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Combinatorial Problems and Exercises (AMS Chelsea Publishing), by Laszlo Lovasz
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The main purpose of this book is to provide help in learning existing techniques in combinatorics. The most effective way of learning such techniques is to solve exercises and problems. This book presents all the material in the form of problems and series of problems (apart from some general comments at the beginning of each chapter). In the second part, a hint is given for each exercise, which contains the main idea necessary for the solution, but allows the reader to practice the techniques by completing the proof. In the third part, a full solution is provided for each problem. This book will be useful to those students who intend to start research in graph theory, combinatorics or their applications, and for those researchers who feel that combinatorial techniques might help them with their work in other branches of mathematics, computer science, management science, electrical engineering and so on. For background, only the elements of linear algebra, group theory, probability and calculus are needed.
- Sales Rank: #1048878 in Books
- Brand: Brand: American Mathematical Society
- Published on: 2007-06-26
- Original language: English
- Number of items: 1
- Dimensions: 10.00" h x 7.25" w x 1.50" l, 2.75 pounds
- Binding: Hardcover
- 639 pages
- Used Book in Good Condition
Review
"Lovász provides extensive help to those wishing to learn existing techniques in combinatories, approaching the topic in a participatory lecture format and providing hundreds of progressive exercises." ---- SciTech Book News
Most helpful customer reviews
5 of 5 people found the following review helpful.
If you want to improve your combinatorics skills and get better in graph theory then this is the book to buy.
By Peteris Krumins
I've put this book #10 in my Top 100 Programming, Computer and Science books list:
http://www.catonmat.net/blog/top-100-books-part-two/
This book is probably the most advanced book that I will recommend in the whole series. But it's so good that I just had to recommend it as soon as possible and put it in spot #10. This book is written in problem-hint-solution style. Problems take the first 100 pages, followed by hints and solutions in the next 500 pages. Lovasz starts off with simple problems that anyone can solve and quickly moves to more advanced problems. There is no theory in this book.
Every once in a while when I feel like doing some math I work through a couple of problems. I've found that problem-hint-solution style is perfect for quickly learning new problem solving techniques. If you want to improve your combinatorics skills and get better in graph theory, and you love to solve problems then this is the book to buy.
Funny story - I've heard that the first year PhD students in Hungary (where the author is from) are required to work through all the problems in this book. Those who can't solve the problems don't make it to second year of PhD studies.
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