Geometry from Isometries to Special Relativity is popular PDF and ePub book, written by Nam-Hoon Lee in 2020-04-28, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Geometry from Isometries to Special Relativity can be Read Online from any device for your convenience.
Geometry from Isometries to Special Relativity Book PDF Summary
This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein’s spacetime in one accessible, self-contained volume. Using tools tailored to undergraduates, the author explores Euclidean and non-Euclidean geometries, gradually building from intuitive to abstract spaces. By the end, readers will have encountered a range of topics, from isometries to the Lorentz–Minkowski plane, building an understanding of how geometry can be used to model special relativity. Beginning with intuitive spaces, such as the Euclidean plane and the sphere, a structure theorem for isometries is introduced that serves as a foundation for increasingly sophisticated topics, such as the hyperbolic plane and the Lorentz–Minkowski plane. By gradually introducing tools throughout, the author offers readers an accessible pathway to visualizing increasingly abstract geometric concepts. Numerous exercises are also included with selected solutions provided. Geometry: from Isometries to Special Relativity offers a unique approach to non-Euclidean geometries, culminating in a mathematical model for special relativity. The focus on isometries offers undergraduates an accessible progression from the intuitive to abstract; instructors will appreciate the complete instructor solutions manual available online. A background in elementary calculus is assumed.
Detail Book of Geometry from Isometries to Special Relativity PDF
- Author : Nam-Hoon Lee
- Release : 28 April 2020
- Publisher : Springer Nature
- ISBN : 9783030421014
- Genre : Mathematics
- Total Page : 264 pages
- Language : English
- PDF File Size : 19,8 Mb
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