This textbook on periodic character and patterns of recursive sequences focuses on discrete periodic patterns of first order, second order and higher order difference equations. Aimed toward advanced undergraduate students and graduate students who have taken a basic course in Calculus I and Discrete Mathematics, this book serves as a core text for a course in Difference Equations and Discrete Dynamical Systems. The text contains over 200 exercises to provide readers with a hands-on experi...

This book will reveal the essence of creative digital thinking and its significance in the new horizon of creative learning styles in the Education 1.0–7.0 Spectrum. This book asks and answers current pertinent questions such as: What new windows of opportunity does the 21st century / post- COVID New Creative Learning landscape present in online, hybrid, and blended learning environments? How can the reader design and expand the creative diversity spectrum digitally and technically? To obt...

The book's primary objectives are to welcome you to the abundant and meaningful international and multidisciplinary education discovery journey. You will grow from exposure to other cultures and their practices and I daresay, become better teachers in your local as well as on-line environments. Most every local classroom is multi-cultural as well. The students have different backgrounds and different ways of internalizing information meaningfully.The book will provide practical exa...

'Radlin has done a nice job in producing a textbook which provides a learner friendly introduction to difference equations. It would suit as a core text for a first year course in the topic, aimed, as the title suggests, at physical science or engineering undergraduates. The student who is prepared to work through the book will get a good grounding in basic techniques and gain a feel for the possible behaviours of standard equations. He will also be given some indication of the usefulness ...

This comprehensive book intricately weaves together the disciplines of systems thinking, management, educational leadership, complexity science, and diversity. Unique in its approach, it bridges theoretical concepts with real-world applications providing educators, managers, and leaders with practical tools and strategies for implementing systems thinking in diverse educational and managerial contexts. This book is particularly valuable for those interested in emergent learning, future pla...

• Shares groundbreaking research on telepathy, precognition, and other anomalous abilities of consciousness• Explores the philosophy of neutral monism and the interconnected nature of consciousness and physical reality• Demonstrates how focused intention and consciousness can shape the futureExploring the growing overlap between neuroscience and psi research, cognitive neuroscientist Richard Silberstein provides an overview of experimental evidence that challenges t...

Introduction to Math Olympiad Problems aims to introduce high school students to all the necessary topics that frequently emerge in international Math Olympiad competitions. In addition to introducing the topics, the book will also provide several repetitive-type guided problems to help develop vital techniques in solving problems correctly and efficiently. The techniques employed in the book will help prepare students for the topics they will typically face in an Olympiad...

This book invites educators, administrators, and learners to engage with the evolving landscape of digitalization, artificial intelligence (AI), and sustainable education through a blend of discussions, practical exercises, examples, and reflective inquiry. It aims to expand technical comfort zones by encouraging the integration of digital tools into teaching practices, highlighting the essential roles that digitalization and AI play in achieving educational sustainability. Drawing from in...

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...

This book first presents the evolution of education, from traditional face-to-face to the current remote and online education and its various iterations. The author shares experiences and insights on the most effective teaching techniques in both environments, some recent approaches, and highlights where there is need for continued improvement. Educators are provided with practical suggestions and examples to aid them in the design, promotion, and teaching of online courses worldwide....

The book's objectives are to expose students to analyzing and formulating various patterns such as linear, quadratic, geometric, piecewise, alternating, summation-type, product-type, recursive and periodic patterns. The book will present various patterns graphically and analytically and show the connections between them. Graphical presentations include patterns at same scale, patterns at diminishing scale and alternating patterns.The book's goals are to train and expand students' a...

This book's primary aims is to welcome you to discover the characteristics of the international and multidisciplinary online education in Ukraine. It objective is to present the development of online teaching and learning environment in Ukraine. In particular, this book emphasizes how the online teaching and learning environment expanded during COVID-19 in 2020–2021 and has also become an essential learning environment during the ongoing Russia–Ukraine War.Many new teaching strateg...