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 Perrona "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.
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Undergraduate Texts in Mathematics |
| Release date: |
April 2005 |
| First published: |
2005 |
| Authors: |
Paul Cull
• Mary Flahive
• Robby Robson
|
| Dimensions: |
235 x 155 x 23mm (L x W x T) |
| Format: |
Hardcover
|
| Pages: |
392 |
| Edition: |
2005 ed. |
| ISBN-13: |
978-0-387-23233-1 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
| LSN: |
0-387-23233-8 |
| Barcode: |
9780387232331 |
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