| 000 | 03544nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-0-387-27645-8 | ||
| 003 | DE-He213 | ||
| 005 | 20161121230925.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2005 xxu| s |||| 0|eng d | ||
| 020 |
_a9780387276458 _9978-0-387-27645-8 |
||
| 024 | 7 |
_a10.1007/0-387-27645-9 _2doi |
|
| 050 | 4 | _aQA431 | |
| 072 | 7 |
_aPBKJ _2bicssc |
|
| 072 | 7 |
_aMAT034000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.625 _223 |
| 082 | 0 | 4 |
_a515.75 _223 |
| 100 | 1 |
_aCull, Paul. _eauthor. |
|
| 245 | 1 | 0 |
_aDifference Equations _h[electronic resource] : _bFrom Rabbits to Chaos / _cby Paul Cull, Mary Flahive, Robby Robson. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2005. |
|
| 300 |
_aXIII, 392 p. _bonline resource. |
||
| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
||
| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 347 |
_atext file _bPDF _2rda |
||
| 490 | 1 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
| 505 | 0 | _aFibonacci 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. | |
| 520 | _aDifference 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. . | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aMatrix theory. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 0 | _aDifference equations. | |
| 650 | 0 | _aFunctional equations. | |
| 650 | 0 | _aCombinatorics. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aDifference and Functional Equations. |
| 650 | 2 | 4 | _aCombinatorics. |
| 650 | 2 | 4 | _aLinear and Multilinear Algebras, Matrix Theory. |
| 700 | 1 |
_aFlahive, Mary. _eauthor. |
|
| 700 | 1 |
_aRobson, Robby. _eauthor. |
|
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9780387232331 |
| 830 | 0 |
_aUndergraduate Texts in Mathematics, _x0172-6056 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/0-387-27645-9 |
| 912 | _aZDB-2-SMA | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c505993 _d505993 |
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