圖書標籤: 數學 代數拓撲 algebraic_topology 拓撲 拓撲學 Mathematics 經典 Topology
发表于2025-05-01
Algebraic Topology pdf epub mobi txt 電子書 下載 2025
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.
Hatcher 這本書貌似是代數拓撲的經典教材呢,對我而言呢,希望作為本科數學學習的一個美好的closure.
評分jing dian
評分藉著qual逼著自己過瞭一遍,這纔叫拓撲嘛。
評分學到第二章,強調幾何直觀結果例子真的多但證明也看得纍……
評分第四章就不讀瞭。。
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Algebraic Topology pdf epub mobi txt 電子書 下載 2025