An introduction to Catalan numbers:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Basel]
Birkhäuser
[2015]
|
| Schriftenreihe: | Compact textbooks in mathematics
|
| Schlagworte: | |
| Online-Zugang: | DE-634 DE-861 DE-91 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online Ressource (XII, 121 Seiten, 44 illus) |
| ISBN: | 9783319221441 |
| ISSN: | 2296-4568 |
| DOI: | 10.1007/978-3-319-22144-1 |
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Datensatz im Suchindex
| _version_ | 1818428354483716096 |
|---|---|
| adam_text |
AN INTRODUCTION TO CATALAN NUMBERS
/ ROMAN, STEVEN
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
INTRODUCTION
DYCK WORDS
THE CATALAN NUMBERS
CATALAN NUMBERS AND PATHS
CATALAN NUMBERS AND TREES
CATALAN NUMBERS AND GEOMETRIC WIDGITS
CATALAN NUMBERS AND ALGEBRAIC WIDGITS
CATALAN NUMBERS AND INTERVAL STRUCTURES
CATALAN NUMBERS AND PARTITIONS
CATALAN NUMBERS AND PERMUTATIONS
CATALAN NUMBERS AND SEMIORDERS
EXERCISES
SOLUTIONS AND HINTS
APPENDIX A: A BRIEF INTRODUCTION TO PARTIALLY ORDERED SETS
APPENDIX B: A BRIEF INTRODUCTION TO GRAPHS AND TREES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
AN INTRODUCTION TO CATALAN NUMBERS
/ ROMAN, STEVEN
: 2015
ABSTRACT / INHALTSTEXT
THIS TEXTBOOK PROVIDES AN INTRODUCTION TO THE CATALAN NUMBERS AND THEIR
REMARKABLE PROPERTIES, ALONG WITH THEIR VARIOUS APPLICATIONS IN
COMBINATORICS. INTENDED TO BE ACCESSIBLE TO STUDENTS NEW TO THE
SUBJECT, THE BOOK BEGINS WITH MORE ELEMENTARY TOPICS BEFORE PROGRESSING
TO MORE MATHEMATICALLY SOPHISTICATED TOPICS. EACH CHAPTER FOCUSES ON A
SPECIFIC COMBINATORIAL OBJECT COUNTED BY THESE NUMBERS, INCLUDING PATHS,
TREES, TILINGS OF A STAIRCASE, NULL SUMS IN ZN+1, INTERVAL STRUCTURES,
PARTITIONS, PERMUTATIONS, SEMIORDERS, AND MORE. EXERCISES ARE INCLUDED
AT THE END OF BOOK, ALONG WITH HINTS AND SOLUTIONS, TO HELP STUDENTS
OBTAIN A BETTER GRASP OF THE MATERIAL. THE TEXT IS IDEAL FOR
UNDERGRADUATE STUDENTS STUDYING COMBINATORICS, BUT WILL ALSO APPEAL TO
ANYONE WITH A MATHEMATICAL BACKGROUND WHO HAS AN INTEREST IN LEARNING
ABOUT THE CATALAN NUMBERS. “ROMAN DOES AN ADMIRABLE JOB OF PROVIDING
AN INTRODUCTION TO CATALAN NUMBERS OF A DIFFERENT NATURE FROM THE
PREVIOUS ONES. HE HAS MADE AN EXCELLENT CHOICE OF TOPICS IN ORDER TO
CONVEY THE FLAVOR OF CATALAN COMBINATORICS. [READERS] WILL ACQUIRE A
GOOD FEELING FOR WHY SO MANY MATHEMATICIANS ARE ENTHRALLED BY THE
REMARKABLE UBIQUITY AND ELEGANCE OF CATALAN NUMBERS.” - FROM THE
FOREWORD BY RICHARD STANLEY
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. |
| any_adam_object | 1 |
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| dewey-ones | 511 - General principles of mathematics |
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| subject_GND | (DE-588)1072323532 |
| title | An introduction to Catalan numbers |
| title_auth | An introduction to Catalan numbers |
| title_exact_search | An introduction to Catalan numbers |
| title_full | An introduction to Catalan numbers Steven Roman |
| title_fullStr | An introduction to Catalan numbers Steven Roman |
| title_full_unstemmed | An introduction to Catalan numbers Steven Roman |
| title_short | An introduction to Catalan numbers |
| title_sort | an introduction to catalan numbers |
| topic | Mathematics Computer science / Mathematics Sequences (Mathematics) Computer mathematics Combinatorics Graph theory Graph Theory Sequences, Series, Summability Mathematical Applications in Computer Science Discrete Mathematics in Computer Science Informatik Mathematik Catalan-Zahlen (DE-588)1072323532 gnd |
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