Piece-wise and Max-Type Difference Equations

Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions is intended for lower-level undergraduate students studying discrete mathematics. The book focuses on sequences as recursive relations and then transitions to periodic recursive patterns and eventually periodic recursive patterns. In addition to this, it will also focus on determining the patterns of periodic and eventually periodic solutions inductively. The aim of the author, throughout this book, is to get students to understand the significance of pattern recognition as a mathematical tool.Key FeaturesCan provide possible topics for undergraduate research and for bachelor's thesisProvides supplementary practice problems and some open-ended research problems at the end of each chapterFocusses on determining the patterns of periodic and eventually periodic solutions inductivelyEnhances students' algebra skills before moving forward to upper level coursesFamiliarize students with the topics before they start undergraduate research by providing applications.