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The book is an introduction, for both graduate students and newcomers to the field of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory. As these are applied for the exploration and characterization of complex systems. Our self-consistent review provides the necessary basis for consistency. We discuss a number of applications such diverse as urban structures and musical compositions. Contents: Perplexity of ComplexityPreliminaries: Permutations, Partitions, Probabilities and InformationTheory of Extreme EventsStatistical Basis of Inequality and Discounting the Future and InequalityElements of Graph Theory. Adjacency, Walks, and EntropiesExploring Graph Structures by Random WalksWe Shape Our Buildings: Thereafter They Shape UsComplexity of Musical Harmony Readership: Graduate student in information theory, complex systems and mathematical modeling. Keywords: Complex Systems and Processes;Extreme Events;Discounting the Future and Inequality;Urban Environments;Complexity of Musical HarmonyReview: Key Features: The book provides the unique treatment of the modern theory of mesoscopic complex systems, time series, hypergraphs and graphs, scaled random walks, and modern information theory as applied for exploration and characterization of complex systemsThe book shows how the concepts of complexity theory is applicable to the problem fo survival, urban studies, income inequality, musical harmonyThe book might be used as recommended reading for a course
Our innovative spirit and creativity lies beneath the comforts and security of today's technologically evolved society. Scientists, inventors, investors, artists and leaders play a vital role in the advancement and transmission of knowledge. Mathematics, in particular, plays a central role in numerous professions and has historically served as the gatekeeper to numerous other areas of study, particularly the hard sciences, engineering and business. Mathematics is also a major component in standardized tests in the U.S., and in university entrance exams in numerous parts of world. Creativity and imagination is often evident when young children begin to develop numeric and spatial concepts, and explore mathematical tasks that capture their interest. Creativity is also an essential ingredient in the work of professional mathematicians. Yet, the bulk of mathematical thinking encouraged in the institutionalized setting of schools is focused on rote learning, memorization, and the mastery of numerous skills to solve specific problems prescribed by the curricula or aimed at standardized testing. Given the lack of research based perspectives on talent development in mathematics education, this monograph is specifically focused on contributions towards the constructs of creativity and giftedness in mathematics. This monograph presents new perspectives for talent development in the mathematics classroom and gives insights into the psychology of creativity and giftedness. The book is aimed at classroom teachers, coordinators of gifted programs, math contest coaches, graduate students and researchers interested in creativity, giftedness, and talent development in mathematics.
Oxford Handbooks offer authoritative and up-to-date reviews of original research in a particular subject area. Specially commissioned chapters from leading figures in the discipline give critical examinations of the progress and direction of debates, as well as a foundation for future research. Oxford Handbooks provide scholars and graduate students with compelling new perspectives upon a wide range of subjects in the humanities, social sciences, and sciences. The adage Those who do not learn from history are doomed to repeat it is a powerful one for parents, teachers, and other professionals involved with or interested in deaf individuals or the Deaf community. Myths grown from ignorance have long dogged the field, and faulty assumptions and overgeneralizations have persisted despite contrary evidence. A study of the history of deaf education reveals patterns that have affected educational policy and legislation for deaf people around the world; these patterns are related to several themes critical to the chapters of this volume. One such theme is the importance of parental involvement in raising and educating deaf children. Another relates to how Deaf people have taken an increasingly greater role in influencing their own futures and places in society. In published histories, we see the longstanding conflicts through the centuries that pertain to sign language and spoken communication philosophies, as well as the contributions of the individuals who advocated alternative strategies for teaching deaf children. More recently, investigators have recognized the need for a diverse approach to language and language learning. Advances in technology, cognitive science, linguistics, and the social sciences have alternately led and followed changes in theory and practice, resulting in a changing landscape for deaf and hard-of-hearing individuals and those connected to them. This second volume of the The Oxford Handbook of Deaf Studies, Language, and Education (2003) picks up where that first landmark volume left off, describing those advances and offering readers the opportunity to understand the current status of research in the field while recognizing the opportunities and challenges that lie ahead. In Volume 2, an international group of contributing experts provide state-of-the-art summaries intended for students, practitioners, and researchers. Not only does it describe where we are, it helps to chart courses for the future.

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