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Beschreibung

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.

The book contains two intertwined but distinct halves.Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible.

The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.

The book contains two intertwined but distinct halves.Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible.

The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.

Inhaltsverzeichnis

Spacetime Geometry: Spacetime. Symmetries. Schwarzschild Geometry. Rindler Geometry. Black Holes. General Relativity: Warmup. Geodesic Deviation. Einstein's Equation. Cosmological Models. Solar System Applications. Differential Forms: Calculus Revisited.

Details
Erscheinungsjahr: 2024
Fachbereich: Astronomie
Genre: Importe, Physik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781032922164
ISBN-10: 1032922168
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Dray, Tevian
Hersteller: CRC Press
Verantwortliche Person für die EU: Taylor & Francis Verlag GmbH, Kaufingerstr. 24, D-80331 München, gpsr@taylorandfrancis.com
Maße: 229 x 150 x 18 mm
Von/Mit: Tevian Dray
Erscheinungsdatum: 14.10.2024
Gewicht: 0,522 kg
Artikel-ID: 129950967