Notes on introductory combinatorics

'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 classnotes 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 Woodsand 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 oftheory…[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)" An affordable new softcover edition of a classic text Comprehensive introductory overview of combinatorics Homework exercises and examinations included, making the book useful in courses Results serve as a basis for applications in computer science INDICE: Introduction.- Combinations and Permutations.- Generating Functions.- Principle of Inclusion and Exclusion.- Stirling Numbers.- Pólya's Theory of Counting.- Outlook.- Midterm Examination.- Ramsey Theory.- Matchings (StableMarriages).- Matchings (Maximum Matchings).- Network Flow.- Hamiltonian and Eulerian Paths.- Planarity and the Four-Color Theorem.- Final Examination.- Bibliography.

• ISBN: 978-0-8176-4952-4
• Editorial: Birkhaüser
• Encuadernacion: Rústica
• Páginas: 192
• Fecha Publicación: 01/12/2009
• Nº Volúmenes: 1
• Idioma: Inglés