of cie-du-scenographe.com is more than one recognized theory. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point charges.

    Starting with the idea of an event and finishing with a description of the standard big-bang model of the Universe, this textbook provides a clear, concise and up-to-date introduction to the theory of general relativity, suitable for final-year undergraduate mathematics or physics students. Throughout, the emphasis is on the geometric structure of spacetime, rather than the traditional 4/5(1). I was originally trained as a mathematical physicist specializing in general relativity. Over the years I have developped a broad interest in several topics in analysis, geometry and mathematical physics. My current research interests include but are not confined to the following list: Mathematical General Relativity.

    Like the original, the focus is on the formalism underlying general relativity, thus there is no physics and virtually no discussion of exact solutions. Wre seriously, the Cauchy problem is not considered. My only defense for such an cmission is that certain cbices have to be made and to do the matter justice muld require another bk. The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity) — Joh. Ambr. Barth, ; this book assumes some familiarity with the special theory of relativity. v.


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Geometric theory of generalized functions with applications to general relativity Download PDF EPUB FB2

Geometric Theory of Generalized Functions with Applications to General Relativity. Authors: Grosser, M., Kunzinger, M due to a growing number of applications to questions of a more geometric nature.

The present book is intended to provide an in-depth presentation of these develop­ ments comprising its structural aspects within the theory. Geometric Theory of Generalized Functions with Applications to General Relativity.

due to a growing number of applications to questions of a more geometric nature. The present book is intended to provide an in-depth presentation of these develop­ ments comprising its structural aspects within the theory of generalized functions as well as.

Buy Geometric Theory of Generalized Functions with Applications to General Relativity (Mathematics and Its Applications) on cie-du-scenographe.com FREE SHIPPING on qualified ordersCited by: In mathematics, generalized functions, or distributions, are objects extending the notion of cie-du-scenographe.com is more than one recognized theory.

Generalized functions are especially useful in making discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point cie-du-scenographe.com are applied extensively, especially in physics and engineering.

Geometric theory of generalized functions with applications to general relativity. [Michael Grosser;] on differentiable manifolds. This book places emphasis on a Read more Rating: (not yet rated) 0 with reviews - Be the first.

Subjects: Theory of distributions (Functional analysis) General relativity (Physics). Abstract. The aim of this chapter is a detailed study of applicability and applications of distributional geometry as developed in the previous chapters—with its special focus, of course, on the generalized pseudo-Riemannian geometry of Section —to the theory of general cie-du-scenographe.com by: 1.

General relativity (GR), also known as the general theory of relativity (GTR), is the geometric theory of gravitation published by Albert Einstein in and the current description of gravitation in modern cie-du-scenographe.coml relativity generalizes special relativity and refines Newton's law of universal gravitation, providing a unified description of gravity as a geometric property of space and.

from book Steinbauer R: Geometric Theory of Generalized Functions with Applications to General Relativity (pp) Chapter · January with 62 Reads How we measure 'reads'.

Get this from a library. Geometric Theory of Generalized Functions with Applications to General Relativity. [Michael Grosser; M Kunzinger; Michael Oberguggenberger; Roland Steinbauer] -- This work provides the first comprehensive introduction to the nonlinear theory of generalized functions (in the sense of Colombeau's construction) on differentiable manifolds.

Mar 06,  · Geometric Theory of Generalized Functions with Applications to General Relativity Mathematics and It Theory of Generalization Lecture. Geometric Theory of Generalized Functions with Applications to General Relativity Michael Grosser, Michael Kunzinger, Michael Obergugenberger, Roland Steinbauer Categories: Physics\\Theory of Relativity and Gravitation.

With some research I arrived at this book: "Geometric Theory of Generalized Functions with Applications to General Relativity (Mathematics and Its Applications) (Volume )" by Michael Grosser, Michael Kunzinger, Michael Oberguggenberger and Roland Steinbauer. You can find the index (and some pages) on google books or amazon.

A First Course in General Relativity provides a good introduction to general relativity. Almost half of the book develops needed mathematical background. Applications--gravitational waves, stars, black holes, and cosmology--are included. The book is easy to read.

General relativity (GR) is a theory of gravitation that was developed by Albert Einstein between andwith contributions by many others after According to general relativity, the observed gravitational attraction between masses results from the warping of space and time by those masses.

In the introduction of D. Christodoulou's book "Mathematical Problems of General Relativity I", he refers a few times to the second volume. With some research I arrived at this book: "Geometric Theory of Generalized Functions with schwartz-distributions general-relativity generalized-functions.

Newest general-relativity questions feed. The Night Fire. Michael Connelly. € €. General relativity was Einstein’s theory of gravity, published inwhich extended special relativity to take into account non-inertial frames of reference — areas that are accelerating with respect to each other.

General relativity takes the form of field equations, describing the curvature of space-time and the distribution of matter throughout space-time. The effects of. In this article we look at the extent to which one can use classical linear distributional geometry in general relativity. We then go on to look at a non-linear theory of distributional geometry.

After covering special relativity again from the geometric point of view, the text discusses standard paradoxes, applications to relativistic mechanics, the relativistic unification of electricity and magnetism, and further steps leading to Einstein’s general theory of relativity.

The book also briefly describes the further steps leading to. General relativity is a beautiful scheme for describing the gravitational fleld and the equations it obeys.

Nowadays this theory is often used as a prototype for other, more intricate constructions to describe forces between elementary particles or other branches of fundamental physics.

This is why in an introduction to general relativity it is of. Scientific Publications Research Monographs [M2] Geometric Theory of Generalized Functions (with Applications to General Relativity) (This item received a Featured Review by the AMS) Authors: Michael Grosser, Michael Kunzinger, Michael Oberguggenberger, Roland Steinbauer MSC-class: 46F30; 35A30, 35Q75,46T30,83C99 Ref: Mathematics and its Applications, Vol.Kluwer.

Jan 22,  · When designing an elevator, you can simply assume that gravity behaves as Newton describes, and design your elevator using the physics derived therein.

But for outer space technology, such as satellites, it’s necessary to take general relativity into account. There are also astrophysical applications of general relativity.Einstein's general theory of relativity requires a curved space for the description of the physical world.

If one wishes to go beyond superficial discussions of the physical relations involved, one needs to set up precise equations for handling curved space. The well-established mathematical technique that accomplishes this is clearly described in this classic book by Nobel Laureate P.A.M.

Dirac.4/5(6).