Written for students with a basic knowledge of linear algebra and abstract algebra, this text contains a large number of exercises graded in difficulty, with solutions or references for almost all exercises. This book should be of interest to degree and diploma students taking courses in combinatorics in departments of mathematics and statistics.
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This is the second volume of a two-volume work on the subject of enumerative combinatorics, an area of mathematics with connections to many other topics within and outside of mathematics, such as computer science, spectroscopy, algebraic geometry, algebraic topology, and representation theory. Many topics covered (in particular, the theory of symmetric functions) are not available in any other textbook at this level, and the usefulness of the book is enhanced by over 250 exercises with solutions.Although primarily intended as a textbook for graduate students and a resource for professional mathematicians, some parts of the book will be accessible to mathematics undergraduates and even interested amateurs.
Richard P. Stanley is a Professor of Applied Mathematics at the Massachusetts Institute of Technology. He is universally recognized as a leading expert in the field of combinatorics and its applications to a variety of other mathematical disciplines. In addition to the seminal two-volume book Enumerative Combinatorics, he is the author of Combinatorics and Commutative Algebra (1983) as well as more than 100 research articles in mathematics. Among Stanley's many distinctions are membership in the National Academy of Sciences (elected in 1995), the 2001 Leroy P. Steele Prize for mathematical exposition and the 2003 Schock Prize.
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