The Geometry of Spacetime
Subtitle: An Introduction to Special and General Relativity
By: by James J. Callahan
Series: Undergraduate Texts in Mathematics; Undergraduate texts in mathematics
Publisher: Springer New York
Published: 2000
Place of publication: New York, NY
Language: eng
Format: [electronic resource] :
Number of pages: 454
ISBN-13: 9781441931429; 9781475767360
Subjects: Global differential geometry; Quantum theory; Physics
Description: 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 collaborates to gain objective knowledge of the world. He has tried to encompass both the general and special theory by using 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.
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Table of contents: title: Relativity Before 1905; title: Special Relativity - Kinematics; title: Special Relativity - Kinetics; title: Arbitrary Frames; title: Surfaces and Curvatures; title: Intrinsic Geometry; title: General Relativity; title: Consequences; title: Bibliography; title: Index.