抽屜原理及其應(yīng)用

  目錄
中文摘要…………………………………………………………………1
英文摘要…………………………………………………………………1
1.引言……………………………………………………………………2
2.抽屜原理的形式………………………………………………………2
3.抽屜原理在高等數(shù)學(xué)中的應(yīng)用………………………………………3
 3.1 數(shù)論中的應(yīng)用 ……………………………………………………3
 3.2 離散數(shù)學(xué)中的應(yīng)用 ………………………………………………5
 3.3 高等代數(shù)中的應(yīng)用 ………………………………………………8
 3.4 抽象代數(shù)中的應(yīng)用 ………………………………………………9
4.抽屜原理在生活中的應(yīng)用 …………………………………………10
5.抽屜原理的推廣定理－Ramsey定理 ………………………………12
6.參考文獻(xiàn) ……………………………………………………………16

                                 
 抽屜原理及其應(yīng)用
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摘要：本文簡述了抽屜原理普遍使用的簡單形式、各種推廣形式，著重闡述其在數(shù)論和離散數(shù)學(xué)、高等代數(shù)及抽象代數(shù)中的應(yīng)用,及在生活中的應(yīng)用，可以巧妙地解決一些復(fù)雜問題，并根據(jù)抽屜原理的不足之處引入抽屜原理的推廣定理Ramsey定理.
關(guān)鍵詞：抽屜原理；數(shù)論；離散數(shù)學(xué)；高等代數(shù)；抽象代數(shù)；Ramsey定理；應(yīng)用
         Dirichlet drawer principle and the application of it
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Abstract:This paper introduces the widespread use of simple forms and all kinds of extended forms of Dirichlet drawer principle,focusing on the application of Dirichlet drawer principle in the number theory ,discrete mathematics, hight algebra and abstract algebra ,and also the real life. It can solve ably some complicated problems,and according to the principle of drawer the shortcomings of the principle of introducing the drawer theorem Ramsey theorem.
Keywords:Dirichlet drawer principle; Number theory; Discrete mathematics; Higher algebra; Abstract algebra; Ramsey theorem; Application.