Difference Equations for Scientists and Engineering

We introduce interdisciplinary research and get students and the audience familiarized with the difference equations; solving them explicitly, determining the long-term behavior of solutions (convergence, boundedness and periodicity). We help to develop intuition in analyzing convergence of solutions in terms of subsequences and analyzing patterns of periodic cycles. Our book helps you learn applications in biology, economics and business, computer science and engineering.
Contents: IntroductionFirst Order Linear Difference EquationsFirst Order Nonlinear Difference EquationsSecond Order Linear Difference EquationsSecond Order Nonlinear Difference EquationsAdvanced Characteristics and New Research QuestionsAnswers to Selected Odd-Numbered Problems
Readership: Students and researchers in mathematics, physics, science and engineering.Equilibrium Points;Periodic Cycles;Linearized Stability Analysis;Eventually Periodic Solutions;Transient Terms;Non-Autonomous Difference Equations;Convergence;Unbounded Solutions;Even-Ordered Periodic Cycles;Odd-Ordered Periodic Cycles;Unique Periodic Cycles;Delays;Piece-Wise Difference Equations;Max-Type Difference Equations;Rational Difference Equations0Key Features:Provides Repetitive types of examples that allows to absorb the material graduallyProvides Graphical representation of convergence and periodicity and provides graphical intuition and analysis about convergence and periodic traitsProvides Analytical representation of convergence and periodicity and provides analytical intuition and analysis about convergence and periodic traits