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First Steps in Differential Geometry pdf epub mobi txt 电子书下载 2024

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Andrew McInerney

Springer

2013-7-10

428

GBP 53.99

Hardcover

Undergraduate Texts in Mathematics

9781461477310

图书标签: 数学微分几何 UTM 数学-辛几何假装读过 Mathematics Geometry 数学-微分几何

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发表于2024-12-27

First Steps in Differential Geometry epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

First Steps in Differential Geometry pdf epub mobi txt 电子书下载 2024

图书描述

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

First Steps in Differential Geometry 下载 mobi epub pdf txt 电子书