Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions

The book "Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions" is for lower-level undergraduate students studying discrete mathematics. It focuses on sequences as recursive relations, transitions to periodic recursive patterns, and eventually periodic recursive patterns. It also emphasizes pattern recognition as a mathematical tool and provides supplementary practice problems and open-ended research problems.

Format: Paperback / softback
Length: 172 pages
Publication date: 29 April 2022
Publisher: Taylor & Francis Ltd

Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions is a comprehensive textbook designed specifically for lower-level undergraduate students pursuing a study in discrete mathematics. The book delves into the realm of sequences, initially exploring them as recursive relations and subsequently transitioning to periodic recursive patterns. Eventually, it encompasses the study of eventually periodic recursive patterns as well.

In addition to this foundational exploration, the book emphasizes the importance of recognizing patterns as a powerful mathematical tool. The author's primary objective throughout the text is to foster a deep understanding of the significance of pattern recognition within the realm of mathematics.

Key Features:

Comprehensive Coverage: The book offers a thorough and in-depth treatment of piece-wise and max-type difference equations, providing a solid foundation for students to build upon.

Potential Research Topics: It serves as a valuable resource for undergraduate students seeking potential topics for their research projects or bachelors theses.

Supplementary Practice Problems: Each chapter includes a comprehensive set of supplementary practice problems, designed to reinforce the concepts covered and enhance students' problem-solving skills.

Open-Ended Research Problems: At the end of each chapter, there are open-ended research problems, encouraging students to apply their knowledge and explore further mathematical concepts.

Inductive Approach to Patterns: The book emphasizes an inductive approach to determining the patterns of periodic and eventually periodic solutions. This approach helps students develop a strong grasp of mathematical reasoning and problem-solving techniques.

Enhances Algebra Skills: Before embarking on upper-level courses, the book aims to strengthen students' algebra skills, laying a solid foundation for future mathematical endeavors.

Familiarizes Students with Research Topics: By providing applications and real-world scenarios, the book familiarizes students with the topics before they embark on undergraduate research, enabling them to approach their studies with a deeper understanding.

In conclusion, Piece-wise and Max-Type Difference Equations: Periodic and Eventually Periodic Solutions is an essential textbook for lower-level undergraduate students interested in discrete mathematics. With its comprehensive coverage, practical exercises, and inductive approach to patterns, the book equips students with the necessary skills and knowledge to excel in their academic pursuits and pursue careers in mathematics or related fields.

Weight: 317g
Dimension: 234 x 156 (mm)
ISBN-13: 9780367551025