Projective Differential Geometry Old and New 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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V. Ovsienko 作者

Cambridge University Press

译者

2004-12-13 出版日期

262 页数

USD 119.00 价格

Hardcover

丛书系列

9780521831864 图书编码

Projective Differential Geometry Old and New 在线电子书图书标签: 数学

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Projective Differential Geometry Old and New 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Projective Differential Geometry Old and New 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Projective Differential Geometry Old and New 在线电子书图书描述

Ideas of projective geometry keep reappearing in seemingly unrelated fields of mathematics. The authors' main goal in this 2005 book is to emphasize connections between classical projective differential geometry and contemporary mathematics and mathematical physics. They also give results and proofs of classic theorems. Exercises play a prominent role: historical and cultural comments set the basic notions in a broader context. The book opens by discussing the Schwarzian derivative and its connection to the Virasoro algebra. One-dimensional projective differential geometry features strongly. Related topics include differential operators, the cohomology of the group of diffeomorphisms of the circle, and the classical four-vertex theorem. The classical theory of projective hypersurfaces is surveyed and related to some very recent results and conjectures. A final chapter considers various versions of multi-dimensional Schwarzian derivative. In sum, here is a rapid route for graduate students and researchers to the frontiers of current research in this evergreen subject.

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