By Richard P. Stanley

This e-book, the 1st of a two-volume simple creation to enumerative combinatorics, concentrates at the thought and alertness of producing services, a primary device in enumerative combinatorics. Richard Stanley covers these elements of enumerative combinatorics with the best functions to different components of arithmetic. The 4 chapters are dedicated to an obtainable creation to enumeration, sieve methods--including the primary of Inclusion-Exclusion, partly ordered units, and rational producing features. a great number of routines, just about all with ideas, increase the textual content and supply access into many parts now not coated without delay. Graduate scholars and study mathematicians who desire to follow combinatorics to their paintings will locate this an authoritative reference.

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