| 书目名称 | Smooth Manifolds | | 编辑 | Rajnikant Sinha | | 视频video | | | 概述 | Presents detailed proofs of important theorems.Supplies solved examples for each concept discussed.Discusses all major topics on smooth manifolds.Proves Sard’s theorem, for the first time, in case n = | | 图书封面 |  | | 描述 | .This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces, multivariable differential calculus, topological properties of smooth manifolds, embedded submanifolds, Sard’s theorem and Whitney embedding theorem. It is clearly structured, amply illustrated and includes solved examples for all concepts discussed. Several difficult theorems have been broken into many lemmas and notes (equivalent to sub-lemmas) to enhance the readability of the book. Further, once a concept has been introduced, it reoccurs throughout the book to ensure comprehension. Rank theorem, a vital aspect of smooth manifolds theory, occurs in many manifestations, including rank theorem for Euclidean space and global rank theorem. Though primarily intended for graduate studentsof mathematics, the book will also prove useful for researchers. The prerequisites for this text have intentionally been kept to a minimum so that undergraduate students can also benefit from it. It is a | | 出版日期 | Textbook 2014 | | 关键词 | Differential manifolds; Multivariable differential calculus; Sard’s theorem; Smooth manifolds; Tangent b | | 版次 | 1 | | doi | https://doi.org/10.1007/978-81-322-2104-3 | | isbn_softcover | 978-81-322-2955-1 | | isbn_ebook | 978-81-322-2104-3 | | copyright | Springer India 2014 |
The information of publication is updating
|
|
发表于 2025-3-21 16:10:18
