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Geometry: from Isometries to Special Relativity free ebook download

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Mathematics

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Author(s):	Nam-Hoon Lee

Date:	2020-06-01	Format:	pdf	Language:	English	ISBN/ASIN:	3030421007
Pages:	258	OCR:		Quality:		ISBN13:
Uploader:	maveriks	Upload Date:	4/29/2020 10:24:11 AM

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This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einsteins 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 LorentzMinkowski 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 LorentzMinkowski 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.

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2768207	Book	https://nitroflare.com/view/2BD736E51B8A...		5.74	maveriks

Tags: Geometry Isometries Relativity Special

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Geometry: from Isometries to Special Relativity free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics