The provided text is the table of contents and prefaces for the book "The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions" by Bruce E. Sagan. The book is part of the Graduate Texts in Mathematics series published by Springer Science+Business Media, LLC. It covers various topics in group theory, combinatorics, and symmetric functions, with a focus on the symmetric group. The content includes: 1. **Group Representations**: Introduces fundamental concepts, matrix representations, modules, reducibility, and more. 2. **Representations of the Symmetric Group**: Discusses Young subgroups, tableaux, Specht modules, and combinatorial algorithms. 3. **Combinatorial Algorithms**: Focuses on the Robinson-Schensted algorithm, jeu de taquin, and other combinatorial techniques. 4. **Symmetric Functions**: Introduces generating functions, Schur functions, and the Littlewood-Richardson and Murnaghan-Nakayama rules. 5. **Applications and Generalizations**: Explores connections to combinatorial algorithms, differential posets, and unimodality. The book is designed to be accessible to graduate students and researchers, with minimal prerequisites beyond elementary group theory and linear algebra. The second edition includes updates and new material, such as the Novelli-Pak-Stoyanovskii bijection and applications to differential posets and growths. The author acknowledges contributions from various individuals and institutions, and provides a detailed list of symbols and references.The provided text is the table of contents and prefaces for the book "The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions" by Bruce E. Sagan. The book is part of the Graduate Texts in Mathematics series published by Springer Science+Business Media, LLC. It covers various topics in group theory, combinatorics, and symmetric functions, with a focus on the symmetric group. The content includes: 1. **Group Representations**: Introduces fundamental concepts, matrix representations, modules, reducibility, and more. 2. **Representations of the Symmetric Group**: Discusses Young subgroups, tableaux, Specht modules, and combinatorial algorithms. 3. **Combinatorial Algorithms**: Focuses on the Robinson-Schensted algorithm, jeu de taquin, and other combinatorial techniques. 4. **Symmetric Functions**: Introduces generating functions, Schur functions, and the Littlewood-Richardson and Murnaghan-Nakayama rules. 5. **Applications and Generalizations**: Explores connections to combinatorial algorithms, differential posets, and unimodality. The book is designed to be accessible to graduate students and researchers, with minimal prerequisites beyond elementary group theory and linear algebra. The second edition includes updates and new material, such as the Novelli-Pak-Stoyanovskii bijection and applications to differential posets and growths. The author acknowledges contributions from various individuals and institutions, and provides a detailed list of symbols and references.