Combinatorics: The Art of Counting
Seiten
2021
American Mathematical Society (Verlag)
978-1-4704-6032-7 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6032-7 (ISBN)
Offers a gentle introduction to the enumerative part of combinatorics. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set.
This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance.
The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance.
The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Bruce E. Sagan, Michigan State University, East Lansing, MI
Basic counting
Counting with signs
Counting with ordinary generating functions
Counting with exponential generating functions
Counting with partially ordered sets
Counting with group actions
Counting with symmetric functions
Counting with quasisymmetric functions
Introduction to representation theory
Bibliography
Index.
Erscheinungsdatum | 15.01.2021 |
---|---|
Reihe/Serie | Graduate Studies in Mathematics |
Verlagsort | Providence |
Sprache | englisch |
Maße | 178 x 254 mm |
Gewicht | 583 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
ISBN-10 | 1-4704-6032-7 / 1470460327 |
ISBN-13 | 978-1-4704-6032-7 / 9781470460327 |
Zustand | Neuware |
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