An Introduction to Mathematical Relativity
暫譯: 數學相對論導論
Natário, José
- 出版商: Springer
- 出版日期: 2021-03-25
- 售價: $2,990
- 貴賓價: 9.5 折 $2,841
- 語言: 英文
- 頁數: 186
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030656829
- ISBN-13: 9783030656829
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商品描述
This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the Cauchy problem for the Einstein equations, the positive mass theorem, and the laws of black hole thermodynamics. It emerged from lecture notes originally conceived for a one-semester course in Mathematical Relativity which has been taught at the Instituto Superior Técnico (University of Lisbon, Portugal) since 2010 to Masters and Doctorate students in Mathematics and Physics.
Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.
Mostly self-contained, and mathematically rigorous, this book can be appealing to graduate students in Mathematics or Physics seeking specialization in general relativity, geometry or partial differential equations. Prerequisites include proficiency in differential geometry and the basic principles of relativity. Readers who are familiar with special relativity and have taken a course either in Riemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.
商品描述(中文翻譯)
這本簡明的教科書向讀者介紹了廣義相對論的高級數學方面，涵蓋了如 Penrose 圖、因果理論、奇異性定理、愛因斯坦方程的 Cauchy 問題、正質量定理以及黑洞熱力學定律等主題。這本書源自於最初為一學期的數學相對論課程所編寫的講義，自 2010 年以來在葡萄牙里斯本大學的 Instituto Superior Técnico 開授，針對數學和物理的碩士及博士生。
這本書大部分是自成體系且數學上嚴謹，對於尋求在廣義相對論、幾何或偏微分方程方面專精的數學或物理研究生來說，具有吸引力。先修課程包括對微分幾何和相對論基本原則的熟練掌握。對於熟悉特殊相對論並且修過黎曼幾何課程（數學學生）或廣義相對論課程（物理學生）的讀者，這本書將會有所幫助。
作者簡介
José Natário holds a DPhil in Mathematical Sciences (2000) from the University of Oxford, England. He has been an Associate Professor of Mathematics at Instituto Superior Técnico (University of Lisbon, Portugal) since 2010, where he teaches a course in Mathematical Relativity to Master and Doctorate students in Mathematics and Physics. He authored "General Relativity Without Calculus" (2011, ISBN 978-3-642-21451-6) and co-authored "An Introduction to Riemannian Geometry" (2014, ISBN 978-3-319-08665-1), both published by Springer.
作者簡介(中文翻譯)
José Natário 擁有英國牛津大學的數學科學博士學位（2000年）。自2010年以來，他一直擔任葡萄牙里斯本大學高等技術學院的數學副教授，教授數學和物理碩士及博士生的數學相對論課程。他著有《無微積分的廣義相對論》（2011年，ISBN 978-3-642-21451-6），並共同撰寫《黎曼幾何入門》（2014年，ISBN 978-3-319-08665-1），這兩本書均由Springer出版。
