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Periodic Character and Patterns of Recursive Sequences
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 experience working with the material; the exercises include computations of specific examples and proofs of general results. Readers will receive a first-hand introduction to patterns of periodic cycles and patterns of transient terms with exercises for most sections of the text, preparing them for significant research work in the area.
The Australian People
Australia is one of the most ethnically diverse societies in the world today. From its ancient indigenous origins to British colonisation followed by waves of European then international migration in the twentieth century, the island continent is home to people from all over the globe. Each new wave of settlers has had a profound impact on Australian society and culture. The Australian People documents the dramatic history of Australian settlement and describes the rich ethnic and cultural inheritance of the nation through the contributions of its people. It is one of the largest reference works of its kind, with approximately 250 expert contributors and almost one million words. Illustrated in colour and black and white, the book is both a comprehensive encyclopedia and a survey of the controversial debates about citizenship and multiculturalism now that Australia has attained the centenary of its federation.
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 Features Can provide possible topics for undergraduate research and for bachelor’s thesis Provides supplementary practice problems and some open-ended research problems at the end of each chapter Focusses on determining the patterns of periodic and eventually periodic solutions inductively Enhances students’ algebra skills before moving forward to upper level courses Familiarize students with the topics before they start undergraduate research by providing applications.
Introduction to Recognition and Deciphering of Patterns
Introduction to Recognition and Deciphering of Patterns is meant to acquaint STEM and non-STEM students with different patterns, as well as to where and when specific patterns arise. In addition, the book teaches students how to recognize patterns and distinguish the similarities and differences between them. Patterns, such as weather patterns, traffic patterns, behavioral patterns, geometric patterns, linguistic patterns, structural patterns, digital patterns, and the like, emerge on an everyday basis, . Recognizing patterns and studying their unique traits are essential for the development and enhancement of our intuitive skills and for strengthening our analytical skills. Mathematicians o...
Congressional Record
The Congressional Record is the official record of the proceedings and debates of the United States Congress. It is published daily when Congress is in session. The Congressional Record began publication in 1873. Debates for sessions prior to 1873 are recorded in The Debates and Proceedings in the Congress of the United States (1789-1824), the Register of Debates in Congress (1824-1837), and the Congressional Globe (1833-1873)
Introduction to Math Olympiad Problems
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-style event, but also for future college mathematics courses in Discrete Mathematics, Graph Theory, Differential Equations, Number Theory and Abstract Algebra. Features: Numerous problems designed to embed good practice in readers, and build underlying reasoning, analysis and problem-solving skills Suitable for advanced high school students preparing for Math Olympiad competitions
The Macedonian Conflict
Greeks and Macedonians today are engaged in a heated dispute over claims to a single identity. Anthropologist and author Loring Danforth examines the Macedonian conflict in light of contemporary theoretical work on ethnic cultural identity and the role of the state in building a nation. The conflict is set in the broader context of Balkan history and in the more narrow context of the recent disintegration of Yugoslavia.
Legacies of Ancient Greece in Contemporary Perspectives
'Legacies of Ancient Greece in Contemporary Perspectives' provides readers with opportunities to reconnect with the origins of thought in an astonishingly wide variety of areas: politics, economics, art, spirituality, gender relations, medicine, literature, philosophy, music, and so on. As the chapters in the book show, Classical Greek thought still informs much of contemporary culture. There are countless books and articles that deal with ancient Greece historically, and a similar number that focus on Greece as a contemporary travel destination. There is both a lot of interest in Greece as a place now, and in Greece’s history and culture, which formed the early origins of much of Western ...
