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A systematic study of chaotic ray dynamics in underwater acoustic waveguides began in the mid-1990s when it was realized that this factor plays a crucial role in long-range sound propagation in the ocean. The phenomenon of ray chaos and its manifestation at a finite wavelength ? wave chaos ? have been investigated by combining methods from the theory of wave propagation and the theory of dynamical and quantum chaos. This book is the first monograph summarizing results obtained in this field. Emphasis is made on the exploration of ray and modal structures of the wave field in an idealized environmental model with periodic range dependence and in a more realistic model with sound speed fluctuations induced by random internal waves. The book is intended for acousticians investigating the long-range sound transmission through the fluctuating ocean and also for researchers studying waveguide propagation in other media. It will be of major interest to scientists working in the field of dynamical and quantum chaos.
The main goal is to offer readers a panorama of recent progress in nonlinear physics, complexity and transport with attractive chapters readable by a broad audience. It allows readers to gain an insight into these active fields of research and notably promotes the interdisciplinary studies from mathematics to experimental physics. to reach this aim, the book collects a selection of contributions to the CCT11 conference (Marseille, 23 – 27 May 2011).
Deals with the study of irregular behavior in few-body systems, with emphasis on the aspects of atomic physics. Areas covered include the atom in a magnetic field, microwave ionization of Rydberg atoms, and quasi-Wigner crystals in ion traps. All but one of the papers first appeared in volume 25 of the journal Comments on atomic and molecular physics. No index. Annotation copyrighted by Book News, Inc., Portland, OR
Israel presents a panoramic display of fresh interpretations and new research findings related to Israel's first decade of independence. Those years of rapid change are widely regarded as a formative period in the development of the state and the society. As new archival materials have become available for scrutiny, a new generation of historians and social scientists has begun to re-examine old issues and to raise new questions. In this context of academic ferment, scholars in diverse disciplines, of different generations and of opposing ideological orientations, have collaborated in this book in examining the period anew. Thirty-two authoritative essays offer new understandings from the diverse perspectives of history, political science, sociology, literary criticism, geography, anthropology, and law. The intention is to provide a wide-ranging reconsideration of post-independence Israel that will serve as a benchmark for future study and research.
This book focuses on some important aspects of Physics Education: the role of metaphors in Physics teaching and learning, the connections between Physics and Mathematics, the interaction of young children with Physics at the primary level, and recent developments in teacher education in the USA. Contributors present their research related to: • Preparing teachers for TPACK (technological, pedagogical, and content knowledge) and laboratory work. • Developing and evaluating teacher PCK (pedagogical content knowledge) in Quantum Mechanics. • In-service Physics teacher education for early childhood and primary levels. • Pre-service Physics teacher education at all levels. • In-service ...
The book introduces readers to and summarizes the current ideas and theories about the basic mechanisms for transport in chaotic flows. Typically no single paradigmatic approach exists as this topic is relevant for fields as diverse as plasma physics, geophysical flows and various branches of engineering. Accordingly, the dispersion of matter in chaotic or turbulent flows is analyzed from different perspectives. Partly based on lecture courses given by the author, this book addresses both graduate students and researchers in search of a high-level but approachable and broad introduction to the topic.
An introduction, suitable for graduate students, showing connections to other areas of mathematics.
Although proving is core to mathematics as a sense-making activity, it currently has a marginal place in elementary classrooms internationally. Blending research with practical perspectives, this book addresses what it would take to elevate the place of proving at elementary school. The book uses classroom episodes from two countries to examine different kinds of proving tasks and the proving activity they can generate in the elementary classroom. It examines further the role of teachers in mediating the relationship between proving tasks and proving activity, including major mathematical and pedagogical issues that arise for teachers as they implement each kind of proving task. In addition to its contribution to research knowledge, the book has important implications for teaching, curricular resources, and teacher education.
This book presents current evidence of new perspectives for the prevention and appropriate management of depression in people across the life course. Special attention has been dedicated to facilitating factors for the development of health system capacity and the effectiveness of the different types of interventions. The first part of the book reviews the innovations in global prevention and non-pharmacological treatments for children, adolescents, and youths. The second part reviews interventions for adults across the lifespan, including older adults and caregivers. Despite the efforts to tackle depression, the COVID-19 pandemic directly or indirectly affected the mental health of the popu...
Depression is frequently associated with other psychiatric disorders and is often related to chronic health problems. Depressive symptoms are also common in chronically distressed close relationships and severe interpersonal difficulties in families and at work. The topic of depressive comorbidity is clearly very important, and while recent research in this area has been methodologically sophisticated, well presented, and inherently interesting, there has not been a comprehensive, academic resource that covers recent developments in this area. The Oxford Handbook of Depression and Comorbidity brings together scholarly contributions from world-class researchers to present a careful and empiri...