{"title":"斯特灵的数字","authors":"Methodus Dlfferentialis","doi":"10.1201/9781315273112-14","DOIUrl":null,"url":null,"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","PeriodicalId":193527,"journal":{"name":"Enumerative Combinatorics","volume":"8 1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-10-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"STIRLING NUMBERS\",\"authors\":\"Methodus Dlfferentialis\",\"doi\":\"10.1201/9781315273112-14\",\"DOIUrl\":null,\"url\":null,\"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\",\"PeriodicalId\":193527,\"journal\":{\"name\":\"Enumerative Combinatorics\",\"volume\":\"8 1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-10-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Enumerative Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1201/9781315273112-14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Enumerative Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1201/9781315273112-14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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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