MHB Combinatorics book recommendation.

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SUMMARY

The forum discussion centers on recommendations for advanced combinatorics books suitable for individuals with a solid background in combinatorial methods and algebra. Two specific titles were highlighted: "Combinatorics Topics, Techniques, Algorithms" by P.J. Cameron and "Hadamard Matrices and their Applications" by K.J. Horadam. The user expressed a preference for books that incorporate algebraic methods in combinatorics, indicating familiarity with topics such as Linear Algebra, Abstract Algebra, Real Analysis, Elementary Number Theory, and Graph Theory.

PREREQUISITES
  • Understanding of combinatorial methods including counting proofs and the Pigeon Hole Principle.
  • Familiarity with Linear Algebra and Abstract Algebra.
  • Knowledge of Real Analysis and Elementary Number Theory.
  • Experience with Graph Theory concepts.
NEXT STEPS
  • Research "Combinatorics Topics, Techniques, Algorithms" by P.J. Cameron for advanced combinatorial techniques.
  • Explore "Hadamard Matrices and their Applications" by K.J. Horadam for applications of Hadamard matrices in combinatorics.
  • Investigate additional resources on algebraic methods in combinatorics.
  • Look into "Combinatorial Designs: Constructions and Analysis" for further insights into combinatorial structures.
USEFUL FOR

This discussion is beneficial for advanced mathematics students, combinatorial researchers, and educators seeking to deepen their understanding of combinatorial methods and algebraic applications.

caffeinemachine
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Hello MHB.
I want to read an advanced combinatorics book. I am well versed in combinatorial methods like counting proofs, Pigeon Hole Principle, criticality, induction, graphs etc. I have good knowledge of undergraduate algebra so I am fine if the book you recommend has some algebraic methods.. in fact I would prefer reading a book which discusses algebraic methods in combinatorics. I am comfortable with the following topics at present:

Linear Algebra
Abstract Algebra
Real Analysis
Elementary Number Theory
Graph Theory

Can someone recommend an appropriate book? Thank you in advance.
 
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caffeinemachine said:
Hello MHB.
I want to read an advanced combinatorics book. I am well versed in combinatorial methods like counting proofs, Pigeon Hole Principle, criticality, induction, graphs etc. I have good knowledge of undergraduate algebra so I am fine if the book you recommend has some algebraic methods.. in fact I would prefer reading a book which discusses algebraic methods in combinatorics. I am comfortable with the following topics at present:

Linear Algebra
Abstract Algebra
Real Analysis
Elementary Number Theory
Graph Theory

Can someone recommend an appropriate book? Thank you in advance.

Hi caffeinemachine, :)

These are the books that I have used. Not sure whether these will fit your particular needs though.

1) Combinatorics Topics, Techniques, Algorithms by P.J. Cameron

2) Hadamard Matrices and their Applications by K.J. Horadam

You might be interested in reading >>this<<.

Kind Regards,
Sudharaka.
 

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