- Paperback: 217 pages
- Publisher: Dover Publications (May 1986)
- Language: English
- ISBN-10: 0486650928
- ISBN-13: 978-0486650920
- Product Dimensions: 8 x 5.4 x 0.5 inches
- Shipping Weight: 8.8 ounces
- Average Customer Review: 3 customer reviews
- Amazon Best Sellers Rank: #3,496,419 in Books (See Top 100 in Books)
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The Four-Color Problem: Assaults and Conquest Paperback – May, 1986
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Paperback book. Approximately 5.5 x 8 sized book. A total of 217 pages. 1986, Dover Edition, first published in 1986, is an unbridged corrected republication of the work originally published by the McGraw-Hill International Book Company, NY, 1977, USA. The spine is tight, pages are clean and easy to read. Dover Publications, Inc. , NY. The boards show normal shelf wear. Bottom front board has a crease or fine line and bottom corner is worn or rubbed slightly. There is a tiny, very small, light brown stain about midway at the bottom of the book that is barely noticeable on the page edges, however does not bleed into the pages. A couple of minor finger line small creases on the back board where the previous owner held the book and read it. A good price for this book by Thomas L. Saaty and Paul C. Kainen. The following is taken from the prefix of this book: "We believe that mathematicians get more excitement by doing the entire job of proving the existence of solutions and then constructing them by themselves than they do by relying on the computer as a substantial partner in the undertaking. Still, ambitious experts in artificial intelligence are telling us that it will not be long before computers will be doing all that we do, better and faster." It continues: " We hope this book will continue to evoke interest in the four color problem, in its computer aided solution, and perhaps in finding an alternative way to prove it. By the way, a natural follow up would be a four color algorithm." A very interesting book and affordably priced.
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Top customer reviews
Since the 4CC has always been a popular topic in recreational mathematics there are a number of well-known books written before the proof was published which mention it in the context of graph colouring. Yet there have been few books published since the proof of the 4CC. Some are non-technical and dwell on the colourful history of the men and their mathematics. Most of the actual mathematics of graph colouring is confined to textbooks and inaccessible academic journals.
This is probably the best book for the non-specialist who is interested in the mathematics surrounding the 4CC; and it is certainly the best value being a low priced Dover edition. The book is divided into two parts: Part One deals with the history and proof of the 4CC; Part Two discusses alternative formulations of the 4CC and techniques used in earlier attempts to solve the 4CC. This book should be enjoyed by anyone who is interested in the 4CC, who has a modest background in mathematics and is sufficiently inspired to put in a little effort.