Counting with symmetric functions:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham
Springer
[2015]
|
| Series: | Developments in Mathematics
43 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (X, 292 Seiten, 209 illus) |
| ISBN: | 9783319236186 |
| ISSN: | 1389-2177 |
| DOI: | 10.1007/978-3-319-23618-6 |
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Record in the Search Index
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|---|---|
| adam_text | COUNTING WITH SYMMETRIC FUNCTIONS
/ MENDES, ANTHONY
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
PERMUTATIONS, PARTITIONS, AND POWER SERIES
SYMMETRIC FUNCTIONS
COUNTING WITH THE ELEMENTARY AND HOMOGENEOUS
COUNTING WITH A NONSTANDARD BASIS
COUNTING WITH RSK
COUNTING PROBLEMS THAT INVOLVE SYMMETRY
CONSECUTIVE PATTERNS
THE RECIPROCITY METHOD
APPENDIX: TRANSITION MATRICES
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
COUNTING WITH SYMMETRIC FUNCTIONS
/ MENDES, ANTHONY
: 2015
ABSTRACT / INHALTSTEXT
THIS MONOGRAPH PROVIDES A SELF-CONTAINED INTRODUCTION TO SYMMETRIC
FUNCTIONS AND THEIR USE IN ENUMERATIVE COMBINATORICS. IT IS THE FIRST
BOOK TO EXPLORE MANY OF THE METHODS AND RESULTS THAT THE AUTHORS
PRESENT. NUMEROUS EXERCISES ARE INCLUDED THROUGHOUT, ALONG WITH FULL
SOLUTIONS, TO ILLUSTRATE CONCEPTS AND ALSO HIGHLIGHT MANY INTERESTING
MATHEMATICAL IDEAS. THE TEXT BEGINS BY INTRODUCING FUNDAMENTAL
COMBINATORIAL OBJECTS SUCH AS PERMUTATIONS AND INTEGER PARTITIONS, AS
WELL AS GENERATING FUNCTIONS. SYMMETRIC FUNCTIONS ARE CONSIDERED IN
THE NEXT CHAPTER, WITH A UNIQUE EMPHASIS ON THE COMBINATORICS OF THE
TRANSITION MATRICES BETWEEN BASES OF SYMMETRIC FUNCTIONS. CHAPTER 3
USES THIS INTRODUCTORY MATERIAL TO DESCRIBE HOW TO FIND AN ASSORTMENT OF
GENERATING FUNCTIONS FOR PERMUTATION STATISTICS, AND THEN THESE
TECHNIQUES ARE EXTENDED TO FIND GENERATING FUNCTIONS FOR A VARIETY OF
OBJECTS IN CHAPTER 4. THE NEXT TWO CHAPTERS PRESENT THE
ROBINSON-SCHENSTED-KNUTH ALGORITHM AND A METHOD FOR PROVING POLYA’S
ENUMERATION THEOREM USING SYMMETRIC FUNCTIONS. CHAPTERS 7 AND 8 ARE
MORE SPECIALIZED THAN THE PRECEDING ONES, COVERING CONSECUTIVE PATTERN
MATCHES IN PERMUTATIONS, WORDS, CYCLES, AND ALTERNATING PERMUTATIONS AND
INTRODUCING THE RECIPROCITY METHOD AS A WAY TO DEFINE RING HOMOMORPHISMS
WITH DESIRABLE PROPERTIES. COUNTING WITH SYMMETRIC FUNCTIONS WILL APPEAL
TO GRADUATE STUDENTS AND RESEARCHERS IN MATHEMATICS OR RELATED SUBJECTS
WHO ARE INTERESTED IN COUNTING METHODS, GENERATING FUNCTIONS, OR
SYMMETRIC FUNCTIONS. THE UNIQUE APPROACH TAKEN AND RESULTS AND
EXERCISES EXPLORED BY THE AUTHORS MAKE IT AN IMPORTANT CONTRIBUTION TO
THE MATHEMATICAL LITERATURE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Mendes, Anthony Remmel, Jeffrey |
| author_GND | (DE-588)108380541X |
| author_facet | Mendes, Anthony Remmel, Jeffrey |
| author_role | aut aut |
| author_sort | Mendes, Anthony |
| author_variant | a m am j r jr |
| building | Verbundindex |
| bvnumber | BV043209620 |
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| dewey-full | 511.6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.6 |
| dewey-search | 511.6 |
| dewey-sort | 3511.6 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-319-23618-6 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:20:35Z |
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| isbn | 9783319236186 |
| issn | 1389-2177 |
| language | English |
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| spelling | Mendes, Anthony Verfasser aut Counting with symmetric functions Anthony Mendes, Jeffrey Remmel Cham Springer [2015] © 2015 1 Online Ressource (X, 292 Seiten, 209 illus) txt rdacontent c rdamedia cr rdacarrier Developments in mathematics volume 43 1389-2177 Mathematics Sequences (Mathematics) Special functions Combinatorics Special Functions Sequences, Series, Summability Mathematik Remmel, Jeffrey Verfasser (DE-588)108380541X aut Erscheint auch als Druckausgabe 978-3-319-23617-9 Developments in Mathematics 43 (DE-604)BV036889254 43 https://doi.org/10.1007/978-3-319-23618-6 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632781&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632781&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Mendes, Anthony Remmel, Jeffrey Counting with symmetric functions Developments in Mathematics Mathematics Sequences (Mathematics) Special functions Combinatorics Special Functions Sequences, Series, Summability Mathematik |
| title | Counting with symmetric functions |
| title_auth | Counting with symmetric functions |
| title_exact_search | Counting with symmetric functions |
| title_full | Counting with symmetric functions Anthony Mendes, Jeffrey Remmel |
| title_fullStr | Counting with symmetric functions Anthony Mendes, Jeffrey Remmel |
| title_full_unstemmed | Counting with symmetric functions Anthony Mendes, Jeffrey Remmel |
| title_short | Counting with symmetric functions |
| title_sort | counting with symmetric functions |
| topic | Mathematics Sequences (Mathematics) Special functions Combinatorics Special Functions Sequences, Series, Summability Mathematik |
| topic_facet | Mathematics Sequences (Mathematics) Special functions Combinatorics Special Functions Sequences, Series, Summability Mathematik |
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