An Introduction to Tensor Analysis and Its Geometrical Applications

Author: Jan Arnoldus Schouten

Publisher: Springer Science & Business Media

ISBN: 3662129272

Category: Mathematics

Page: 514

View: 998

This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.
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Author: Marcel Berger

Publisher: Springer Science & Business Media

ISBN: 3642182453

Category: Mathematics

Page: 824

View: 2845

This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed proofs but the main ideas involved are described, affording the reader a sweeping panoramic view of almost the entirety of the field. From the reviews "The book has intrinsic value for a student as well as for an experienced geometer. Additionally, it is really a compendium in Riemannian Geometry." --MATHEMATICAL REVIEWS
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A Centennial Perspective

Author: Abhay Ashtekar,Beverly Berger,James Isenberg,Malcolm MacCallum

Publisher: Cambridge University Press

ISBN: 110703731X

Category: Science

Page: 696

View: 2136

Explore spectacular advances in contemporary physics with this unique celebration of the centennial of Einstein's discovery of general relativity.
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Author: George F. R. Ellis,Roy Maartens,Malcolm A. H. MacCallum

Publisher: Cambridge University Press

ISBN: 0521381150

Category: Science

Page: 622

View: 1032

Surveying key developments and open issues in cosmology for graduate students and researchers, this book focuses on the general concepts and relations that underpin the standard model of the Universe. It also examines anisotropic and inhomogeneous models, and deeper issues, such as quantum cosmology and the multiverse proposal.
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Annales Academiae Scientiarum Fennicae. Series A. I, Mathematica. Mathematica

Author: Suomalainen Tiedeakatemia

Publisher: N.A

ISBN: N.A

Category: Education

Page: N.A

View: 3712

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Mathematica

Author: Suomalainen Tiedeakatemia

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 4832

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Pamphlets, leaflets, contributions to newspapers or periodicals, etc., maps

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 6144

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Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 1311

Issues for Dec. 1952- include section: Nachrichten der Österreichischen Mathematischen Gesellschaft.
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Author: Hanspeter Kraft

Publisher: Springer-Verlag

ISBN: 3663101436

Category: Technology & Engineering

Page: 308

View: 4313

In dieser Einführung geht es vor allem um die geometrischen Aspekte der Invariantentheorie. Die hauptsächliche Motivation bildet das Studium von Klassifikations- und Normalformenproblemen, die auch historisch der Ausgangspunkt für invariantentheoretische Untersuchungen waren.
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Author: Clifford M. Will

Publisher: Springer-Verlag

ISBN: 3642743145

Category: Science

Page: 275

View: 9006

Keine wissenschaftliche Theorie ist auf solche Faszination auch außerhalb der Wissenschaft gestoßen wie die Allgemeine Relativitätstheorie von Albert Einstein, und keine wurde so nachdrücklich mit den Mitteln der modernen Physik überprüft. Wie hat sie diesen Test mit Raumsonden, Radioastronomie, Atomuhren und Supercomputern standgehalten? Hatte Einstein recht? Mit der Autorität des Fachmanns und dem Flair des unvoreingenommenen Erzählers schildert Clifford Will die Menschen, Ideen und Maschinen hinter den Tests der allgemeinen Relativitätstheorie. Ohne Formeln und Fachjargon wird der leser mit Einsteins Gedanken vertraut und erfährt von der Bestätigung seiner Vorhersagen, angefangen bei der Lichtablenkung im Schwerefeld der Sonne 1919 bis zu den ausgefeilten Kreiselexperimenten auf dem Space Shuttle. Die Allgemeine Relativitätstheorie hat nich nur alle diese Tests bestanden, sie hat darüber hinaus wesentlich beigetragen zu unserem Verständnis von Phänomenen wie Pulsaren, Quasaren, Schwarzen Löchern und Gravitationslinsen. Dieses Buch erzählt lebendig und spannend die Geschichte einer der größten geistigen Leistungen unserer Zeit.
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