Pell and Pell¿Lucas Numbers with Applications

Thomas Koshy

ISBN 10: 146148488X / ISBN 13: 9781461484882

Verlag: Springer New York, Springer US, 2014

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - Pell and Pell-Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical world with their beauty and applicability. They offeropportunities for experimentation, exploration, conjecture, and problem-solving techniques, connecting the fields of analysis, geometry, trigonometry, andvarious areas of discrete mathematics,number theory, graph theory, linear algebra, and combinatorics. Pell and Pell-Lucas numbers belong to an extended Fibonacci family as a powerful tool for extracting numerous interesting properties of a vast array of number sequences.Akey feature of this work is the historical flavor that is interwoven into the extensive and in-depth coverage of the subject.An interesting array of applications to combinatorics, graph theory, geometry, and intriguing mathematical puzzles is another highlight engaging the reader. The exposition is user-friendly, yet rigorous, so that a broad audience consisting of students, math teachers and instructors, computer scientists and other professionals, along with the mathematically curious will all benefit from this book.Finally, Pell and Pell-Lucas Numbers provides enjoyment and excitement while sharpening the reader's mathematical skills involving pattern recognition, proof-and-problem-solving techniques.

Bestandsnummer des Verkäufers 9781461484882

Bibliografische Details

• Titel: Pell and Pell¿Lucas Numbers with Applications
• Verlag: Springer New York, Springer US
• Erscheinungsjahr: 2014
• Sprache: Englisch
• ISBN-10: 146148488X
• ISBN-13: 9781461484882
• Einband: Buch
• Zustand: Neu
• Abmessungen: 285B x 215 H x 30 T Millimeter Breite: 285 mm, Höhe: 215 mm, Tiefe: 30 mm
• Gewicht: 1357 Gramm

Über diesen Titel

Inhaltsangabe

Pell and Pell–Lucas numbers, like the well-known Fibonacci and Catalan numbers, continue to intrigue the mathematical world with their beauty and applicability. They offer opportunities for experimentation, exploration, conjecture, and problem-solving techniques, connecting the fields of analysis, geometry, trigonometry, and various areas of discrete mathematics, number theory, graph theory, linear algebra, and combinatorics. Pell and Pell–Lucas numbers belong to an extended Fibonacci family as a powerful tool for extracting numerous interesting properties of a vast array of number sequences.

A key feature of this work is the historical flavor that is interwoven into the extensive and in-depth coverage of the subject. An interesting array of applications to combinatorics, graph theory, geometry, and intriguing mathematical puzzles is another highlight engaging the reader. The exposition is user-friendly, yet rigorous, so that a broad audience consisting of students, math teachers and instructors, computer scientists and other professionals, along with the mathematically curious will all benefit from this book.

Finally, Pell and Pell–Lucas Numbers provides enjoyment and excitement while sharpening  the reader’s mathematical skills involving pattern recognition, proof-and-problem-solving techniques.​

Über die Autorin bzw. den Autor

Thomas Koshy is Professor Emeritus of Mathematics at Framingham State University in Framingham, Massachusetts. In 2007, he received the Faculty of the Year Award and his publication Fibonacci and Lucas numbers with Applications won the Association of American Publishers' new book award in 2001. Professor Koshy has also authored numerous articles on a wide spectrum of topics and more than  seven books, among them,  Elementary Number Theory with Applications, second edition; Catalan Numbers with Applications;  Triangular Arrays with Applications; and Discrete Mathematics with Applications.