株式会社極東書店トップ商品一覧An Introduction to Mathematical Relativity. 1st ed. 2021.

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An Introduction to Mathematical Relativity.

An Introduction to Mathematical Relativity. 1st ed. 2021.

・ISBN 978-3-030-65685-0 paper EUR 49.99

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お気に入り
著者・編者Natario, Jose,
シリーズLatin American Mathematics Series - UFSCar subseries
出版社(Springer Nature Switzerland AG, SZ)
出版年月2022
ページ数186 pp.
言語ENG
ニュース番号<M25-297>

解説

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 Tecnico (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 inRiemannian geometry (for students of Mathematics) or in general relativity (for those in Physics) can benefit from this book.