简明微积分
Short Calculus
Serge Lang · 初版 2001 年
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这是 A First Course in Calculus 的重印版，该书自六十年代初以来已再版五次。它以简明初浅的方式涵盖了大学第一年微积分课程中传统讲授的所有主题。鉴于过去四十年中社会与教育环境发生了多方面的变化，再次推出原版被认为十分有价值。本书的目标受众为高中或大学初学微积分的学生。其采用的方法在几十年前大获成功，讲究清晰明了，并贴合了这样一个时代……
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……这本书虽然没有现代微积分教材里那些花哨的全彩插图页，但它的行文风格有助于培养那种直观的视觉想象力。同样走精炼路线的微积分书里，Serge Lang 的《Short Calculus》也很棒（无论你是需要温习，还是刚开始学）。https://www.amazon.com/Short-Calculus-Original-Undergraduate...
…this book lacks all the glossy pages of illustration found in a modern Calculus textbook, the writing style helps develop that visual intuition. In the same vein of concise Calculus books, Serge Lang's Short Calculus is also great (if you need a refresher, or if you're just starting out). https://www.amazon.com/Short-Calculus-Original-Undergraduate...
另一本我非常喜欢的初学者微积分书 [1]。[1] - https://www.amazon.com/Short-Calculus-Original-Undergraduate...
Another book on calculus for beginners I really liked [1]. [1] - https://www.amazon.com/Short-Calculus-Original-Undergraduate...
Serge Lang 的《Short Calculus》清晰明了又言简意赅，大约 170 页就把基础内容高效地讲完了，不像某些书动辄几百页。后面还有几章做了一些更深入的探讨，不过讲的主题也……
Serge Lang's "Short Calculus" is clear and concise, efficiently covering the basics in ~170 pages instead of hundreds of pages like some books. It then has a few more chapters going into a bit more depth but on topics that are also…
Lang 的《Short Calculus》（他微积分教材第一版的重印本）真是一股清流，彻底摆脱了那些动不动就出到第 2234 版的板砖教材——那些书把微积分变成了枯燥例题的大杂烩，大家刷题的目标……
Lang's "Short Calculus" (a reprint of the 1st edition of his calculus textbook) is a welcome change from those 2234th edition doorstop textbooks that make calculus into a boring parade of examples, where the goal of the game…
……把这些啃下来，你就会发现豁然开朗。我不知道你的具体水平，所以很难给出什么具体的建议，但总的来说我觉得 Lang 的书既清晰又高效。他的《Short Calculus》用不到 200 页就涵盖了单变量微积分的所有基础，而不像许多微积分入门书那样要写 ~500 页。同样，他的《Calculus of Several Variables》也就 ~300 页，而不是 500-700 页。……
…through those you will find things open up for you. I don't know your level so it's difficult to make any concrete recommendations, but in general I find Lang's books to be clear and efficient sources. His Short Calculus covers all the basics of single variable calculus in less than 200 pages, instead of ~500 pages like many intro to calc books. Similarly his Calculus of Several Variables is ~300 pages instead of 500-700.…
……在我看来基本没啥用，充其量也就是当个习题册（要我说，做练习的话 Khan Academy 比任何书都强多了）——我最喜欢的高中数学书是 Lang 的《Basic Mathematics》，或许还有《Short Calculus》，这两本看似并不是面向高中生的，虽然它涵盖的数学正是我当年希望结交的那批人在高中就学过的东西。这或许就是你所说的大学数学从……开始的意思吧。
…can tell, except as sources of exercises (and khan academy is way better for exercises than any book if you ask me) - My favorite books for high school math are Lang's "Basic Mathematics" and maybe "Short Calculus" which don't seem to be aimed at the high schooler, even though it covers math that the people I wish to associate myself with did in highschool. This might be what you mean about College math starting…