Algebraic topology is a basic part of modern mathematics and some knowledge of this area is indispensable for any advanced work relating to geometry, including topology itself, differential geometry, algebraic geometry and Lie groups. This book provides a treatment of algebraic topology both for teachers of the subject and for advanced graduate students in mathematics either specializing in this area or continuing on to other fields. J. Peter May's approach reflects the enormous internal developments within algebraic topology, most of which are largely unknown to mathematicians in other fields. But he also retains the classical presentations of various topics where appropriate. Most chapters end with problems that further explore and refine the concepts presented. The final four chapters provide sketches of substantial areas of algebraic topology and the book concludes with a list of suggested readings for those interested in delving further into the field.
發表於2025-02-02
A Concise Course in Algebraic Topology 2025 pdf epub mobi 電子書 下載
圖書標籤: 代數拓撲 數學 拓撲 Algebraic_Topology 幾何與拓撲 Mathematics Math AlgebraicTopology
確實不適閤初學者,隻讀到上同調,確實簡潔,不先看hatcher的話,我很難get到他的妙處……
評分如標題所言,確實簡潔。講完fundamental group,馬上引入一點範疇語言。
評分這本加上Bredon的那本topology and geometry足以打通拓撲學任督二脈,要是本科再學一次幾何和拓撲,我隻會讀這兩本書,最多再加一本Loring W.Tu
評分這本加上Bredon的那本topology and geometry足以打通拓撲學任督二脈,要是本科再學一次幾何和拓撲,我隻會讀這兩本書,最多再加一本Loring W.Tu
評分確實不適閤初學者,隻讀到上同調,確實簡潔,不先看hatcher的話,我很難get到他的妙處……
A Concise Course in Algebraic Topology 2025 pdf epub mobi 電子書 下載