数列、组合与极限
Sequences, combinations, limits
S. I. Gelʹfand、M. L. Gerver、A. A. Kirillov、N. N. Konstantinov · 初版 1969 年
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Sequences, combinations, limits
S. I. Gelʹfand、M. L. Gerver、A. A. Kirillov、N. N. Konstantinov · 初版 1969 年
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…http://www.amazon.com/Functions-Graphs-Dover-Books-Mathemati... http://www.amazon.com/Method-Coordinates-I-M-Gelfand/dp/0817... http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144... http://www.amazon.com/Sequences-Combinations-Limits-Library-... 还有塞尔日·兰（Serge Lang）的《基础数学》（Basic Mathematics） http://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/038796... 以及《解题的艺术》（Art of Problem Solving）进阶系列 http://www.artofproblemsolving.com/Books/AoPS_B_Texts_FAQ.ph...…
…http://www.amazon.com/Functions-Graphs-Dover-Books-Mathemati... http://www.amazon.com/Method-Coordinates-I-M-Gelfand/dp/0817... http://www.amazon.com/Trigonometry-I-M-Gelfand/dp/0817639144... http://www.amazon.com/Sequences-Combinations-Limits-Library-... and Basic Mathematics by Serge Lang http://www.amazon.com/Basic-Mathematics-Serge-Lang/dp/038796... and The Art of Problem Solving expanded series http://www.artofproblemsolving.com/Books/AoPS_B_Texts_FAQ.ph...…
…用于俄罗斯的远程教学。该系列涵盖代数、函数、三角学、图像、几何等内容。https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat... https://www.amazon.com/Sequences-Combinations-Limits-Dover-M... https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029... https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677... https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/081763914...…
…for distance learning in russia. the series covers algebra, functions, trigonometry, graphs, geometry, and more. https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat... https://www.amazon.com/Sequences-Combinations-Limits-Dover-M... https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029... https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677... https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/081763914...…
…记忆保持度，以及我在此前学过的概念基础上继续拓展的能力。而且也不一定非得是奥数风格，还有数学圈（Math Circles）以及各种通用的《{某领域}习题集》，比如我很喜欢的一本《数列、组合与极限》（Sequences, Combinations, Limits）。
…retention and my ability to build on concepts already learned. It also doesn't have to be Olympiad style, there are also Math Circles and the general Problems in {Area} book, like one of my favorites Sequences, Combinations, Limits.
…非数学背景的人，比如程序员，如果真想掀开帷幕看个究竟，弄明白微积分到底“是”什么，又不想内容被水化得不成样子，我会给他们看 I. Gelfand 等人写的《数列、组合与极限》（Sequences, Combinations, Limits）。一旦你掌握了数列极限的概念，再去理解函数的极限（epsilon, delta）就不难了，然后就可以继续往下推进。挺好的第二步是阿波斯托尔（Apostol）的微积分第一卷，光是…
…non-mathematician background, e.g. programmer, who sincerely wants to get a peek behind the curtain and know what calculus really IS without diluting anything in an unacceptable way I'd show them I. Gelfand et al "Sequences, Combinations, Limits". Once you have the idea of a limit of a sequence down it isn't hard to learn the limit of a function (epsilon, delta) and move on from there. A good second step is Apostol's calculus vol. 1 just the…