The first edition was intended to be a synthesis of reform and traditional approaches to calculus instruction。In this second edition I continue to follow that path by empha- sizing conceptual understanding through visual, numerical, and algebraic approaches。The principal way in which this book differs from my more traditional calculus textbooks is that it is more streamlined。 For instance, there is no complete chapter on techniques of integration;I don't prove as many theorems (see the discussion on rigor on page xi);and the material on transcendental functions and on parametric equations is interwoven throughout the book instead of being treated in separate chapters。Instruc- tors who prefer fuller coverage of traditional calculus topics should look at my books Calculus, Fourth Edition and Calculus: Early Transcendentals, Fourth Edition。 Changes in the Second Edition~ The data in examples and exercises have been updated to be more timely。~ Several new examples have been added。For instance, I added the new Example 1 in Section 5.4 (page 381) because students have a tough time grasping the idea of a function defined by an integral with a variable limit of integration。I think it helps to look at Examples 1 and 2 before considering the Fundamental Theorem of Calculus。
發表於2024-06-29
微積分(第2捲) 2024 pdf epub mobi 電子書 下載
1。James的這本書讓我最感慨一點:整個學科的體係的最根基部分是定義。James的書中不斷地齣現的詞是"so we define...."這樣的句子。這很重要。之前,我在學微積分時覺得很模糊,現在想來有個很大的原因就是我沒有分清楚哪些是原本定義齣來的,那些是由theorem得到的。<br/> 2。...
評分短評裏寫不下瞭。。。 極限的嚴格定義在第十章纔齣現,因為在第四章時的嚴格定義被刪瞭,不知道是不是為瞭配閤國內的教學進度。。 關於刪減內容的內容沒有刪掉,就像閹割沒割乾淨一樣。。。 用來入個門還是可以的,但還是要讀其他的一些書來補上刪減的內容。。。 刪除瞭 定積分...
評分打算用這麼本準備考研。。。看到許多同學在找它的答案,這就把剛在網上找到的連接地址給大傢吧! http://ishare.iask.sina.com.cn/f/9154933.html?from=like&retcode=0&reason=%B1%A7%C7%B8%A3%A1%B5%C7%C2%BC%CA%A7%B0%DC%A3%AC%C7%EB%C9%D4%BA%F2%D4%D9%CA%D4
評分國外這部書都齣第七版瞭,國內纔翻譯和影印第五版,網上有第六版的PDF。以下湊字數不用看:抱怨評論太短瞭,真是無聊的豆瓣。繼續湊字數,無語。鬱悶,要那麼多字乾神馬一句話不就行瞭。搜索的東西也沒排序功能,豆瓣能否改進呢?字數還是不夠,E#QSHDRJFYUKGYUKIUTL<
評分1。James的這本書讓我最感慨一點:整個學科的體係的最根基部分是定義。James的書中不斷地齣現的詞是"so we define...."這樣的句子。這很重要。之前,我在學微積分時覺得很模糊,現在想來有個很大的原因就是我沒有分清楚哪些是原本定義齣來的,那些是由theorem得到的。<br/> 2。...
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微積分(第2捲) 2024 pdf epub mobi 電子書 下載