A Course in Combinatorics 2nd Edition by J. H. van Lint (PDF)

Description

This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The book was not in good condition. Previous owner had used pencil all over the book. This was not mentioned

⭐good book

⭐I think this is an excellent book but I have a few concerns about its organization.The writing is very clear and there is a lot of explanation. Exercises are mixed in with the text, which I like very much; it makes them seem more natural, and it makes the book well-suited for self-study. I would say the difficulty level of this book is a bit inconsistent–but this is more a function of the material than of the writing style. The authors make everything as clear as possible, but they choose to include some difficult topics which require more thought.My main criticism of this book is about the order of topics, which is not only unorthodox but can be inconvenient as well. Many concepts which are often presented earlier in combinatorics texts, such as binomial coefficients and stirling numbers, are relegated to later chapters, where their presentation depends on results from earlier chapters. I find it difficult to skip around in this book–if you do not read it from the beginning, in order, it will be hard to follow the arguments in some of the chapters. This sort of dependency is something I can accept in a more advanced text but I think is inappropriate for a text at this level.I think this is an excellent book to add to your collection, but if you’re going to grab only one or two books in combinatorics I would recommend other books. The organization issues I mentioned could make this book hard to use as a standalone text for a course if you did not wish to follow the same course of development chosen by the authors. Cameron’s book is written at a similar level and covers a similar amount of material (although it has a very different style of presentation), and it is much easier to skip around in. Stanley’s “Enumerative Combinatorics” is a denser, more advanced text that most will find more difficult to follow than this book, but it is still easier to skip around in as well.

⭐I am a lover of combinatorics, and I have read quite a few on the topic. This one is as good as any. Lucidly written, you can pretty much dive into any chapter, reading, scribbling, racking your brain, and come away with a deep sense of satisfaction and pride and vanity:). Price is so resonable with regard for its extensive content. You get a feel that the author really wants to share with readers his love and joy for the subject and not just to make some money. Thank you, my dear professors!

⭐As a computer science MSc student with a minor in discrete mathematics, I found this book very hard to follow. There is little explanation for the various steps in proofs, and it is often up to the reader to figure out the details, which are usually not what I would call trivial. Given the amount of material covered in the book, I understand that the explanations have to be brief, but I would not buy this as a first book in the subject unless I had very extensive knowledge of mathematics beforehand.

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