The Riordan Group and Applications (eBook)

eBook Download: PDF
2022 | 1st ed. 2022
XXII, 362 Seiten
Springer International Publishing (Verlag)
978-3-030-94151-2 (ISBN)

Lese- und Medienproben

The Riordan Group and Applications - Louis Shapiro, Renzo Sprugnoli, Paul Barry, Gi-Sang Cheon, Tian-Xiao He, Donatella Merlini, Weiping Wang
Systemvoraussetzungen
128,39 inkl. MwSt
  • Download sofort lieferbar
  • Zahlungsarten anzeigen
The ever-growing applications and richness of approaches to the Riordan group is captured in this comprehensive monograph, authored by those who are among the founders and foremost world experts in this field.  The concept of a Riordan array has played a unifying role in enumerative combinatorics over the last three decades. The Riordan arrays and Riordan group is a new growth point in mathematics that is both being influenced by, and continuing its contributions to, other fields such as Lie groups, elliptic curves, orthogonal polynomials, spline functions, networks, sequences and series, Beal conjecture, Riemann hypothesis, to name several. In recent years the Riordan group has made links to quantum field theory and has become a useful tool for computer science and computational chemistry. We can look forward to discovering further applications to unexpected areas of research. Providing a baseline and springboard to further developments and study, this book may also serve as a text for anyone interested in discrete mathematics, including combinatorics, number theory, matrix theory, graph theory, and algebra.



Louis Shapiro is a Professor Emeritus at Howard University. He has taught at Howard for 56 years with research interests in enumerative combinatorics, finite groups, and of course the Riordan group. He is also an avid runner and square dance caller.

Renzo Sprugnoli is a mathematician and computer scientist working in the fields of analysis of algorithms and combinatorics. Of particular note his works on the computation of combinatorial sums and the enumeration of lattice paths through Riordan arrays and the special sequences arising in this context. As a full professor, he has taught classes on algorithms, data structures and databases at the University of Florence.

Paul Barry is Emeritus professor of mathematics at Waterford Institute of Technology, Ireland.  He carries out research into integer sequences and Riordan arrays. He is the author of the book Riordan Arrays: A Primer.

Gi-Sang Cheon is a mathematician working in the field of combinatorial matrix theory. He is a professor at the Department of Mathematics of Sungkyunkwan University in South Korea.

Tian-Xiao He is a professor of mathematics and the Earl and Marian A. Beling Professor of Natural Science at Illinois Wesleyan University. His research fields include enumerative combinatorics, Riordan group, numerical analysis, approximate theory, wavelet analysis, and number theory. 

Donatella Merlini is a computer scientist working in the fields of analysis of algorithms, enumerative combinatorics, symbolic computation and data mining, subjects she  teaches at the University of Florence. Since her PhD thesis, she has studied both the theoretical aspects of Riordan arrays and the applications in the context of algorithms and data structures analysis.

Weiping Wang is an associate professor of School of Science at Zhejiang Sci-Tech University, China. His research fields include enumerative combinatorics, combinatorial algorithms, and special functions. His research topics are related to combinatorial sequences, combinatorial summations, and multiple zeta values.


Erscheint lt. Verlag 28.4.2022
Reihe/Serie Springer Monographs in Mathematics
Springer Monographs in Mathematics
Zusatzinfo XXII, 362 p. 19 illus., 6 illus. in color.
Sprache englisch
Themenwelt Mathematik / Informatik Mathematik
Schlagworte Banach fixed point approach • Bell subgroups • Henkel transform • Lagrange inversion formula • Lagrange subgroups
ISBN-10 3-030-94151-5 / 3030941515
ISBN-13 978-3-030-94151-2 / 9783030941512
Haben Sie eine Frage zum Produkt?
PDFPDF (Wasserzeichen)
Größe: 3,9 MB

DRM: Digitales Wasserzeichen
Dieses eBook enthält ein digitales Wasser­zeichen und ist damit für Sie persona­lisiert. Bei einer missbräuch­lichen Weiter­gabe des eBooks an Dritte ist eine Rück­ver­folgung an die Quelle möglich.

Dateiformat: PDF (Portable Document Format)
Mit einem festen Seiten­layout eignet sich die PDF besonders für Fach­bücher mit Spalten, Tabellen und Abbild­ungen. Eine PDF kann auf fast allen Geräten ange­zeigt werden, ist aber für kleine Displays (Smart­phone, eReader) nur einge­schränkt geeignet.

Systemvoraussetzungen:
PC/Mac: Mit einem PC oder Mac können Sie dieses eBook lesen. Sie benötigen dafür einen PDF-Viewer - z.B. den Adobe Reader oder Adobe Digital Editions.
eReader: Dieses eBook kann mit (fast) allen eBook-Readern gelesen werden. Mit dem amazon-Kindle ist es aber nicht kompatibel.
Smartphone/Tablet: Egal ob Apple oder Android, dieses eBook können Sie lesen. Sie benötigen dafür einen PDF-Viewer - z.B. die kostenlose Adobe Digital Editions-App.

Buying eBooks from abroad
For tax law reasons we can sell eBooks just within Germany and Switzerland. Regrettably we cannot fulfill eBook-orders from other countries.

Mehr entdecken
aus dem Bereich
Ein Übungsbuch für Fachhochschulen

von Michael Knorrenschild

eBook Download (2023)
Carl Hanser Verlag GmbH & Co. KG
16,99
Grundlagen - Methoden - Anwendungen

von André Krischke; Helge Röpcke

eBook Download (2024)
Carl Hanser Verlag GmbH & Co. KG
34,99