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Introduction to Lorentz Geometry:Curves and Surfaces

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Book Details
Book Name: Introduction to Lorentz Geometry: Curves and Surfaces
Language: English
ISBN-13: 9781041051732
Writer: Ivo Terek Couto
Binding: Paperback
Publisher: CRC Press
Pages: 350
Release Date: 09-01-2025

About the Book
Lorentz Geometry is a crucial intersection between mathematics and physics, serving as the mathematical foundation for General Relativity. Understanding this type of geometry is essential for answering profound 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 is time treated differently from other spatial dimensions?

This book, Introduction to Lorentz Geometry: Curves and Surfaces, aims to provide readers with the mathematical background needed to delve into these fascinating questions. It presents the classical theory of curves and surfaces within both Euclidean and Lorentzian ambient spaces, offering a simultaneous approach to these two essential geometrical frameworks. The book is intended for those looking to build a solid foundation in Lorentz Geometry, particularly for students and enthusiasts of mathematics and physics.