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| Richard P. Stanley 现任麻省理 学院数学教授、美国艺术一科学院院士、美国国家科学院院士。他是国际组合学界的领袖之一，曾获工业与应用数学学会授予的应用组合学的Polya奖，并于2001年因本书获得美国数学学会Steele奖，2003年获得Schock奖。 |
| Foreword Preface Notation 5 Trees and the Composition of Generating Functions 5.1 The Exponential Formula 5.2 Applications of the Exponential Formula 5.3 Enumeration of Trees 5.4 The Lagrange Inversion Formula 5.5 Exponential structures 5.6 Oriented Trees and the Matrix-Tree Theorem Notes References Exercises Solutions to Exercises 6 Algebraic,D-Finite,and Noncommutative Generating Functions 6.1 Algebraic Generaing Functions 6.2 Eexamples of Algebraic Series 6.3 Diagonals 6.4 D-Finite Generating Functions 6.5 Noncommutative Generating Functions 6.6 Algebric Formal Series 6.7 Noncommutative Diagonals Notes References Exercises Solutions to Exercises 7 Symmetric Functions …… A 1 Knuth Equivalence,Jeu de Taquin,and the Littlewood-Richardson Rule A 2 The Characters of GL Index Additional Errata and Addenda |
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