Combinatorial Designs: Constructions and Analysis / Edition 1

Paperback (Print)
Buy New
Buy New from BN.com
$124.00
Used and New from Other Sellers
Used and New from Other Sellers
from $99.21
Usually ships in 1-2 business days
(Save 19%)
Other sellers (Paperback)
  • All (10) from $99.21   
  • New (8) from $99.21   
  • Used (2) from $123.99   

Overview

Created to teach students many of the most important techniques used for constructing combinatorial designs, 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, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. 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. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

Read More Show Less

Editorial Reviews

From the Publisher
From the reviews:

"This is the first rate textbook in combinatorial design theory, providing an elegant treatment … . Topics have been chosen well … . The language is clear and crisp. Proofs are carefully presented to convey the main insights, and examples are numerous. … A strong feature of the book is the manner in which applications of designs are woven into the text … . a valuable text for any course in combinatorial design theory, and will serve as an excellent reference … ." (Charles J. Colbourn, Zentralblatt MATH, Vol. 1031, 2004)

"This book aims to thoroughly develop the most important techniques used for constructing combinatorial designs. The book provides a detailed and clear exposition of the classical core of combinatorial designs … . Readers will master various construction techniques, both classic and modern, and will be well prepared to build a vast array of combinatorial designs. … A variety of exercises enhance the book’s utility as a course text." (L’Enseignment Mathematique, Vol. 50 (1-2), 2004)

"This excellent introductory textbook is the work of one of the top experts of the field. … all of the material in this book is suitable for self-study by graduate students, who will find it provides helpful background information concerning research topics in design theory. Researchers may also find that some of the sections on advanced topics provide a useful reference for material that is not easily accessible in textbook form.’ (Péter Hajnal, Acta Scientiarum Mathematicaram, Vol. 71, 2005)

"The book under review has eleven chapters. … There are a dozen or so exercises … at the end of each chapter. The book is very well written and well organized. … This text should serve as a rich source of interesting research projects for advanced undergraduates. … ‘senior undergraduate or beginning graduate level’ students are the intended audience … ." (R. Gregory Taylor, SIGACT News, Vol. 39 (4), 2008)

Read More Show Less

Product Details

  • ISBN-13: 9781441930224
  • Publisher: Springer New York
  • Publication date: 12/14/2011
  • Edition description: Softcover reprint of hardcover 1st ed. 2004
  • Edition number: 1
  • Pages: 300
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.67 (d)

Table of Contents

* Introduction to BIBDs
• Symmetric BIBDs
• Difference sets and automorphisms
• Hadamard matrices and designs
• Resolvable BIBDs
• Steiner triple systems
• Mutually orthogonal Latin squares
• Pairwise balanced designs
• t-designs
• Orthogonal arrays and codes
• Index

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)