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ISBN: 9780817631703

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 Professo… Plus…

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1990, ISBN: 0817631704

[EAN: 9780817631703], Neubuch, [PU: Birkhäuser Boston], ENUMERATIVECOMBINATORICS MATCHING MATHEMATICS PERMUTATION RAMSEYTHEORY GEISTESWISSENSCHAFTEN ALLGEMEIN COMBINATORICS ENUMERATIVE PO… Plus…

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ISBN: 9780817631703

Contributor: Tarjan, Robert E. Contributor: Woods, Donald R. Birkhäuser Boston, Paperback, Auflage: 1983, 204 Seiten, Publiziert: 1990-01-01T00:00:01Z, Produktgruppe: Book, 0.67 kg, Refer… Plus…

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Notes on Introductory Combinatorics

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 three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.

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EAN (ISBN-13): 9780817631703
ISBN (ISBN-10): 0817631704
Version reliée
Livre de poche
Date de parution: 1990
Editeur: Birkhäuser Boston
212 Pages
Poids: 0,325 kg
Langue: eng/Englisch

Livre dans la base de données depuis 2007-03-26T21:29:19+02:00 (Zurich)
Page de détail modifiée en dernier sur 2024-03-06T19:52:04+01:00 (Zurich)
ISBN/EAN: 0817631704

ISBN - Autres types d'écriture:
0-8176-3170-4, 978-0-8176-3170-3
Autres types d'écriture et termes associés:
Auteur du livre: georg polya, polya george, donald woods, roberts, pólya george, robert
Titre du livre: applied combinatorics, notes introductory combinatorics, combinatorics first course


Données de l'éditeur

Auteur: George Polya; Robert E. Tarjan; Donald R. Woods
Titre: Progress in Computer Science and Applied Logic; Notes on Introductory Combinatorics
Editeur: Birkhäuser; Birkhäuser Boston
193 Pages
Date de parution: 1990-01-01
Boston; MA; US
Poids: 0,670 kg
Langue: Anglais
80,24 € (DE)
82,49 € (AT)
88,50 CHF (CH)
POD
IX, 193 p. 3 illus.

BC; Science, Humanities and Social Sciences, multidisciplinary; Hardcover, Softcover / Geisteswissenschaften allgemein; Interdisziplinäre Studien; Verstehen; Combinatorics; enumerative combinatorics; Matching; mathematics; Permutation; Polya; Ramsey theory; Humanities and Social Sciences; BB; EA

1. Introduction.- 2. Combinations and Permutations.- 3. Generating Functions.- 4. Principle of Inclusion and Exclusion.- 5. Stirling Numbers.- 6. Pólya’s Theory of Counting.- 7. Outlook.- 8. Midterm Examination.- 9. Ramsey Theory.- 10. Matchings (Stable Marriages).- 11. Matchings (Maximum Matchings).- 12. Network Flow.- 13. Hamiltonian and Eulerian Paths.- 14. Planarity and the Four-Color Theorem.- 15. Final Examination.- 16. Bibliography.

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