- Hardcover: 142 pages
- Publisher: A K Peters/CRC Press; 1 edition (Jan 1 1998)
- Language: English
- ISBN-10: 1568810792
- ISBN-13: 978-1568810799
- Product Dimensions: 23.4 x 18.8 x 1.5 cm
- Shipping Weight: 544 g
- Average Customer Review: 5.0 out of 5 stars See all reviews (1 customer review)
- Amazon Bestsellers Rank: #1,150,191 in Books (See Top 100 in Books)
- See Complete Table of Contents
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Product Details |
Product Description
Book Description
This book is a tribute to Paul Erd\H{o}s, the wandering mathematician once described as the "prince of problem solvers and the absolute monarch of problem posers." It examines -- within the context of his unique personality and lifestyle -- the legacy of open problems he left to the world after his death in 1996. Unwilling to succumb to the temptations of money and position, Erd\H{o}s never had a home and never held a job. His "home" was a bag or two containing all his belongings and a record of the collective activities of the mathematical community. His "job" was one at which he excelled: identifying a fundamental roadblock in some particular line of approach and capturing it in a well-chosen, often innocent-looking problem, whose solution would likewise provide insight into the underlying theory. By cataloguing the unsolved problems of Erd\H{o}s in a comprehensive and well-documented volume, the authors hope to continue the work of an unusual and special man who fundamentally influenced the field of mathematics.
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First Sentence
One of the main treasures Paul Erdos left us is his collection of problems, most of which are still open today. Read the first page
Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
One of the main treasures Paul Erdos left us is his collection of problems, most of which are still open today. Read the first page
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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Most helpful customer reviews
5.0 out of 5 stars
Only one of many such books that could be written,
By
This review is from: Erdös on Graphs: His Legacy of Unsolved Problems (Hardcover)
What is incredible about this book is not that there are over one hundred pages of unsolved problems posed all or in part by Paul Erdos. The amazing thing is that the word graphs could be replaced by several other mathematical words or phrases and a similar book could be written. Erdos was an expert in so many areas of mathematics and perhaps his greatest ability was in putting forward just the right questions to just the right people. There is very little explanation of the problem proposals, the authors rely on a great deal of the listing of references to fill in the details. Therefore, anyone interested in exploring the problems in greater detail should be prepared to spend some time and effort in tracking down the relevant articles. Fortunately, the authors themselves did a great deal of that, as there are complete references for every problem that appears.The range of problems is a demonstration of the depth of his understanding of graph theory, and also a demonstration of how little is still unresolved. I put forward no pretense to understanding any more than a few of the problems in this book. However, that did not alter my interest in the problems, as I was able to understand the fundamentals of almost all of them. Reading this book is one of the most educational experiences that I have had in the past year and I encourage all mathematicians at the level of slightest interest in graph theory and above to read it. Published in Journal of Recreational Mathematics, reprinted with permission.
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Most Helpful Customer Reviews on Amazon.com (beta) Amazon.com:
3.0 out of 5 stars (2 customer reviews) 15 of 15 people found the following review helpful
5.0 out of 5 stars
Only one of many such books that could be written,
By Charles Ashbacher - Published on Amazon.com
This review is from: Erdös on Graphs: His Legacy of Unsolved Problems (Hardcover)
What is incredible about this book is not that there are over one hundred pages of unsolved problems posed all or in part by Paul Erdos. The amazing thing is that the word graphs could be replaced by several other mathematical words or phrases and a similar book could be written. Erdos was an expert in so many areas of mathematics and perhaps his greatest ability was in putting forward just the right questions to just the right people. There is very little explanation of the problem proposals, the authors rely on a great deal of the listing of references to fill in the details. Therefore, anyone interested in exploring the problems in greater detail should be prepared to spend some time and effort in tracking down the relevant articles. Fortunately, the authors themselves did a great deal of that, as there are complete references for every problem that appears.The range of problems is a demonstration of the depth of his understanding of graph theory, and also a demonstration of how little is still unresolved. I put forward no pretense to understanding any more than a few of the problems in this book. However, that did not alter my interest in the problems, as I was able to understand the fundamentals of almost all of them. Reading this book is one of the most educational experiences that I have had in the past year and I encourage all mathematicians at the level of slightest interest in graph theory and above to read it. Published in Journal of Recreational Mathematics, reprinted with permission. 7 of 34 people found the following review helpful
1.0 out of 5 stars
Immediate throw away for non-professional Mathematicians,
By R. Bagula "Roger L. Bagula" - Published on Amazon.com
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This review is from: Erdös on Graphs: His Legacy of Unsolved Problems (Hardcover)
I got a book by Ron Graham and Fan Chung.It is amazingly bad. It is a book on graphs without one graph diagram or graph matrix. I buy these books for learning. I'm left with not being able to give an honest review because it would be politically suicide in Mathematics to cross Ron Graham who has been president of both Mathematics societies. The book is a very badly written one, too, with a few mostly ancient ( from as far back as the 1930's ) problems in graph theory. I have to go to MathWorld to get an idea of what the graphs might look like! Since it appears that the graphs are the dog that wags the matrices, I thought I might get further with some better understanding. It appears this book is the wrong place to get it. One reason as I see it that Fan Chung and Ron Graham don't answer emails much is that they really aren't all that nice, good or smart: their "meal ticket" was Erdos and he is dead now. That's not a "pretty" conclusion or one I wanted, you know? Tattle tale stories about the great man aren't going to save this one. Even for me this may take years to get my money's worth out of. I looked at the review by Charles Ashbacher and I had to set the record straight. He is a friend of a friend who is also into integer sequences. Somebody has to be honest here. |
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