Title
The Symmetric Group: Representations, Combinatorial Algorithms, And Symmetric Functions (Graduate Texts In Mathematics, Vol. 203,New
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I Have Been Very Gratified By The Response To The First Edition, Which Has Resulted In It Being Sold Out. This Put Some Pressure On Me To Come Out With A Second Edition And Now, Finally, Here It Is. The Original Text Has Stayed Much The Same, The Major Change Being In The Treatment Of The Hook Formula Which Is Now Based On The Beautiful Novellipakstoyanovskii Bijection (Nps 97]. I Have Also Added A Chapter On Applications Of The Material From The First Edition. This Includes Stanley'S Theory Of Differential Posets (Stn 88, Stn 90] And Fomin'S Related Concept Of Growths (Fom 86, Fom 94, Fom 95], Which Extends Some Of The Combinatorics Of Snrepresentations. Next Come A Couple Of Sections Showing How Groups Acting On Posets Give Rise To Interesting Representations That Can Be Used To Prove Unimodality Results (Stn 82]. Finally, We Discuss Stanley'S Symmetric Function Analogue Of The Chromatic Polynomial Of A Graph (Stn 95, Stn Ta]. I Would Like To Thank All The People, Too Numerous To Mention, Who Pointed Out Typos In The First Edition. My Computer Has Been Severely Reprimanded For Making Them. Thanks Also Go To Christian Krattenthaler, Tom Roby, And Richard Stanley, All Of Whom Read Portions Of The New Material And Gave Me Their Comments. Finally, I Would Like To Give My Heartfelt Thanks To My Editor At Springer, Ina Lindemann, Who Has Been Very Supportive And Helpful Through Various Difficult Times.
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- Q: How many pages does this book have? A: This book has two hundred fifty six pages. It provides comprehensive coverage of its subject matter in the Graduate Texts in Mathematics series.
- Q: What are the dimensions of the book? A: The book measures six point three eight inches in length, zero point six eight inches in width, and nine point five inches in height. These dimensions make it easy to handle and store.
- Q: What is the binding type of this book? A: This book is bound in hardcover. This ensures durability and a professional appearance suitable for academic environments.
- Q: Who is the author of 'The Symmetric Group'? A: The author of this book is Bruce E. Sagan. He is known for his expertise in combinatorial mathematics and representations.
- Q: What is the main focus of this book? A: This book focuses on representations, combinatorial algorithms, and symmetric functions within the context of the symmetric group. It is designed for graduate-level mathematics.
- Q: Is this book suitable for beginners? A: No, this book is not primarily for beginners. It is intended for graduate students and those with a background in mathematics.
- Q: How do I use this book for my studies? A: You can use this book as a reference for advanced topics in combinatorial mathematics. It includes theoretical explanations and applications useful for research and studies.
- Q: Are there exercises in this book? A: Yes, there are exercises and examples included. These are designed to reinforce the concepts presented in each chapter.
- Q: How should I care for this hardcover book? A: To care for this book, keep it in a dry place and avoid exposure to direct sunlight. Use a soft cloth to clean the cover if necessary.
- Q: Is this book safe for young readers? A: No, this book is not recommended for young readers. It is intended for a graduate-level audience with a strong background in mathematics.
- Q: What if my book arrives damaged? A: If your book arrives damaged, you should contact the seller for a return or exchange. Be sure to keep the original packaging for the return process.
- Q: Can I return this book if I don't find it useful? A: Yes, you can return the book if it does not meet your expectations. Check the return policy of the retailer from whom you purchased it.
- Q: What unique topics are covered in the second edition? A: The second edition includes enhanced coverage of the hook formula and new applications like Stanley's theory of differential posets. It also addresses feedback from the first edition.
- Q: Is there an index or glossary in the book? A: Yes, the book includes an index to help locate specific topics easily. A glossary may also be provided for key terms.
- Q: Does this book cover practical applications of the concepts? A: Yes, the book discusses practical applications of combinatorial algorithms and representations in various mathematical contexts.
- Q: Who published this book? A: This book is published by Springer, known for its scholarly publications in various scientific fields.