Notes on introductory combinatorics

George Pólya, Robert E. Tarjan, Donald R. Woods

Developed from the authorsa (TM) introductory combinatorics course, this book focuses on a branch of mathematics which plays a crucial role in computer science. Combinatorial methods provide many analytical tools used for determining the expected performance of computer algorithms. Elementary subjects such as combinations and permutations, and mathematical tools such as generating functions and PA3lyaa (TM)s Theory of Counting, are covered, as are analyses of specific problems such as Ramsey Theory, matchings, and Hamiltonian and Eulerian paths. This introduction will provide students with a solid foundation in the subject. ---- "This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by PA3lya and Tarjan at Stanford University. Woods, the teaching assistant for the class, did a very good job of merging class notes into an interesting mini-textbook; he also included the exercises, homework, and tests assigned in the class (a very helpful addition for other instructors in the field). The notes are very well illustrated throughout and Woods and the BirkhAuser publishers produced a very pleasant text. One can count on [PA3lya and Tarjan] for new insights and a fresh outlook. Both instructors taught by presenting a succession of examples rather than by presenting a body of theorya ][The book] is very well suited as supplementary material for any introductory class on combinatorics; as such, it is very highly recommended. Finally, for all of us who like the topic and delight in observing skilled professionals at work, this book is entertaining and, yes, instructive, reading." a "Mathematical Reviews (Review of the original hardcover edition) "The mathematical community welcomes this book as a final contribution to honour the teacher G. PA3lya." a "Zentralblatt MATH (Review of the original hardcover edition)

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書名 Notes on introductory combinatorics
著作者等 Polya, George
Tarjan, Robert Endre
Woods, Donald R.
Polya Georg
シリーズ名 Progress in computer science
出版元 Birkhäuser
刊行年月 1983
版表示 2 Rev ed
ページ数 190, [1] p.
大きさ 24 cm
ISBN 0817631704
NCID BA00521845
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言語 英語
出版国 アメリカ合衆国