Download PDF Design Theory, Second Edition (Discrete Mathematics and Its Applications), by Charles C. Lindner, Christopher A. Rodger
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Design Theory, Second Edition (Discrete Mathematics and Its Applications), by Charles C. Lindner, Christopher A. Rodger
Download PDF Design Theory, Second Edition (Discrete Mathematics and Its Applications), by Charles C. Lindner, Christopher A. Rodger
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Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics.
This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs.
The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems.
By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.
- Sales Rank: #1235486 in Books
- Brand: Brand: Chapman and Hall/CRC
- Published on: 2008-10-23
- Original language: English
- Number of items: 1
- Dimensions: 9.30" h x .70" w x 6.20" l, 1.10 pounds
- Binding: Hardcover
- 272 pages
- Used Book in Good Condition
Review
…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
About the Author
Auburn University, Alabama, USA Monmouth University, Middletown, New Jersey, USA
Most helpful customer reviews
3 of 5 people found the following review helpful.
An excellent introduction to the design theory world
By FELIU D SAGOLS
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.
2 of 6 people found the following review helpful.
Very Limited Book
By Steve M.
This book has very few examples and the exercies are do not
follow 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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