Difference Equations [electronic resource] : From Rabbits to Chaos / by Paul Cull, Mary Flahive, Robby Robson.
By: Cull, Paul [author.].
Contributor(s): Flahive, Mary [author.]  Robson, Robby [author.]  SpringerLink (Online service).
Material type: TextSeries: Undergraduate Texts in Mathematics: Publisher: New York, NY : Springer New York, 2005Description: XIII, 392 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387276458.Subject(s): Functional equations  Combinatorics  Matrix theory  Difference and Functional Equations  Combinatorics  Linear and Multilinear Algebras, Matrix TheoryAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 515.625  515.75 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB989 
Fibonacci Numbers  Homogeneous Linear Recurrence Relations  Finite Difference Equations  Generating Functions  Nonnegative Difference Equations  Leslie’s Population Matrix Model  Matrix Difference Equations  Modular Recurrences  Computational Complexity  Some Nonlinear Recurrences.
Difference equations are models of the world around us. From clocks to computers to chromosomes, processing discrete objects in discrete steps is a common theme. Difference equations arise naturally from such discrete descriptions and allow us to pose and answer such questions as: How much? How many? How long? Difference equations are a necessary part of the mathematical repertoire of all modern scientists and engineers. In this new text, designed for sophomores studying mathematics and computer science, the authors cover the basics of difference equations and some of their applications in computing and in population biology. Each chapter leads to techniques that can be applied by hand to small examples or programmed for larger problems. Along the way, the reader will use linear algebra and graph theory, develop formal power series, solve combinatorial problems, visit Perron—Frobenius theory, discuss pseudorandom number generation and integer factorization, and apply the Fast Fourier Transform to multiply polynomials quickly. The book contains many worked examples and over 250 exercises. While these exercises are accessible to students and have been classtested, they also suggest further problems and possible research topics. Paul Cull is a professor of Computer Science at Oregon State University. Mary Flahive is a professor of Mathematics at Oregon State University. Robby Robson is president of Eduworks, an elearning consulting firm. None has a rabbit. .
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Difference equations by Cull Paul 
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