Useful guide covers two major subdivisions of combinatorics — enumeration and graph theory — with emphasis on conceptual needs of computer science. Each part is divided into a "basic concepts" chapter emphasizing intuitive needs of the subject, followed by four "topics" chapters that explore these ideas in depth. Includes 219 figures. Unabridged republication of original 1985 edition. References for Linear Order & for Graphs, Trees, and Recursions.
Formal Knot Theory by Louis H. Kauffman The author draws upon his work as a topologist to illustrate the relationships between knot theory and statistical mechanics, quantum theory, and algebra, as well as the role of knot theory in combinatorics. 51 illustrations. 1983 edition.
Foundations of Combinatorics with Applications by Edward A. Bender, S. Gill Williamson Suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics, this introductory text explores counting and listing, graphs, induction and recursion, and generating functions. Includes numerous exercises (some with solutions), notes, and references.
Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations by Wilhelm Magnus, Abraham Karrass, Donald Solitar A seminal, much-cited account of combinatorial group theory — co-authored by a distinguished teacher of mathematics and a pair of his colleagues — this text for graduate students features numerous helpful exercises. Second, revised 1976 edition.
Lattice Theory: First Concepts and Distributive Lattices by George Grätzer This outstanding text is written in clear language and enhanced with many exercises, diagrams, and proofs. It discusses historical developments and future directions and provides an extensive bibliography and references. 1971 edition.
