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The Geometry of Spacetime
An Introduction to Special and General Relativity
Buch von James J. Callahan
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
Preliminary Text. DO NOT USE. In 1905, Albert Einstein offered a revolutionary theory--special relativity--to explain some of the most troubling problems about electromagnetism and motion in the physics of the day. 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 introduces the theory of frames, surfaces, and intrinsic geometry in order to develop the main implications of Einstein's general relativity.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1999
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
454 S.
219 s/w Illustr.
3 s/w Fotos
216 s/w Zeichng.
ISBN-13: 9780387986418
ISBN-10: 0387986413
Sprache: Englisch
Einband: Gebunden
Autor: Callahan, James J.
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 183 x 31 mm
Von/Mit: James J. Callahan
Erscheinungsdatum: 17.12.1999
Gewicht: 1,018 kg
Artikel-ID: 104624365
Zusammenfassung
Preliminary Text. DO NOT USE. In 1905, Albert Einstein offered a revolutionary theory--special relativity--to explain some of the most troubling problems about electromagnetism and motion in the physics of the day. 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 introduces the theory of frames, surfaces, and intrinsic geometry in order to develop the main implications of Einstein's general relativity.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 1999
Fachbereich: Geometrie
Genre: Importe, Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Inhalt: xiv
454 S.
219 s/w Illustr.
3 s/w Fotos
216 s/w Zeichng.
ISBN-13: 9780387986418
ISBN-10: 0387986413
Sprache: Englisch
Einband: Gebunden
Autor: Callahan, James J.
Hersteller: Springer US
Springer New York
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 241 x 183 x 31 mm
Von/Mit: James J. Callahan
Erscheinungsdatum: 17.12.1999
Gewicht: 1,018 kg
Artikel-ID: 104624365
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