Pólya / Tarjan / Woods Notes on Introductory Combinatorics

2010
ISBN: 978-0-8176-4953-1
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 4, 192 Seiten, eBook

Reihe: Progress in Computer Science and Applied Logic

"This is a delightful little paperback which presents a day-by-day transcription of a course taught jointly by Pólya 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 Birkhäuser publishers produced a very pleasant text.One can count on [Pólya 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 theory…[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." Mathematical Reviews (Review of the original hardcover edition)"The mathematical community welcomes this book as a final contribution to honour the teacher G. Pólya." Zentralblatt MATH (Review of the original hardcover edition)

Zielgruppe

Research

Autoren/Hrsg.

Pólya, George

Tarjan, Robert E.

Woods, Donald R.

Inhaltsverzeichnis

Combinations and Permutations.- Generating Functions.- Principle of Inclusion and Exclusion.- Stirling Numbers.- P#x00F3;lya#x2019;s Theory of Counting.- Outlook.- Midterm Examination.- Ramsey Theory.- Matchings (Stable Marriages).- Matchings (Maximum Matchings).- Network Flow.- Hamiltonian and Eulerian Paths.- Planarity and the Four-Color Theorem.- Final Examination.