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Difference equations : theory and applications /
In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The sec...
| Clasificación: | QA431 M4.26 1990 |
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| Autor principal: | |
| Formato: | Libro |
| Idioma: | Inglés |
| Publicado: |
New York :
Van Nostrand Reinhold,
[1990].
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| Edición: | 2nd ed. |
| Temas: |
| Sumario: | In recent years, the study of difference equations has acquired a new significance, due in large part to their use in the formulation and analysis of discrete-time systems, the numerical integration of differential equations by finite-difference schemes, and the study of deterministic chaos. The second edition of Difference Equations: Theory and Applications provides a thorough listing of all major theorems along with proofs. The text treats the case of first-order difference equations in detail, using both analytical and geometrical methods. Both ordinary and partial difference equations are considered, along with a variety of special nonlinear forms for which exact solutions can be determined. Numerous worked examples and problems allow readers to fully understand the material in the text. They also give possible generalization of the theorems and application models. The text's expanded coverage of application helps readers appreciate the benefits of using difference equations in the modeling and analysis of "realistic" problems from a broad range of fields. The second edition presents, analyzes, and discusses a large number of applications from the mathematical, biological, physical, and social sciences. Discussions on perturbation methods and difference equation models of differential equation models of differential equations represent contributions by the author to the research literature. |
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| Descripción Física: | xi, 448 páginas : ilustraciones ; 24 cm. |
| Bibliografía: | Incluye referencias bibliográficas : (páginas 441-442) e índice. |
| ISBN: | 0442001363 9780442001360 |