The Geometry of Spacetime: A Mathematical Introduction to Relativity Theory
Oloff, Rainer
- 出版商: Springer
- 出版日期: 2024-05-09
- 售價: $2,640
- 貴賓價: 9.5 折 $2,508
- 語言: 英文
- 頁數: 274
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031161416
- ISBN-13: 9783031161414
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商品描述
This book systematically develops the mathematical foundations of the theory of relativity and links them to physical relations. For this purpose, differential geometry on manifolds is introduced first, including differentiation and integration, and special relativity is presented as tensor calculus on tangential spaces. Using Einstein's field equations relating curvature to matter, the relativistic effects in the solar system including black holes are discussed in detail.
The text is aimed at students of physics and mathematics and assumes only basic knowledge of classical differential and integral calculus and linear algebra.
商品描述(中文翻譯)
本書系統地發展了相對論的數學基礎並將其與物理關係相關聯。為此，首先介紹了流形上的微分幾何，包括微分和積分，並將特殊相對論作為切空間上的張量計算呈現。利用愛因斯坦的場方程將曲率與物質相關聯，詳細討論了太陽系中的相對論效應，包括黑洞。
本書針對物理和數學專業的學生，僅假設具備基本的經典微分和積分計算以及線性代數知識。
作者簡介
Rainer Oloff received his doctorate, and later taught, at the Friedrich Schiller University of Jena, specializing in the field of analysis. He also had sojourns teaching at the Addis Ababa University and the University of Salzburg.
作者簡介(中文翻譯)
Rainer Oloff在Friedrich Schiller University of Jena取得博士學位，並在該校任教，專攻分析領域。他還曾在Addis Ababa University和University of Salzburg任教。
