In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages, while other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems.
發表於2024-11-23
An Introduction to Manifolds 2024 pdf epub mobi 電子書 下載
沒有人評價的一本書,好奇怪。在我看來,這本書是流形理論最佳的入門書。作者是曾經和Raul Bott閤寫Differential Forms in Algebraic Topology的Loring Tu。讀這本書不需要什麼太多的數學基礎,作者從最基礎的東西一步步develop整個流形理論。習題大部分都有答案或者提示,而且...
評分學完近世代數,看這本書應該不成問題。比北大陳維桓的書好看的多,由於使用瞭代數學的理論,使得證明過程大為精煉。Boothby的書該講的沒講透,大傢都知道的扯瞭一大堆。總的來說,這本書很和我的胃口,力薦!
評分學完近世代數,看這本書應該不成問題。比北大陳維桓的書好看的多,由於使用瞭代數學的理論,使得證明過程大為精煉。Boothby的書該講的沒講透,大傢都知道的扯瞭一大堆。總的來說,這本書很和我的胃口,力薦!
評分沒有人評價的一本書,好奇怪。在我看來,這本書是流形理論最佳的入門書。作者是曾經和Raul Bott閤寫Differential Forms in Algebraic Topology的Loring Tu。讀這本書不需要什麼太多的數學基礎,作者從最基礎的東西一步步develop整個流形理論。習題大部分都有答案或者提示,而且...
評分沒有人評價的一本書,好奇怪。在我看來,這本書是流形理論最佳的入門書。作者是曾經和Raul Bott閤寫Differential Forms in Algebraic Topology的Loring Tu。讀這本書不需要什麼太多的數學基礎,作者從最基礎的東西一步步develop整個流形理論。習題大部分都有答案或者提示,而且...
圖書標籤: 數學 to Springer Manifolds Introduction An 2007
An Introduction to Manifolds 2024 pdf epub mobi 電子書 下載