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Titlebook: Geometry: from Isometries to Special Relativity; Nam-Hoon Lee Textbook 2020 Springer Nature Switzerland AG 2020 Euclidean geometry and rel

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發(fā)表于 2025-3-21 16:41:11 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Geometry: from Isometries to Special Relativity
編輯Nam-Hoon Lee
視頻videohttp://file.papertrans.cn/384/383859/383859.mp4
概述Explores Euclidean and non-Euclidean geometries, culminating in a mathematical model for special relativity.Introduces students familiar with calculus to the rigorous foundations of plane geometry: Eu
叢書名稱Undergraduate Texts in Mathematics
圖書封面Titlebook: Geometry: from Isometries to Special Relativity;  Nam-Hoon Lee Textbook 2020 Springer Nature Switzerland AG 2020 Euclidean geometry and rel
描述.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 under
出版日期Textbook 2020
關鍵詞Euclidean geometry and relativity; Non-Euclidean geometry and relativity; Undergraduate geometry and r
版次1
doihttps://doi.org/10.1007/978-3-030-42101-4
isbn_softcover978-3-030-42103-8
isbn_ebook978-3-030-42101-4Series ISSN 0172-6056 Series E-ISSN 2197-5604
issn_series 0172-6056
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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Stereographic Projection and Inversions,ns such that both areas and shapes cannot be conserved simultaneously, i.e., the distance cannot be preserved. The mapmaker must choose a projection method suitable for the region to be mapped and the purpose of the map. Stereographic projection is one method of making maps that preserves angles.
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Hyperbolic Plane,similar to Euclidean geometry in many respects. It has the concepts of distance and angle, and there are many theorems common to both. However, there are also striking differences, e.g., the sum of the angles of a hyperbolic triangle is always less than ..
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,Lorentz–Minkowski Plane,explains how space and time are linked. It was originally proposed by Albert Einstein. Today, special relativity is accepted as the most accurate theory of motion at any speed when gravitational forces are negligible. Special relativity leads to a wide range of consequences, which have been experime
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Electrode Kinetics and Electrocatalysis,similar to Euclidean geometry in many respects. It has the concepts of distance and angle, and there are many theorems common to both. However, there are also striking differences, e.g., the sum of the angles of a hyperbolic triangle is always less than ..
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發(fā)表于 2025-3-23 04:47:51 | 只看該作者
Stereographic Projection and Inversions,ns such that both areas and shapes cannot be conserved simultaneously, i.e., the distance cannot be preserved. The mapmaker must choose a projection method suitable for the region to be mapped and the purpose of the map. Stereographic projection is one method of making maps that preserves angles.
10#
發(fā)表于 2025-3-23 06:45:06 | 只看該作者
Hyperbolic Plane,similar to Euclidean geometry in many respects. It has the concepts of distance and angle, and there are many theorems common to both. However, there are also striking differences, e.g., the sum of the angles of a hyperbolic triangle is always less than ..
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