Combinatorics/graph theory or number theory books

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SUMMARY

This discussion focuses on recommended books for combinatorics and number theory, particularly for students preparing for an REU in discrete math. "A Walk Through Combinatorics" by Bona is highlighted as an excellent introductory text for combinatorics. Additionally, "Schaum's Outline to Combinatorics" is suggested for further study. For number theory, "Number Theory" by Burton is recommended for those with a foundational understanding of elementary number theory and algebra.

PREREQUISITES
  • Familiarity with elementary number theory
  • Basic understanding of algebra
  • Knowledge of combinatorial concepts
  • Introduction to graph theory
NEXT STEPS
  • Explore "A Walk Through Combinatorics" by Bona for a comprehensive overview
  • Study "Schaum's Outline to Combinatorics" for additional practice and insights
  • Read "Number Theory" by Burton to deepen understanding of advanced number theory
  • Investigate graph theory resources to supplement algorithms coursework
USEFUL FOR

Students in discrete mathematics, particularly those preparing for research experiences in combinatorics and number theory, as well as educators seeking to enhance their curriculum with recommended texts.

modnarandom
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I'm going to be at an REU for discrete math and combinatorics over the summer. Do you have suggestions for combinatorics books to look at? An introduction to graph theory would especially help (I'm taking an algorithms class but I doubt that it would go into much depth regarding graph theory)? I think the book "A Walk Through Combinatorics" (Bona) is quite good for a general overview of combinatorics, but I'm also wondering about what other things I could look at. Also, any suggestions for a number theory book for someone already familiar with elementary number theory and some background in algebra?
 
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These are the best books I read during Math Olympiad Preparations, Surely It will help you.
Schaum's Outline to Combinatorics.

Number Theory by Burton.
 

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