
Introduction to Lorentz Geometry
Curves and Surfaces
- 340 pages
- English
- ePUB (mobile friendly)
- Available on iOS & Android
About this book
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:
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- Over 300 exercises
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- Suitable for senior undergraduates and graduates studying Mathematics and Physics
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- Written in an accessible style without loss of precision or mathematical rigor
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- Solution manual available on www.routledge.com/9780367468644
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Information
Table of contents
- Cover
- Half Title
- Title Page
- Copyright Page
- Contents
- Preface of the Portuguese Version
- Preface
- CHAPTER 1 ◾ Welcome to Lorentz-Minkowski Space
- CHAPTER 2 ◾ Local Theory of Curves
- CHAPTER 3 ◾ Surfaces in Space
- CHAPTER 4 ◾ Abstract Surfaces and Further Topics
- APPENDIX ◾Some Results from Differential Calculus
- Bibliography
- Index