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The Geometry of Spacetime (Undergraduate Texts in Mathematics)

by James Callahan

Comment on this title and you could win free books! Synopses & Reviews Table of Contents Comment on this title and you could win free books! ISBN13: 9780387986418 ISBN10: 0387986413 Condition: All Product Details

 

Synopses & Reviews

Publisher Comments:

In 1905, Albert Einstein offered a revolutionary theory--special relativity--to explain some of the most troubling problems in current physics concerning electromagnetism and motion. Soon afterwards, Hermann Minkowski recast special relativity essentially as a new geometric structure for spacetime. These ideas are the subject of the first part of the book. The second part develops the main implications of Einstein's general relativity as a theory of gravity rooted in the differential geometry of surfaces. The author explores the way an individual observer views the world and how a pair of observers collaborate to gain objective knowledge of the world. To encompass both the general and special theory, he uses the geometry of spacetime as the unifying theme of the book. To read it, one needs only a first course in linear algebra and multivariable calculus and familiarity with the physical applications of calculus.

Synopsis:

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.

Description:

Includes bibliographical references (p. 435-437) and index.

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Table of Contents

* Relativity before 1905 * Special relativity--kinematics * Special relativity--kinetics * Arbitrary frames * Surfaces and curvatures * Intrinsic geometry * General relativity * Consequences

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Product Details

ISBN:

9780387986418

Author:

Callahan, James

Publisher:

Springer

Author:

Callahan, James J.

Location:

New York :

Subject:

General

Subject:

Cosmology

Subject:

Algebras, linear

Subject:

Mathematical Physics

Subject:

Relativity

Subject:

Calculus of variations

Subject:

Space and time

Subject:

Relativity (physics)

Subject:

Physics-Relativity Theory

Subject:

Gravity

Subject:

Classical and Quantum Gravitation, Relativity Theory

Subject:

Quantum physics.

Subject:

Quantum Information Technology, Spintronics

Subject:

Differential geometry

Copyright:

2000

Edition Number:

1

Edition Description:

2000. Corr. 2nd

Series:

Undergraduate Texts in Mathematics

Series Volume:

105-160

Publication Date:

19991217

Binding:

HARDCOVER

Language:

English

Illustrations:

Y

Pages:

470

Dimensions:

235 x 178 mm 960 gr

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The Geometry of Spacetime (Undergraduate Texts in Mathematics) New Hardcover James Callahan

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Product details 470 pages Springer-Verlag - 1999-12-00 English 9780387986418 Reviews:

"Synopsis" by Springer, 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.