Difference Equations: From Rabbits to Chaos (Undergraduate Texts in Mathematics) - Softcover

Buch 28 von 170: Undergraduate Texts in Mathematics

Cull, Paul

 
9780387232348: Difference Equations: From Rabbits to Chaos (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 0387232346 ISBN 13: 9780387232348
Verlag: Springer, 2005

Inhaltsangabe

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.

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Von der hinteren Coverseite

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.

 

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Verlag
Springer
Erscheinungsdatum
2005
Sprache
Englisch
ISBN 10 
0387232346
ISBN 13 
9780387232348
Einband
Taschenbuch
Anzahl der Seiten
412
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Weitere beliebte Ausgaben desselben Titels

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ISBN 10:  0387232338 ISBN 13:  9780387232331
Verlag: Springer, 2005
Hardcover