Enumerative Combinatorics: Volume 2

ISBN-13: 9781009262484 / Miękka / 2023 / 788 str.

Richard (Massachusetts Institute of Technology) Stanley

Opis

Revised second volume of the standard guide to enumerative combinatorics, including the theory of symmetric functions and 159 new exercises.

Recenzje

'Richard Stanley's Enumerative Combinatorics, in two volumes, is an essential reference for researchers and graduate students in the field of enumeration. Volume 2, newly revised, includes comprehensive coverage of composition and inversion of generating functions, exponential and algebraic generating functions, and symmetric functions. The treatment of symmetric functions is especially noteworthy for its thoroughness and accessibility. Engaging problems and solutions, and detailed historical notes, add to the value of this book. It provides an excellent introduction to the subject for beginners while also offering advanced researchers new insights and perspectives.' Ira Gessel, Brandeis University

Spis treści

Preface to Second Edition; Preface; 5. Trees and the Composition of Generating Functions; 6. Algebraic Generating Functions; 7. Symmetric Functions; Appendices: References; Index.