Algebraic Topology 在線電子書 圖書標籤: 數學 代數拓撲 algebraic_topology 拓撲 拓撲學 Mathematics 經典 Topology
發表於2024-12-23
Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
藉著qual逼著自己過瞭一遍,這纔叫拓撲嘛。
評分這本書的作者把書都共享瞭, 不想買寫的朋友就直接去作者的網站下載就可以瞭.
評分如果你有很強的幾何直觀,那要那麼多代數乾嘛。
評分補標記,17年底讀的。作者個人主頁有電子版pdf和errata。
評分真難讀。。
In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
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Algebraic Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024