Difference Equations: From Rabbits To Chaos (undergraduate Texts In Mathematics)
by Paul Cull /
2005 / English / PDF
4.1 MB Download
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.
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.
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.
