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Difference Equations ISBN 13: 9780442260767

Difference Equations - Hardcover

 
9780442260767: Difference Equations

Synopsis

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. Reference to original literature show how the elementary models of the book can be extended to more realistic situations.

Difference Equations, Second Edition gives readers a background in discrete mathematics that many workers in science-oriented industries need as part of their general scientific knowledge. With its minimal mathematical background requirements of general algebra and calculus, this unique volume will be used extensively by students and professional in science and technology, in areas such as applied mathematics, control theory, population science, economics, and electronic circuits, especially discrete signal processing.

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  • ISBN 10 0442260768
  • ISBN 13 9780442260767
  • BindingHardcover
  • LanguageEnglish

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9780442001360: Difference Equations, Second Edition: Theory and Applications

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ISBN 10:  0442001363 ISBN 13:  9780442001360
Publisher: Chapman and Hall/CRC, 1991
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Mickens, Ronald
Published by Van Nostrand Reinhold, 1987
ISBN 10: 0442260768 ISBN 13: 9780442260767
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Mickens, Ronald E
Published by Van Nostrand Reinhold, 1987
ISBN 10: 0442260768 ISBN 13: 9780442260767
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Mickens, Ronald E.
Published by Van Nostrand Reinhold Company, 1987
ISBN 10: 0442260768 ISBN 13: 9780442260767
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