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Bücher Englische Bücher An Introduction to Catalan Numbers
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An Introduction to Catalan Numbers
Steven Roman (Gebundene Ausgabe, Englisch)
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Beschreibung
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 Z n+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 Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
24.11.2015
Sprache
Englisch
EAN
9783319221434
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Compact Textbooks in Mathematics
Sonderedition
Nein
Autor
Steven Roman
Seitenanzahl
121
Einbandart
Gebundene Ausgabe
Autorenporträt
Steven Roman is Professor Emeritus of Mathematics at California State University Fullerton. He is the author of numerous other mathematics textbooks, including Field Theory (2006), Advanced Linear Algebra(2008), Fundamentals of Group Theory (2012), Introduction to the Mathematics of Finance (2012), and An Introduction to Catalan Numbers (2015).
Schlagwörter
Algebraic Widgits, Catalan numbers, Combinatorics, Dyck Words, Geometric Widgits, Interval Structures, Permutations, Semiorders
Thema-Inhalt
PBD - Diskrete Mathematik
PBV - Kombinatorik und Graphentheorie
PBK - Mathematische Analysis, allgemein
UYA - Theoretische Informatik
UYAM - Mathematik für Informatiker
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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