不可抗拒的积分
Irresistible integrals
George Boros、Victor Moll · 初版 2004 年
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凡是学过一年微积分的学生，都对定积分求值问题十分熟悉。它是19世纪数学分析中的一个极为重要的课题，如今随着符号计算语言的出现而重焕生机。在本书中，作者以定积分的精确求值问题为出发点，深入探索了数学的诸多领域。书中讨论的问题最早可追溯到微积分诞生之初，本书于2004年首次出版。在呈现求解绝大多数积分所需的组合方法时，作者选取了其中最引人入胜的
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有人为各种奇妙的积分写过整整一本书。George Boros 的《Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals》https://www.amazon.com/dp/0521796369/ 以及 Paul J. Nahin 的《Inside Interesting Integrals》https://www.amazon.com/Inside-Interesting-Integrals-Substitu...
Entire books have been written about curious integrals. Irresistible Integrals: Symbolics, Analysis and Experiments in the Evaluation of Integrals, by George Boros https://www.amazon.com/dp/0521796369/ Inside Interesting Integrals, by Paul J. Nahin https://www.amazon.com/Inside-Interesting-Integrals-Substitu...
……Nahin 写的积分书。这本书包含的大多是受数论启发的积分。想象一下这类东西：黎曼 zeta 函数的大量特殊值，或者调和数的部分和之类的玩意儿。Boros 和 Moll 合著的《Irresistible Integrals》。灵感来自他们试图证明 Gradshteyn 和 Ryzhik 那本大部头巨著中所有积分的工作，那本书里的参考文献往往又老又缺（比如 Erdelyi 之前的那张……
…Integrals, by Nahin. This contains integrals with often arithmetic inspiration. Imagine things like, lots of special values of the zeta function or partial sums of harmonic numbers and that sort of thing. Irresistible Integrals, by Boros and Moll. This is inspired by their work to prove all of the integrals in the enormous book of Gradshteyn and Ryzhik, whose references are often old and lacking (like Erdelyi's prior table of…