What Are Some Recommended Books for Learning Combinatorics?

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  • Thread starter Thread starter sebasvargasl
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SUMMARY

This discussion centers on recommended books for learning combinatorics, particularly for math majors seeking to strengthen their understanding of the subject. Participants emphasize the importance of defining specific goals, such as whether the focus is on problem-solving techniques or advanced topics like generating functions. Additionally, the discussion highlights the value of programming skills for enumerating combinations, suggesting that practical applications can enhance comprehension.

PREREQUISITES
  • Basic understanding of combinatorial principles
  • Familiarity with generating functions
  • Problem-solving skills in mathematics
  • Programming knowledge for enumerating combinations
NEXT STEPS
  • Research combinatorial problem-solving techniques
  • Explore advanced topics in generating functions
  • Learn programming languages suitable for combinatorial enumeration, such as Python
  • Identify and review key combinatorics textbooks, such as "Concrete Mathematics" by Graham, Knuth, and Patashnik
USEFUL FOR

Math majors, educators, and anyone interested in deepening their understanding of combinatorics and its applications in problem-solving and programming.

sebasvargasl
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Hello community. I'd like to know about good books dealing with combinatorics that you might recommend. I'm a math major who has neglected this area for some time now and essentially I feel like I don't know how to count. Advice is welcome!
 
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I'm sorry you are not finding help at the moment. Is there any additional information you can share with us?
 
We need to know the goal more clearly. Do you just want practice at solving problem like "How many 4 handed poker hands are there where one player has 2 red jacks?" Or do you want more advanced treatments of things like generating functions? Can you write computer programs? Writing programs to enumerate combinations is an interesting topic (as opposed to merely saying what total numbers of such things exist.)
 

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