This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica (R), is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.
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Combinatorica, an extension to the popular computer algebra system Mathematica (R), is the most comprehensive software available for teaching and research applications of discrete mathematics. This definitive reference/user's guide provides examples of all 450 Combinatorica functions in action, along with tutorial text on the mathematical and algorithmic theory.
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1. Combinatorica: an explorer's guide; 2. Permutations and combinations; 3. Algebraic combinatorics; 4. Partitions, compositions and Young tableaux; 5. Graph representation; 6. Generating graphs; 7. Properties of graphs; 8. Algorithmic graph theory.
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Review of the hardback: 'This book is the definite reference guide to Combinatorica ... it is more than just a reference since it has all the necessary theory to comprehend the concepts ... It is a very readable edition full of graphical and stimulating approaches to combinatorics and graph theories ... This is a great resource for the acknowledgment of beautiful patterns and important properties of graphs and other combinatorial objects ... This book is highly recommended. it is well organized, and readable textbook for beginners and intermediate students.' Leonardo On-line
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This definitive reference on Combinatorica contains examples of all 450 functions plus tutorial text.
Produktdetaljer
ISBN
9780521121460
Publisert
2009-10-15
Utgiver
Vendor
Cambridge University Press
Vekt
1110 gr
Høyde
279 mm
Bredde
210 mm
Dybde
25 mm
Aldersnivå
06, P
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
496