This is an ideal textbook for advanced undergraduate and graduate courses in Combinatorial Design Theory. The text Features clear explanations of basic designs such as Steiner and Kirkman triple systems, mutually orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. Design Theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas, or that reinforces and builds upon similar ideas previously introduced. The many illustrations aid in understanding and enjoying the application of the constructions described. .
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Editorial Reviews
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…it is remarkable how quickly the book propels the reader from the basics to the frontiers of design theory … Combined, these features make the book an excellent candidate for a design theory text. At the same time, even the seasoned researcher of triple systems will find this a useful resource.
—Peter James Dukes (3-VCTR-MS; Victoria, BC), Mathematical Reviews, 2010
--This text refers to an alternate Hardcover edition.About the Author
Auburn University, Alabama, USA Monmouth University, Middletown, New Jersey, USA
--This text refers to an alternate
Hardcover
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Most Helpful Customer Reviews
2 of 3 people found the following review helpful:
5.0 out of 5 stars
An excellent introduction to the design theory world,
By FELIU D SAGOLS (Vermont, USA) - See all my reviews
This review is from: Design Theory (Discrete Mathematics and Its Applications) (Hardcover)
This book is filling a gap in the literature to learn the basic techniques in combinatorial designs. It is accessible for any student with a minimum background in mathematics, this makes the book appropriate as a textbook on the subject. The exercises are very well designed too.The bibliography has been carefully selected and any of the papes referenced is classic in this subject. For all these reasons I consider that this book is the right door to start learning about the wonderful world of combinatorial designs.
1 of 4 people found the following review helpful:
2.0 out of 5 stars
Very Limited Book,
By Steve M. (Talbott, TN United States) - See all my reviews
This review is from: Design Theory (Discrete Mathematics and Its Applications) (Hardcover)
This book has very few examples and the exercies are do notfollow the logic of the lessons. Very hard to read and understand, simple concepts are made very difficult through this book. Assumes a lot from the reader. (i.e. "Obviously, the answer is 2"). Obviously? It took me two hours to come up with that answer! Show me HOW! Seems like this book was written for those who know combinatorics already, not good for beginners.
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Inside This Book
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First Sentence:
A Steiner triple system is an ordered pair (S, T), where S is a finite set of points or symbols, and T is a set of 3-element subsets of S called triples, such that each pair of distinct elements of S occurs together in exactly one triple of T. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
idempotent commutative quasigroup, orthogonal quasigroups, deficiency graph, idempotent quasigroup, commutative quasigroups, two finger rule, orthogonal latin squares, pairwise balanced designs, quadruple systems, triple system, difference triple, triple containing, point slope formula, affine plane, maximum packing, minimum coverings, parallel class, triples containing, following triples, sums modulo Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euler Conjecture, Holes Construction, Proof Let, Wilson's Fundamental Construction, Heffter's Difference Problems, Wilson's Construction, Boolean Steiner New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A Steiner triple system is an ordered pair (S, T), where S is a finite set of points or symbols, and T is a set of 3-element subsets of S called triples, such that each pair of distinct elements of S occurs together in exactly one triple of T. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
idempotent commutative quasigroup, orthogonal quasigroups, deficiency graph, idempotent quasigroup, commutative quasigroups, two finger rule, orthogonal latin squares, pairwise balanced designs, quadruple systems, triple system, difference triple, triple containing, point slope formula, affine plane, maximum packing, minimum coverings, parallel class, triples containing, following triples, sums modulo Key Phrases - Capitalized Phrases (CAPs): (learn more)
Euler Conjecture, Holes Construction, Proof Let, Wilson's Fundamental Construction, Heffter's Difference Problems, Wilson's Construction, Boolean Steiner New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 3
books:
33
books
cite this book:
See all 33 books citing this book
- Handbook of Applied Cryptography (Discrete Mathematics and Its Applications) by Alfred Menezes in Front Matter
- Cryptography : Theory and Practice by Douglas R. Stinson in Front Matter
- Network Reliability: Experiments with a Symbolic Algebra Environment (Discrete Mathematics and Its Applications) by Daryl D Harms in Front Matter
- Combinatorial Designs: Construction and Analysis by Douglas R. Stinson on page 18, page 221, and Back Matter
- Contemporary Design Theory: A Collection of Surveys (Wiley Series in Discrete Mathematics and Optimization) by Jeffrey H. Dinitz on page 205, and page 592
- Frames and Resolvable Designs: Uses, Constructions and Existence (Discrete Mathematics and Its Applications) by Steven Furino in Front Matter, and page 226
- Cryptography : Theory and Practice by Douglas R. Stinson in Front Matter
- Introduction to Information Theory and Data Compression, Second Edition (Discrete Mathematics and Its Applications) by D.C. Hankerson in Front Matter
See all 33 books citing this book
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