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The Geometry of Spacetime: An Introduction to Special and General Relativity / Edition 1
     

The Geometry of Spacetime: An Introduction to Special and General Relativity / Edition 1

by James J. Callahan
 

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ISBN-10: 1441931422

ISBN-13: 9781441931429

Pub. Date: 11/30/2013

Publisher: Springer New York

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.

Overview

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.

Product Details

ISBN-13:
9781441931429
Publisher:
Springer New York
Publication date:
11/30/2013
Series:
Undergraduate Texts in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 2000
Pages:
463
Product dimensions:
6.69(w) x 9.61(h) x 0.97(d)

Table of Contents

1 Relativity Before 1905.- 2 Special Relativity-Kinematics.- 3 Special Relativity-Kinetics.- 4 Arbitrary Frames.- 5 Surfaces and Curvature.- 6 Intrinsic Geometry.- 7 General Relativity.- 8 Consequences.

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