| 书目名称 | First Steps in Differential Geometry | | 副标题 | Riemannian, Contact, | | 编辑 | Andrew McInerney | | 视频video | | | 概述 | Introduces symplectic and contact geometry alongside Riemannian geometry, unlike other texts in differential geometry.Develops tools from linear algebra and advanced calculus, including differential f | | 丛书名称 | Undergraduate Texts in Mathematics | | 图书封面 |  | | 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.. | | 出版日期 | Textbook 2013 | | 关键词 | Riemannian geometry; contact geometry; differential forms; differential geometry; symplectic geometry; te | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4614-7732-7 | | isbn_softcover | 978-1-4899-9046-4 | | isbn_ebook | 978-1-4614-7732-7Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2013 |
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发表于 2025-3-21 19:05:27
