This book outlines an elementary, one-semester course which exposes students to both the process of rigor, and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim of a course in real analysis should be to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination.
具體描述
讀後感
My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
評分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
評分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
評分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
評分My primary goal in writing Understanding Analysis was to create an elementary one-semester book that exposes students to the rich rewards inherent in taking a mathematically rigorous approach to the study of functions of a real variable. The aim of a course...
用戶評價
不花太久即可掌握最基礎的分析方法，並且得以一窺森林，習題穿插文中，語言優美，motivation清晰，自學神書，過渡神書！新時代的好教材！
评分對這本書充滿瞭感激之情！循序漸進，習題和正文結閤在一起並且給瞭很多hints手把手教證明，步驟細緻清晰，語言優美，總之是我這種數學渣都能堅持下來的實分析入門。（2020.4.7-5.2）用瞭近一個月自學瞭一遍，做瞭幾乎全部習題，雖然大部分還是參考著答案纔完全弄懂，但確實把很多基礎的部分都學明白瞭。搜瞭一下網上的討論，很多人也認為這本書相比 Baby Rubin 更適閤作為普通人的 real analysis 入門書。
评分REAL的課本~很不錯的書……就是每一章最開始屁話比較多……估計過一陣子還要拿齣來復習概念定理
评分REAL的課本~很不錯的書……就是每一章最開始屁話比較多……估計過一陣子還要拿齣來復習概念定理
评分Well written.
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