书目名称 | Elementary Differential Geometry |
编辑 | Andrew Pressley |
视频video | |
概述 | Taking a unique approach to the subject, the book allows the reader to see some amazing results of claissical differential geometry using nothing more than basic calculus.The technical definitions are |
丛书名称 | Springer Undergraduate Mathematics Series |
图书封面 |  |
描述 | .Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood. Differential geometry is concerned with the precise mathematical formulation of some of these questions, and with trying to answer them using calculus techniques. It is a subject that contains some of the most beautiful and profound results in mathematics yet many of these are accessible to higher-level undergraduates....Elementary Differential Geometry. presents the main results in the differential geometry of curves and surfaces while keeping the prerequisites to an absolute minimum. Nothing more than first courses in linear algebra and multivariate calculus are required, and the most direct and straightforward approach is used at all times. Numerous diagrams illustrate both the ideas in the text and the examples of curves and surfaces discussed there....The book will provide an invaluable resource to all those taking a first course in differential geometry, for their lecturers, and for all others interested in the subject....Andrew Pressley is Professor of Mathematics at King’s College London, UK....The Springer Undergraduate Mathemati |
出版日期 | Textbook 20011st edition |
关键词 | Curves and Surfaces; Euclidean Geometry; Gaussian curvature; Geometry; Minimal surface; curvature; differe |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4471-3696-5 |
isbn_ebook | 978-1-4471-3696-5Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
issn_series | 1615-2085 |
copyright | Springer-Verlag London 2001 |