03487nam a22005055i 4500 978-0-387-27645-8 DE-He213 20260521091845.0 cr nn 008mamaa 100301s2005 xxu| s |||| 0|eng d 9780387276458 99780387276458 10.1007/0-387-27645-9 doi CICY 515.625 23 515.75 23 Cull, Paul. author. Difference Equations [recurso electrónico] : From Rabbits to Chaos / by Paul Cull, Mary Flahive, Robby Robson. New York, NY : Springer New York, 2005. XIII, 392 p. 16 illus. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Undergraduate Texts in Mathematics, 0172-6056 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 class-tested, 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 e-learning consulting firm. None has a rabbit. MATHEMATICS. MATRIX THEORY. FUNCTIONAL EQUATIONS. COMBINATORICS. MATHEMATICS. DIFFERENCE AND FUNCTIONAL EQUATIONS. COMBINATORICS. LINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY. Flahive, Mary. author. Robson, Robby. author. SpringerLink (Online service) Springer eBooks Printed edition: 9780387232331 Undergraduate Texts in Mathematics, 0172-6056 http://dx.doi.org/10.1007/0-387-27645-9 Ver el texto completo en las instalaciones del CICY ddc ER 32657 32657 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 515.625 | 515.75 2025-07-10 08:39:39 2025-07-10 ER