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Geometry: from Isometries to Special Relativity

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometry: from Isometries to Special Relativity/ by Nam-Hoon Lee.
作者:	Lee, Nam-Hoon.
面頁冊數:	XIII, 258 p. 92 illus., 18 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Hyperbolic geometry. -
電子資源:	https://doi.org/10.1007/978-3-030-42101-4
ISBN:	9783030421014

Geometry: from Isometries to Special Relativity
Lee, Nam-Hoon.

Geometry: from Isometries to Special Relativity[electronic resource] /by Nam-Hoon Lee. - 1st ed. 2020. - XIII, 258 p. 92 illus., 18 illus. in color.online resource. - Undergraduate Texts in Mathematics,0172-6056. - Undergraduate Texts in Mathematics,.

Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.

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.

ISBN: 9783030421014

Standard No.: 10.1007/978-3-030-42101-4doiSubjects--Topical Terms:

1264371
Hyperbolic geometry.

LC Class. No.: QA685

Dewey Class. No.: 516.9

Geometry: from Isometries to Special Relativity
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