Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ®

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Sriram Pemmaraju (Indian Institute of Technology, Bombay, and University of Iowa) Steven Skiena (Distinguished Teaching Professor, State University of New York, Stony Brook)

Computational Discrete Mathematics

Combinatorics and Graph Theory with Mathematica ®

Sriram Pemmaraju (Indian Institute of Technology, Bombay, and University of Iowa), Steven Skiena (Distinguished Teaching Professor, State University of New York, Stony Brook)

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English

Cambridge University Press
21 December 2009

Discrete mathematics; Combinatorics & graph theory; Mathematical & statistical software

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, 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.

By: Sriram Pemmaraju (Indian Institute of Technology Bombay and University of Iowa), Steven Skiena (Distinguished Teaching Professor, State University of New York, Stony Brook)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Dimensions: Height: 229mm, Width: 152mm, Spine: 25mm
Weight: 720g
ISBN: 9780521121460
ISBN 10: 0521121469
Pages: 496
Publication Date: 21 December 2009
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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.

Steven Skiena is Distinguished Teaching Professor of Computer Science at Stony Brook University. His research interests include the design of graph, string, and geometric algorithms, and their applications (particularly to biology). He is the author of five books, including The Algorithm Design Manual and Calculated Bets: Computers, Gambling, and Mathematical Modeling to Win. He is co-founder and Chief Scientist at General Sentiment (www.generalsentiment.com), a media measurement company based on his Lydia text/sentiment analysis system. Skiena received his PhD in Computer Science from the University of Illinois in 1988, and is the author of over 130 technical papers. He is a former Fulbright scholar, and a recipient of the ONR Young Investigator Award and the IEEE Computer Science and Engineer Teaching Award.

Reviews for Computational Discrete Mathematics: Combinatorics and Graph Theory with Mathematica ®

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 This book is the definitive reference guide to Combinatorica -- an extension of the popular computer software, Mathematica -- with examples of the 450 combinatorics functions. The authors developed the newest version of this software that has dramatic improvements in graphical processing performance, representation, visualization, and many brand new functions...This book is highly recommended. It is a well organized and readable textbook for beginners and intermediate students. Leonardo