Introduction to Hyperbolic Geometry (Universitext) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Arlan Ramsay 作者

Springer

译者

1995-12-16 出版日期

299 页数

USD 63.95 价格

Paperback

universitext 丛书系列

9780387943398 图书编码

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Introduction to Hyperbolic Geometry (Universitext) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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This text for advanced undergraduates emphasizes the logical connections of the subject. The derivations of formulas from the axioms do not make use of models of the hyperbolic plane until the axioms are shown to be categorical; the differential geometry of surfaces is developed far enough to establish its connections to the hyperbolic plane; and the axioms and proofs use the properties of the real number system to avoid the tedium of a completely synthetic approach. The development includes properties of the isometry group of the hyperbolic plane, tilings, and applications to special relativity. Elementary techniques from complex analysis, matrix theory, and group theory are used, and some mathematical sophistication on the part of students is thus required, but a formal course in these topics is not a prerequisite.

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