Building from basics and demonstrating the relationships among the various branches of combinatorics, Victor Bryant presents the results in a straightforward way. Numerous examples and exercises including hints and solutions are included throughout and serve to lead the reader to some of the deeper results of the subject, many of which are usually excluded from introductory texts.
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"...makes excellent reading for undergraduates who have already taken an introductory discrete mathematics course which covered counting methods, number theory, graph theory, and proof writing at an elementary level...I highly recommmend Aspects of Combinatorics as a great source of problems and examples that could supplement many upper division mathematics classes." Arthur Benjamin, SIAM Newsletter
Book Description
This textbook provides the beginner with the ideal introduction to many of the different aspects of the broad field of combinatorics by progressing from basic concepts and demonstrating the relationships between its various branches.
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3 of 6 people found the following review helpful:
5.0 out of 5 stars
Definitely worth buying!,
By
This review is from: Aspects of Combinatorics: A Wide-ranging Introduction (Hardcover)
Excellent book! Anyone the least interested in combinatorics or graph theory should definitely take a closer look at this book. It's well written with great illustrations and examples. There are also plenty of excercises with both hints and solutions.
0 of 8 people found the following review helpful:
2.0 out of 5 stars
Beginner!,
By Mark Dubaz (Travis AFB, CA United States) - See all my reviews
This review is from: Aspects of Combinatorics: A Wide-ranging Introduction (Paperback)
Beginner! HA! In this case beginner is defined as PhD. Mathematics professor. If you don't have a in-depth math background, do not purchase this book.
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Inside This Book
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First Sentence:
The idea of choosing a number of items is going to occur many times in any course on combinatorics and so an appropriate first chapter is on selections and on the number of ways those selections can be made. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
uncoloured edges, highest vertex degree, rook polynomial, perfect difference set, shaded board, been coloured red, cubic map, planar representation, transversal theory, finite projective plane, chromatic polynomial, marriage theorem, lowest vertex, decreasing subsequence, fewer edges, unshaded part, intersecting edges, convex quadrilateral, kth entry, received string, such colouring, increasing subsequence, incidence matrix, disjoint paths, distinct representatives Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theorem Let, Example Show, Example Let, Proof Let, Solution Let, Example Find, Proof Assume, Proof Note, Solution Again, Theorem Given New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The idea of choosing a number of items is going to occur many times in any course on combinatorics and so an appropriate first chapter is on selections and on the number of ways those selections can be made. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
uncoloured edges, highest vertex degree, rook polynomial, perfect difference set, shaded board, been coloured red, cubic map, planar representation, transversal theory, finite projective plane, chromatic polynomial, marriage theorem, lowest vertex, decreasing subsequence, fewer edges, unshaded part, intersecting edges, convex quadrilateral, kth entry, received string, such colouring, increasing subsequence, incidence matrix, disjoint paths, distinct representatives Key Phrases - Capitalized Phrases (CAPs): (learn more)
Theorem Let, Example Show, Example Let, Proof Let, Solution Let, Example Find, Proof Assume, Proof Note, Solution Again, Theorem Given New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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