Combinatorics: A Guided Tour David R. Mazur is an English-language textbook that focuses on discrete mathematics with a clear emphasis on combinatorics and graph theory. This textbook provides a structured introduction to counting, existence, construction, and optimization problems within finite sets.
It covers fundamental principles such as counting techniques, distributions, sequences, Polya theory, combinatorial designs, and applications in graph theory, including tree enumeration, the chromatic polynomial, and Ramsey theory. The text highlights typical combinatorial ways of thinking such as bijective and combinatorial proof methods and recursive analysis.
Because this text contains about 350 reading exercises and more than 470 problems, it serves as a practical guided tour through essential topics in discrete mathematics and combinatorics. The material is suitable for use in bachelor’s programs and in early master’s programs in applied mathematics.
Series: AMS/MAA Textbooks