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Title: Combinatorics: A Problem Oriented Approach by Daniel A. Marcus ISBN: 0-88385-710-3 Publisher: The Mathematical Association of America Pub. Date: 14 January, 1999 Format: Paperback Volumes: 1 List Price(USD): $35.50 |
Average Customer Rating: 2.67 (3 reviews)
Rating: 1
Summary: problem -oriented with no solutions!
Comment: Yes, there are some solutions. I was extremely disappointed with this book. To be fair, it says " Classroom Resourse Materials". It may be a fantastic book if you are an instructor looking for problems for your students. However, I am a student. I hoped to get a book that would show me in some detail how these problems are solved. It didn't do that for even one. Not one. It did give the answer to some. It didn't even explain anything. It is what it says: a book of problems. Quite frankly, I don't think it's that hard to think of problems. The hard part is solving them. So, if you need to understand how to work problems -- this book is not for you.
Rating: 4
Summary: OK for High school gifted, Too basic for university students
Comment: This book contains several hundereds of problems in combinatorics, stressing on counting(enumeration). Last chapters deal with recurrence and generating function. The most advantage of this book is that it's problems are almost basic and classic, BUT this is at the same time the most disadvantage. I find this book is well suited to high school talented students(In fact I assigned some of the sections to my students as self-study homework, the result is good enough). But for universities students, these problems seem TOO EASY and routine. One more suggestion: Since combinatorics is a field changes so fast, a problem book could contains material more exciting and relatively new.
Rating: 3
Summary: A collection of excellent, yet routine problems
Comment: We all can count, but few can count really well. Combinatorics can be considered the art of sophisticated counting and it is a subject often neglected in the college curriculum. This book, with a direct, plunge ahead to the problems approach, covers all of the standard areas of the field.
Since the amount of explanatory text is kept to a minimum, it would not be easy to use the book as a textbook. The standard approach is a few paragraphs of text followed by a page or more of problems. Without sufficient additional explanation, the general student will no doubt struggle.
However, the quality of the problems is excellent and solutions to many are provided. Problems in combinatorics are fairly standard issue and the author acknowledges this in a brief list of standard problem types at the end of the book. However, it would have been an improvement if appropriate page numbers would have been associated with each entry in the list. Another feature that adopters will find very helpful is a list of dependencies. The list is a simple table noting that the problem dependencies are such that a problem can be assigned after a certain other one has been done.
While the quality of the book is excellent, one should think carefully before using it as a textbook. Much better suited as a course supplement, it is probably best used as a reference.
Published in Journal of Recreational Mathematics, reprinted with permission
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