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Introduction to Combinatorics

Detalles Bibliográficos
Autor principal: Erickson, Martin J.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Newark : John Wiley & Sons, Incorporated, 2013.
Colección:New York Academy of Sciences Ser.
Temas:
Acceso en línea:Texto completo

MARC

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082 0 4 |a 511/.6  |q OCoLC  |2 23/eng/20230216 
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100 1 |a Erickson, Martin J. 
245 1 0 |a Introduction to Combinatorics  |h [electronic resource]. 
260 |a Newark :  |b John Wiley & Sons, Incorporated,  |c 2013. 
300 |a 1 online resource (225 p.). 
490 1 |a New York Academy of Sciences Ser. ;  |v v.78 
500 |a Description based upon print version of record. 
505 0 |a Intro -- Half Title page -- Title page -- Copyright page -- Dedication -- Preface -- Chapter 1: Basic Counting Methods -- 1.1 The multiplication principle -- 1.2 Permutations -- 1.3 Combinations -- 1.4 Binomial coefficient identities -- 1.5 Distributions -- 1.6 The principle of inclusion and exclusion -- 1.7 Fibonacci numbers -- 1.8 Linear recurrence relations -- 1.9 Special recurrence relations -- 1.10 Counting and number theory -- Notes -- Chapter 2: Generating Functions -- 2.1 Rational generating functions -- 2.2 Special generating functions -- 2.3 Partition numbers 
505 8 |a 2.4 Labeled and unlabeled sets -- 2.5 Counting with symmetry -- 2.6 Cycle indexes -- 2.7 Pólya's theorem -- 2.8 The number of graphs -- 2.9 Symmetries in domain and range -- 2.10 Asymmetric graphs -- Notes -- Chapter 3: The Pigeonhole Principle -- 3.1 The principle -- 3.2 The lattice point problem and SET® -- 3.3 Graphs -- 3.4 Colorings of the plane -- 3.5 Sequences and partial orders -- 3.6 Subsets -- Notes -- Chapter 4: Ramsey Theory -- 4.1 Ramsey's theorem -- 4.2 Generalizations of Ramsey's theorem -- 4.3 Ramsey numbers, bounds, and asymptotics -- 4.4 The probabilistic method 
505 8 |a 4.5 Schur's theorem -- 4.6 Van der Waerden's theorem -- Notes -- Chapter 5: Error-Correcting Codes -- 5.1 Binary codes -- 5.2 Perfect codes -- 5.3 Hamming codes -- 5.4 The Fano Configuration -- Notes -- Chapter 6: Combinatorial Designs -- 6.1 t-designs -- 6.2 Block designs -- 6.3 Projective planes -- 6.4 Latin squares -- 6.5 MOLS and OODs -- 6.6 Hadamard matrices -- 6.7 The Golay code and S(5, 8, 24) -- 6.8 Lattices and sphere packings -- 6.9 Leech's lattice -- Notes -- Appendix A: Web Resources -- Appendix B: Notation -- Exercise Solutions -- References -- Index 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
655 0 |a Electronic books. 
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776 0 8 |i Print version:  |a Erickson, Martin J.  |t Introduction to Combinatorics  |d Newark : John Wiley & Sons, Incorporated,c2013  |z 9781118637531 
830 0 |a New York Academy of Sciences Ser. 
856 4 0 |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=7103910  |z Texto completo 
938 |a ProQuest Ebook Central  |b EBLB  |n EBL7103910 
994 |a 92  |b IZTAP