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。
1。James的这本书让我最感慨一点:整个学科的体系的最根基部分是定义。James的书中不断地出现的词是"so we define...."这样的句子。这很重要。之前,我在学微积分时觉得很模糊,现在想来有个很大的原因就是我没有分清楚哪些是原本定义出来的,那些是由theorem得到的。<br/> 2。...
評分其实大家可以结合台湾国立交通大学的OCourse来学习这本书。 网址:http://ocw.nctu.edu.tw/riki_list.php?gid=1 自己找到微积分1和微积分2。 视频进度和书本的是一样的。 很适合自学。
評分1。James的这本书让我最感慨一点:整个学科的体系的最根基部分是定义。James的书中不断地出现的词是"so we define...."这样的句子。这很重要。之前,我在学微积分时觉得很模糊,现在想来有个很大的原因就是我没有分清楚哪些是原本定义出来的,那些是由theorem得到的。<br/> 2。...
評分这本教材已经出到了第5版,最初是在全美大学经典教材系列看这本书,没仔细读,因为书太厚了,但是看了里面的几个案例,怎么和同济大学的微积分上的例题一样的,抄袭都出了国界了!
評分安利一个微积分在线交流学习Q群:拉神微积分Q群,群聊号码:962770961. “拉神” 就是 Laraon。Larson's Calculus 跟 Stewart's Calculus 最大的区别是,前者重应用,后者重概念。如果你是工科计算机等专业,推荐拉神;如果是数学专业,推荐大神Stewart的教程。拉神微积分的官...
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