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The Geometry of Spacetime (Undergraduate Texts in Mathematics)

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The Geometry of Spacetime (Undergraduate Texts in Mathematics) Cover

 

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.

Table of Contents

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

Product Details

ISBN:
9780387986418
Author:
Callahan, James
Publisher:
Springer
Author:
Callahan, James J.
Author:
Callahan
Author:
James, J.
Location:
New York, NY
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
Subject:
Physics
Subject:
Language, literature and biography
Subject:
mathematics and statistics
Subject:
Quantum Theory
Subject:
Global differential geometry.
Copyright:
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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Related Subjects


Science and Mathematics » Mathematics » General
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Relativity Theory

The Geometry of Spacetime (Undergraduate Texts in Mathematics) New Hardcover
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Product details 470 pages Springer-Verlag - English 9780387986418 Reviews:
"Synopsis" by , 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.
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