عنوان

Fibonacci and Catalan numbers :

(Number (ISBN

0470631570

(Number (ISBN

9780470631577

Number

dltt

Title Proper

Fibonacci and Catalan numbers :

General Material Designation

[Book]

Other Title Information

an introduction /

First Statement of Responsibility

Ralph P. Grimaldi.

Place of Publication, Distribution, etc.

Hoboken, N.J. :

Name of Publisher, Distributor, etc.

John Wiley & Sons,

Date of Publication, Distribution, etc.

c2012.

Specific Material Designation and Extent of Item

xiv, 366 p. :

Other Physical Details

ill. ;

Dimensions

24 cm.

Text of Note

Includes bibliographical references and index.

Text of Note

"In this one-of-a-kind book, Ralph Grimaldi uses his extensive experience from the classroom and as a leader of mini-courses to present an accessible, single resource on the topics of Fibonacci Numbers and Catalan Numbers. The book first embarks on a complete treatment of Fibonacci numbers. Starting with a historical background on the topic, the author goes on to present the properties of Fibonacci numbers, a slew of introductory-level examples, and in-depth discussion of related topics including compositions and palindromes; tiling and Fibonacci numbers; solving linear recurrence relations; graph theory; Lucas numbers; and alternate Fibonacci numbers. The second half of the book explores Catalan numbers, and the author builds a complete foundation to the topic using a historical background and introductory examples, along with coverage of partial orders, total orders, topological sorting, graph theory, rooted ordered binary trees, pattern avoidance, and the Narayana numbers. Coverage of both topics are accompanied by interesting, real-world examples from areas such as sports, botany, and computer science. Each section concludes with detailed exercise sets that can also serve as extended examples of the presented material along with selected solutions. An Instructor's Manual featuring complete solutions is available upon written request, and extensive reference sections outline resources for further study of the discussed topics"--

Catalan numbers (Mathematics)

Combinatorial analysis.

Fibonacci numbers.

Recurrent sequences (Mathematics)

Number

Edition

Class number

Book number

Grimaldi, Ralph P.

Date of Transaction

20120320013938.0

Electronic name

[Book]

Y