By Martin J. Erickson
Praise for the First Edition
“This very good textual content should still turn out an invaluable accoutrement for any constructing arithmetic software . . . it’s brief, it’s candy, it’s superbly written.” —The Mathematical Intelligencer
“Erickson has ready an exemplary paintings . . . strongly instructed for inclusion in undergraduate-level library collections.” —Choice
Featuring a latest procedure, Introduction to Combinatorics, moment Edition illustrates the applicability of combinatorial equipment and discusses issues that aren't ordinarily addressed in literature, resembling Alcuin’s series, Rook paths, and Leech’s lattice. The ebook additionally provides basic effects, discusses interconnection and problem-solving recommendations, and collects and disseminates open difficulties that increase questions and observations.
Many very important combinatorial equipment are revisited and repeated numerous occasions during the publication in workouts, examples, theorems, and proofs alike, permitting readers to construct self assurance and make stronger their figuring out of advanced fabric. moreover, the writer effectively courses readers step by step via 3 significant achievements of combinatorics: Van der Waerden’s theorem on mathematics progressions, Pólya’s graph enumeration formulation, and Leech’s 24-dimensional lattice. Along with up to date tables and references that replicate fresh advances in a number of components, equivalent to error-correcting codes and combinatorial designs, the Second Edition additionally features:
- Many new routines to assist readers comprehend and observe combinatorial concepts and ideas
- A deeper, investigative learn of combinatorics via routines requiring using laptop programs
- Over fifty new examples, ranging in point from regimen to complex, that illustrate very important combinatorial concepts
- Basic ideas and theories in combinatorics in addition to new and leading edge leads to the field
Introduction to Combinatorics, moment Edition is a perfect textbook for a one- or two-semester series in combinatorics, graph conception, and discrete arithmetic on the upper-undergraduate point. The e-book is additionally a very good reference for a person drawn to a number of the purposes of effortless combinatorics.