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A Walk Through Combinatorics ebook

by M. Bona,Miklos Bona


If looking to improve your combinatorial problem solving or better grasp the scope of the field, "A Walk Through Combinatorics" is a slim, suitable solution. It is not, however, a full primer.

If looking to improve your combinatorial problem solving or better grasp the scope of the field, "A Walk Through Combinatorics" is a slim, suitable solution. Although it acquaints the reader with several topics, it seems little concerned with their unified development.

by MIKLOS BONA (Author). ISBN-13: 978-9813148840.

This is a textbook for an introductory combinatorics course that can take up one or two semesters.

Chapter 6, the chapter on cycles in combinatorics, was so complex that I had to skip it entirely. It's just that the book is too difficult. Even in other chapters, I am unable to do over 50% of the problems on my own. I am currently an independent learner. I have all of the background information necessary to study the book. Could anybody recommend me an easier book that would still cover a basic combinatorics course? combinatorics book-recommendation. asked Feb 20 '15 at 15:59.

A Walk Through Combinatorics - An Introduction to Enumeration and Graph Theory. Категория: Computer Science, Discrete Mathematics.

Discover new books on Goodreads. See if your friends have read any of Miklos Bona's books. Miklos Bona’s Followers. None yet. Miklos Bona. Walk Through Combinatorics, A: An Introduction to Enumeration and Graph Theory.

A Walk Through Combinatorics. This is a textbook for an introductory combinatorics course that can take up one or two semesters. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course.

This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of exercises, ranging in difficulty from "routine" to "worthy of independent publication", is included. In each section, there are also exercises that contain material not explicitly discussed in the text before, so as to provide instructors with extra choices if they want to shift the emphasis of their course.

It goes without saying that the text covers the classic areas, i.e. combinatorial choice problems and graph theory. What is unusual, for an undergraduate textbook, is that the author has included a number of more elaborate concepts, such as Ramsey theory, the probabilistic method and - probably the first of its kind - pattern avoidance. While the reader can only skim the surface of these areas, the author believes that they are interesting enough to catch the attention of some students. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

Fiarynara
If looking to improve your combinatorial problem solving or better grasp the scope of the field, "A Walk Through Combinatorics" is a slim, suitable solution. It is not, however, a full primer. Although it acquaints the reader with several topics, it seems little concerned with their unified development. For example, partitions and generating functions share an important connection not discussed. Induction is presented without elucidating strong induction or the well-ordered principle.

The book does not use a sequential approach, equally to its credit as its criticism as a learning tool. Of course, some chapters cohere out of necessity (e.g. binomial identities and compositions come after counting principles) but you can largely jump in wherever you wish, which is good for quickly gaining a working definition with an sample application or two. But there are also numerous unexpected forward references, which is hard to forgive in a mathematics textbook. The closing chapter section on computability however, is an appreciated capstone.

Practice problems lie mostly at what the intended audience would probably call the "challenging" level. This is fine, because Bona has meticulously worked out solutions for many of the problems in each chapter. I have not taken a precise count (ironically) but solutions appear to comprise at least half of the book's pages. If you can understand the explanatory parts of the chapter and the brief examples given, taking the time to work through the practice sets will reinforce the foundation well.

One thing I will never understand is why discrete math textbooks insist on a probability unit, Bayesian or otherwise.

Take the title seriously. This is a "walk" through the subject, and you don't get a chance to sit and analyze in one spot on a gentle pedestrian stroll: the major landmarks are tagged with introductory information, and you get to see a lot of them.
Zargelynd
I love this book. It's very interesting through out the book. Each section goes from very basic stuff to advance stuff which makes it's easy for you to follow.

Each chapter of the book, there are about 20+ problems with detail solutions in the book (Yes, I am not kidding-SOLUTION). It's perfect for people who want to practice and check their work or finding some hint when you are stuck.
It's a great way to learn how to solve combinatoric problems.

Moreover, it also have the supplementary problems ( this one with no solution), for people who want to challenge themselves more.

It's a great book for those who are new to combinatoric and want to find their way in. And it has so many difficult levels that you won't be bored. Recommended!!!
Jeb
Just for disclosure, I'm a senior undergraduate in mathematics. This will suggest something about my background, which is always an important factor in how a work is received.

It seems to be a general trend that participants in Olympiads write texts with a lot of problems -- as opposed to none or just exercises. This is the kind of text Bona has written. There are hundreds of problems and they range in technique and difficulty. Personally, I think these are the best kinds of textbooks because they ask you to spend a lot of time on a few problems and this really helps you get in there and see what's happening at a deeper level.

But one thing unique about Bona's text that is especially nice is the inclusion of detailed solutions to all of the problems not given in the supplementary sections. Writing a clear and instructive textbook is a great skill. But writing solutions to difficult problems is probably a more difficult skill to develop, yet Bona has it. All of the material here is very helpful for developing a strong base for future work in combinatorics.

Another additional topic that I'm very happy he included is the section on complexity. Historically, combinatorics and complexity have been closely related, which is something that has only increased in recent decades. But Bona's text is the only one I've seen that is introductory and includes a discussion of computational complexity. This is a wonderful feature to an already outstanding textbook.

I've given the text four stars because I've read just three or four chapters. They've all been great, but this is less than half of the textbook.
HyderCraft
This book goes step by step on the elementary subjects of Combinatorics, contains many of examples and solved exercises, such that the reader or any autodidact student can experience a meaningful studying experience.
Original
I wish that all math books should be written the way this book offers with great examples w/solutions for students to try out first and then a set of supplemental problems that follow through for more practices.
Syleazahad
it is very good.fast and excellent
A Walk Through Combinatorics ebook
Author:
M. Bona,Miklos Bona
Category:
Mathematics
Subcat:
EPUB size:
1387 kb
FB2 size:
1811 kb
DJVU size:
1261 kb
Language:
Publisher:
World Scientific Publishing Company; 1st edition (June 15, 2002)
Pages:
424 pages
Rating:
4.1
Other formats:
rtf lrf mbr mobi
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