Differential Forms and the Geometry of General Relativity

Differential Forms and the Geometry of General Relativity pdf epub mobi txt 电子书 下载 2025

出版者:A K Peters/CRC Press
作者:Tevian Dray
出品人:
页数:321
译者:
出版时间:2014-10-20
价格:USD 49.95
装帧:Hardcover
isbn号码:9781466510005
丛书系列:
图书标签:
  • 物理 
  • 数学 
  • 物理-相对论 
  • 数学-微分形式 
  • 数学-微分几何 
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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.

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