Selected Papers on Discrete Mathematics - Brossura

Knuth, Donald E.

 
9781575862484: Selected Papers on Discrete Mathematics
Brossura
ISBN 10: 1575862484 ISBN 13: 9781575862484
Casa editrice: The Center for the Study of Language and Information Publications, 2001

Sinossi

Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. One of the foremost figures in the field of mathematical sciences, his papers are widely referenced and stand as milestones of development over a wide range of topics. This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics. It includes a variety of topics in combinatorial mathematics (finite geometries, graph theory, enumeration, partitions, tableaux, matroids, codes); discrete algebra (finite fields, groupoids, closure operators, inequalities, convolutions, Pfaffians); and concrete mathematics (recurrence relations, special numbers and notations, identities, discrete probability). Of particular interest are two fundamental papers in which the evolution of random graphs is studied by means of generating functions.

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Descrizione del libro

Donald Knuth's influence in computer science ranges from the invention of literate programming to the development of the TeX programming language. This volume assembles more than three dozen of Professor Knuth's pioneering contributions to discrete mathematics. It includes a variety of topics in combinatorial mathematics, discrete algebra, and concrete mathematics.

Contenuti

1. Discussion of Mr. Riordan's paper 'Abel identities and inverse relations'; 2. Duality in addition chains; 3. Combinatorial analysis and computers; 4. Tables of finite fields; 5. Finite semifields and projective planes; 6. A class of projective planes; 7. Construction of a random sequence; 8. Oriented subtrees of an arc digraph; 9. Another enumeration of trees; 10. Notes on central groupoids; 11. Permutations, matrices, and generalized Young tableaux; 12. A note on solid partitions; 13. Subspaces, subsets, and partitions; 14. Enumeration of plane partitions; 15. Complements and transitive closures; 16. Permutations with nonnegative partial sums; 17. Wheels within wheels; 18. The asymptotic number of geometries; 19. Random matroids; 20. Identities from partition involutions; 21. Huffman's algorithm via algebra; 22. A permanent inequality; 23. Efficient balanced codes; 24. The power of a prime that divides a generalized binomial coefficient; 25. The first cycles in an evolving graph; 26. The birth of the giant component; 27. Polynomials involving the floor function; 28. The sandwich theorem; 29. Aztec diamonds, checkerboard graphs, and spanning trees.

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Editore
The Center for the Study of Language and Information Publications
Data di pubblicazione
2001
Lingua
Inglese
ISBN 10 
1575862484
ISBN 13 
9781575862484
Rilegatura
Copertina flessibile
Numero di pagine
400
Contatto del produttore
non disponibile
Persona responsabile
Avery
https://www.avery.fr/

chemin des peupliers 27
Dardilly
Francia

Altre edizioni note dello stesso titolo

9781575862491: Selected Papers on Discrete Mathematics

Edizione in evidenza

ISBN 10:  1575862492 ISBN 13:  9781575862491
Casa editrice: The Center for the Study of Lang..., 2001
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