STIRLING NUMBERS

Methodus Dlfferentialis
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Abstract

This monograph is based on a set of notes taken from lectures on combinatorics given by Professor Gian-Carlo Rota at thl Massachusetss Institute of Te~hnology in 19690 It is indeed a pleasure to finally gather this material under one cover-not so much for the originality of the results as for the Originality of the methodology. Professor Rota's constructivist approach enabled me to formulate a general modus operand:!. which may, indeed, serve combina­ torics in a far broader sense' than is offered hereo It is all the more fitting that this material be issued through a Computer Science Department J as our methods of abs1l;Y'8ct reasoning are much more akin to those of the computer programmer than to the traditional "Sa~~ Beweis" style of classical mathemat'1cso Such methods may, hopefully one day extend beyond combinator-ics to other areas of mathematics
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斯特灵的数字
这本专著是根据1969年麻省理工学院Gian-Carlo Rota教授关于组合学讲座的一组笔记整理而成的。最终将这些材料集中在一个封面下确实是一件令人高兴的事——与其说是结果的独创性,不如说是方法的独创性。罗塔教授的建构主义方法使我能够形成一个通用的操作方法:!更合适的是,这些材料是通过计算机科学系发布的,因为我们的抽象推理方法更类似于计算机程序员的方法,而不是传统的“Sa~~ Beweis”式的经典数学,所以这些方法有可能,希望有一天能从组合学扩展到其他数学领域
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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