Discrete Mathematics

Martin Aigner is a professor of mathematics at the Free University of Berlin. He received his PhD at the University of Vienna and has held a number of positions in the USA and Germany before moving to Berlin. He is the author of several books on discrete mathematics, graph theory, and the theory of search. The Monthly article Turan's graph theorem earned him a 1995 Lester R. Ford Prize of the MAA for expository writing, and his book Proofs from the BOOK with Gunter M. Ziegler has been an international success with translations into 12 languages.

Counting: Fundamentals
Summation
Generating functions
Counting patterns
Asymptotic analysis
Bibliography for Part 1
Graphs and algorithms: Graphs
Trees
Matchings and networks
Searching and sorting
General optimization methods
Bibliography for Part 2
Algebraic systems: Boolean algebras
Modular arithmetic
Coding
Cryptography
Linear optimization
Bibliography for Part 3
Solutions to selected exercises
Index