《多維實分析(第2捲)(英文版)》講述瞭:In presenting the material we have been intentionally concrete, aiming at athorough understanding of Euclidean space. Once this case is properly understood,it becomes easier to move on to abstract metric spaces or manifolds and to infinite-dimensional function spaces. If the general theory is introduced too soon, the readermight get confused about its relevance and lose motivation. Yet we have tried toorganize the book as economically as we could, for instance by making use of linearalgebra whenever possible and minimizing the number of ~ arguments, alwayswithout sacrificing rigor. In many cases, a fresh look at old problems, by ourselvesand others, led to results or proofs in a form not found in current analysis textbooks.Quite often, similar techniques apply in different parts of mathematics; on the otherhand, different techniques may be used to prove the same result. We offer ampleillustration of these two principles, in the theory as well as the exercises.
發表於2024-09-12
多維實分析(第2捲) 2024 pdf epub mobi 電子書 下載
圖書標籤: 實分析7 QS
多維實分析(第2捲) 2024 pdf epub mobi 電子書 下載