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Anotace knihy

Difference Equations and Applications provides unique coverage of high-level topics in the application of difference equations and dynamical systems. The textbook deliberately presents difficult material in an accessible manner by utilizing easier, friendlier notations and multiple examples. It includes contemporary topics on l_p stability, exponential stability, and the invention of new variation of parameters that can be used to qualitatively study solutions of non-linear difference equations. The book begins discussing calculus of normal and linear difference equations, including variation of parameters and equations with constant coefficients, before moving on to Z-Transform and it’s various functions, scalings, applications. It covers systems, Lyapunov Functions and stability, a subject rarely covered in competitor titles, before concluding with a comprehensive section on new variation of parameters. Exercises are provided after each section, ranging from easy to a medium level of difficulty, and when finished, students are set up to conduct meaningful research in discrete dynamical systems. Class-tested over multiple years with advanced undergraduate and graduate coursesPresents difficult material in an accessible manner by utilizing easier, friendlier notations, multiple examples, and thoughtful exercises of increasing difficultyRequires a minimal background in real analysis and differential equationsChapter dedicated to stability, a phenomenon not covered by competing titlesOffers a partial solutions manual for student study

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Difference Equations and Applications
• Autor: Youssef N. Raffoul
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 290
• EAN: 9780443314926
• ISBN: 0443314926
• ID: 45970235
• Rozměry: 229 × 152 mm
• Datum vydání: 01. January 2025

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