Applied Combinatorics: Tchrs'.Manual w.Solutions: Amazon.ca: Alan Tucker: Books

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"...a well-structured text that addresses a broad range of topics... It is well presented, written clearly and easy to follow." (Times Higher Education Supplement, November 2007) --This text refers to the Hardcover edition.

Book Description

This is a revision of a one-semester survey of combinatorial analysis and graph theory, designed for mathematics and computer science majors. Three principal aspects of combinatorial reasoning are emphasized in this book: the systematic analysis of different possibilities, the exploration of the logical structure of a problem, and ingenuity. Keeping theory to a minimum, it uses numerical examples to demonstrate the combinatorial reasoning involved in computer science, operations research, and finite probability. This edition gives more attention to computer science's use of combinatorics. Includes a new chapter on topics in theoretical computer science, a new section on recursive programs, an enlarged discussion of algorithms to generate combinatorial sets, and additional programming exercises. --This text refers to an out of print or unavailable edition of this title.

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Customer Reviews

6 Reviews

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4.8 out of 5 stars (6 customer reviews)

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1 of 1 people found the following review helpful

4.0 out of 5 stars Excellent for applications, Jun 28 2004

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Ragnarok Books - See all my reviews

This review is from: Applied Combinatorics (Hardcover)

The book covers the fundamentals of graph theory and combinatorics (enumeration) and is designed for first courses for undergraduates.

The material is presented in a clear, friendly manner. The sections are short and specific and the emphasis is on problem-solving. Many examples are provided and constitute the majority of the book's volume. Each section ends with 20-30 exercises with answers (not full solutions) at the end of the book.

The book is excellent for computer science and applied math majors looking for a clear, application-based introduction to combinatorics and graph theory. It is also excellent for self-study.

The book's main flaw is that the proofs are not rigorous and are sometimes more intuitive than mathematical. For pure math students looking to explore graph theory and combinatorics in a more rigorous manner, other books (e.g. Diestel, "Graph Theory") will serve that purpose better.

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5.0 out of 5 stars An almost ideal introduction book to combinatorics, May 22 2002

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Sen Peng Eu "ESP=Math+Music+Literature" (Kaohsiung, Taiwan) - See all my reviews
(REAL NAME)

This review is from: Applied Combinatorics (Hardcover)

There have been wonderfully written reviews of this book, but since this is really an excellent textbook, I am urged to praise again. Fully recommended.

This book is easily and clearly written; covers almost every important basic concept and technic in graph theory and enumerative combinatorics, with neatly selected and wonderfully organised exercises.

And I highly suggest the author give the references to those last exercises in every section, since each of them does lead into a theory.

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5.0 out of 5 stars An almost ideal introduction book to combinatorics, May 22 2002

By

Sen Peng Eu "ESP=Math+Music+Literature" (Kaohsiung, Taiwan) - See all my reviews
(REAL NAME)

This review is from: Applied Combinatorics (Hardcover)

There have been wonderfully written reviews of this book, but since this is really an excellent textbook, I am urged to praise again. Fully recommended.

This book is easily and clearly written; covers almost every important basic concept and technic in graph theory and enumerative combinatorics, with neatly selected and wonderfully organised exercises.

And I highly suggested the author give the references to those last exercises in every section, since each of them does lead into a theory.

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Most recent customer reviews

5.0 out of 5 stars Excellent undergraduate text
I covered the book as part of a final-year undergraduate mathematics course. This is certainly an undergraduate text, but I think that to fully appreciate the content, the reader... Read more

Published on Nov 24 2000 by Digilante

5.0 out of 5 stars A first-class college textbook
This is one of the college textbooks which I saved from college and found to be an excellent source of reference for years to come. Read more