Looking for a good Combinatorics book.

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Discussion Overview

The discussion revolves around finding suitable combinatorics books for someone struggling with the subject, particularly in relation to problems encountered in exams. The scope includes recommendations for textbooks and resources that cover permutations and combinations, as well as foundational concepts relevant to pre-calculus.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses difficulty with combinatorics and seeks book recommendations that align with exam expectations.
  • Another participant suggests browsing Amazon for combinatorics titles and mentions a specific book, "A Course in Combinatorics," while noting the importance of reading reviews.
  • A different participant clarifies that their practice sheet focuses on "Permutations and Combinations," indicating a need for resources that specifically address these topics.
  • One participant mentions that the study material appears to be pre-calculus level and suggests Khan Academy as a resource, although this is contested by another participant who feels they are not a complete beginner.
  • A participant recommends "A Walk Through Combinatorics" by Bona, stating it is comprehensive but may not be suitable for those unfamiliar with the basics of combinatorics.

Areas of Agreement / Disagreement

Participants have differing views on the appropriate level of resources needed, with some suggesting beginner materials while others assert that they require more advanced texts. There is no consensus on a single recommended book, as various titles are proposed with differing levels of suitability for the original poster's needs.

Contextual Notes

Participants reference specific resources and materials, but there is uncertainty about the exact level of difficulty required for the original poster's studies. The discussion includes links to external resources and reviews, but no definitive recommendations are made.

Who May Find This Useful

Readers interested in combinatorics, particularly those preparing for exams or seeking to strengthen their understanding of permutations and combinations, may find this discussion relevant.

Saitama
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I find myself too weak at this subject. Even spending a lot of time on problems doesn't give good results. I can do the easier problems and sometimes a few intermediate ones but everyone knows that these kind of problems aren't really asked in the exams.

Anyone got some nice suggestions?
 
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Since no one replied yet, here's some titles from Amazon:

https://www.amazon.com/s/ref=nb_sb_...ps&rh=i:aps,k:combinatorics&tag=pfamazon01-20

Also somewhere on PF there's a recommended book section that may list some books of interest.

You could take book titles of interest and search PF or Google to see if anyone has posted an opinion on it.

Searching on book: A Course in Combinatorics

I found this Google link:

http://books.google.com/books/about/A_Course_in_Combinatorics.html?id=5l5ps2JkyT0C

so now you could read it and see if it talks to you. Five Amazon reviewers give it a 4.5 star rating so I'd also read their comments.
 
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jedishrfu said:
Also somewhere on PF there's a recommended book section that may list some books of interest.

Yes but searching for combinatorics gives nothing. :(

I knew I was not being clear in my first post. Sorry about that. I have looked at the book you said but that deals with stuff not in my course. I am not sure if Combinatorics is the right word. The practice sheet I am currently going through uses "Permutations and Combinations". I am basically looking for a book which deals with the concepts and techniques related to the problems given in the practice sheet. Here is a pdf of the practice sheet:

Go to this link: http://www.scribd.com/doc/37965558/Bansal-Classes-Mathematics-Study-Material-for-IIT-JEE

And head to page 43. It shows a page with title "Permuation and Combinations".
 
jedishrfu said:
From your study material, it looks like this is pre-calculus. The stuff you need just prior to learning Calculus.

Have you checked Khans Academy:

https://www.khanacademy.org/math/trigonometry


also I found this book that got good reviews on Amazon perhaps others here can comment on it too:

https://www.amazon.com/dp/1592441300/?tag=pfamazon01-20

Nah, I am not a complete beginner. I am not sure how did you think of Khan Academy after looking at the practice sheet. Were the problems too easy? The difficulty level of Exercise I is less than Exercise II in the sheet I posted but they aren't too easy, beginner level resources won't do me any good.

Thanks for your time jedishrfu!
 
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A Walk Through Combinatorics by Bona is the one we use at my school. It's a very conclusive book. I'd definitely recommend it. https://www.amazon.com/dp/9814335231/?tag=pfamazon01-20

This covers a lot of ground. I don't think it's fitting for people who aren't familiar with combinatorics though. Assuming you know the basics and you have a good math background, I'm sure it's exactly what you're looking for. I was very interested in graph theory, and this was very divulging for that. Hope this helps!
 
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