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Geometryfrom isometries to special r...

Lee, Nam-Hoon.

Geometryfrom isometries to special relativity /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Geometryby Nam-Hoon Lee.
其他題名:	from isometries to special relativity /
作者:	Lee, Nam-Hoon.
出版者:	Cham :Springer International Publishing :2020.
面頁冊數:	xiii, 25 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Geometry.
電子資源:	https://doi.org/10.1007/978-3-030-42101-4
ISBN:	9783030421014$q(electronic bk.)

Geometryfrom isometries to special relativity /
Lee, Nam-Hoon.

Geometryfrom isometries to special relativity /[electronic resource] :by Nam-Hoon Lee. - Cham :Springer International Publishing :2020. - xiii, 25 p. :ill., digital ;24 cm. - 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$q(electronic bk.)

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

183883
Geometry.

LC Class. No.: QA445 / .L446 2020

Dewey Class. No.: 516

Geometryfrom isometries to special relativity /
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505 0 $a Euclidean Plane -- Sphere -- Stereographic Projection and Inversions -- Hyperbolic Plane -- Lorentz-Minkowski Plane -- Geometry of Special Relativity -- Answers to Selected Exercises -- Index.
520 $a 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.
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