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Titlebook: Notes on Introductory Combinatorics; George Pólya,Robert E. Tarjan,Donald R. Woods Book 1983 Springer Science+Business Media New York 1983

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發(fā)表于 2025-3-21 18:49:10 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Notes on Introductory Combinatorics
編輯George Pólya,Robert E. Tarjan,Donald R. Woods
視頻videohttp://file.papertrans.cn/669/668258/668258.mp4
叢書(shū)名稱(chēng)Progress in Computer Science and Applied Logic
圖書(shū)封面Titlebook: Notes on Introductory Combinatorics;  George Pólya,Robert E. Tarjan,Donald R. Woods Book 1983 Springer Science+Business Media New York 1983
描述In the winter of 1978, Professor George P61ya and I jointly taught Stanford University‘s introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into
出版日期Book 1983
關(guān)鍵詞Combinatorics; enumerative combinatorics; Matching; mathematics; Permutation; Polya; Ramsey theory
版次1
doihttps://doi.org/10.1007/978-1-4757-1101-1
isbn_softcover978-0-8176-3170-3
isbn_ebook978-1-4757-1101-1Series ISSN 2297-0576 Series E-ISSN 2297-0584
issn_series 2297-0576
copyrightSpringer Science+Business Media New York 1983
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 21:41:09 | 只看該作者
,Pólya’s Theory of Counting,everybody else refers to it as “Pólya’s Theory of Counting”. This latter title is somewhat easier to remember, though not as indicative of the content. We’ll stick to the simpler title; for the content, read on!
板凳
發(fā)表于 2025-3-22 02:50:49 | 只看該作者
Outlook,gurations meeting certain criteria. Such problems make up one branch of combinatorics; there are two other classes of problems on which we haven’t even touched. In this chapter we look briefly at these other branches of combinatorics. Some of the subjects introduced here will be covered in greater depth by Tarjan in later chapters.
地板
發(fā)表于 2025-3-22 08:13:32 | 只看該作者
Midterm Examination,They were advised they would find the exam somewhat “open-ended”. They were not required to do problems 1. and 2., though they were strongly encouraged to do so. It was stated that extra credit would be given to students who attempted those problems.
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發(fā)表于 2025-3-22 11:22:58 | 只看該作者
Ramsey Theory,discussing miscellaneous problems in existential and constructive combinatorics, with the emphasis on the constructive side. This chapter, on the other hand, deals almost entirely with existential combinatorics, although some of the proofs are constructive.
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Final Examination,that. Course notes had been handed out only through chapter 10 (the remaining notes were given out together with the graded exams), but the material from the later chapters was not required for the final.
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978-0-8176-3170-3Springer Science+Business Media New York 1983
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