Introduction to Lorentz Geometry: Curves and Surfaces
暫譯: 洛倫茲幾何導論：曲線與曲面

Couto, Ivo Terek, Lymberopoulos, Alexandre

Introduction to Lorentz Geometry: Curves and Surfaces
  • 出版商: CRC
  • 出版日期: 2020-12-30
  • 售價: $5,230
  • 貴賓價: 9.5 折 $4,969
  • 語言: 英文
  • 頁數: 340
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 0367468646
  • ISBN-13: 9780367468644

    • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity.

Learning this type of geometry is the first step in properly understanding questions regarding the structure of the universe, such as: What is the shape of the universe? What is a spacetime? What is the relation between gravity and curvature? Why exactly is time treated in a different manner than other spatial dimensions?

Introduction to Lorentz Geometry: Curves and Surfaces intends to provide the reader with the minimum mathematical background needed to pursue these very interesting questions, by presenting the classical theory of curves and surfaces in both Euclidean and Lorentzian ambient spaces simultaneously.

Features:

  • Over 300 exercises

  • Suitable for senior undergraduates and graduates studying Mathematics and Physics

  • Written in an accessible style without loss of precision or mathematical rigor

  • Solution manual available on www.routledge.com/9780367468644

商品描述(中文翻譯)

洛倫茲幾何學是數學與物理學之間非常重要的交集，為廣義相對論的數學語言。

學習這種幾何學是正確理解有關宇宙結構問題的第一步，例如：宇宙的形狀是什麼？什麼是時空？重力與曲率之間的關係是什麼？為什麼時間的處理方式與其他空間維度不同？

《洛倫茲幾何學導論：曲線與曲面》旨在為讀者提供追求這些非常有趣問題所需的最低數學背景，通過同時呈現歐幾里得和洛倫茲環境空間中的曲線與曲面的經典理論。

特色：
- 超過300個練習題
- 適合學習數學和物理的高年級本科生和研究生
- 以易於理解的風格撰寫，並不損失精確性或數學嚴謹性
- 解答手冊可在 www.routledge.com/9780367468644 獲得

作者簡介

Ivo Terek Couto, born in São Paulo, graduated with a B.Sc. and a M.Sc. in Mathematics from the Institute of Mathematics and Statistics of the University of São Paulo (IME-USP). He's currently pursuing PhD at The Ohio State University in Columbus, Ohio. His study and research interests lie mainly in Differential Geometry and its applications in other areas of Mathematics and Physics, particularly in General Relativity and Classical Mechanics.

Alexandre Lymberopoulos, born in São Paulo, has a PhD in Mathematics from the Institute of Mathematics and Statistics of the University of São Paulo (IME-USP). He has taught in several higher education institutes in São Paulo and returned to IME-USP as an Assistant Professor in 2011. His main research interest is in Differential Geometry, particularly in immersions and its interactions with other branches of Science.

作者簡介(中文翻譯)

Ivo Terek Couto，出生於聖保羅，擁有聖保羅大學數學與統計學研究所（IME-USP）的學士及碩士學位。他目前在俄亥俄州立大學（The Ohio State University）攻讀博士學位，研究興趣主要集中在微分幾何及其在數學和物理其他領域的應用，特別是在廣義相對論和經典力學方面。

Alexandre Lymberopoulos，出生於聖保羅，擁有聖保羅大學數學與統計學研究所（IME-USP）的博士學位。他曾在聖保羅的多所高等教育機構任教，並於2011年回到IME-USP擔任助理教授。他的主要研究興趣在於微分幾何，特別是浸入及其與其他科學分支的互動。

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