Here is a list of some popular discrete mathematics books published by US book publishers:
"Discrete Mathematics and Its Applications" by Kenneth H. Rosen
"Concrete Mathematics: A Foundation for Computer Science" by Ronald L. Graham, Donald E. Knuth, and Oren Patashnik
"Introduction to the Theory of Computation" by Michael Sipser
"A Course in Combinatorics" by J.H. van Lint and R.M. Wilson
"Combinatorial Optimization: Algorithms and Complexity" by Christos H. Papadimitriou and Kenneth Steiglitz
"Combinatorics: Topics, Techniques, Algorithms" by Peter J. Cameron
"Graph Theory" by Reinhard Diestel
"Combinatorial Group Theory" by W. Magnus, A. Karrass, and D. Solitar
"The Art of Computer Programming, Volume 4A: Combinatorial Algorithms, Part 1" by Donald E. Knuth
"Algebraic Combinatorics: Walks, Trees, Tableaux, and More" by Miklos Bona
These books cover a wide range of topics in discrete mathematics, including combinatorics, graph theory, computational complexity, group theory, and algorithm design. They are suitable for readers with a variety of backgrounds, from undergraduate students to researchers in computer science and mathematics.
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