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Written in a clear, logical and concise manner, this comprehensive resource provides discussion on essential mathematical tools, required for upgraded system performance. Understanding of basic principles and governing laws is essential to reduce complexity of the system, and this guide offers detailed discussion on analytical and numerical techniques to solve mathematical model equations. Important concepts including nonlinear algebraic equations, initial value ordinary differential equations (ODEs) and boundary value ODEs are discussed in detail. The concepts of optimization methods and sensitivity analysis, which are important from subject point of view, are explained with suitable examples. Numerous problems and MATLAB (R)/Scilab exercises are interspersed throughout the text. Several case studies involving full details of simulation are offered for better understanding. The accompanying website will host additional MATLAB (R)/Scilab problems, model question papers, simulation exercises, tutorials and projects. This book will be useful for students of chemical engineering, mechanical engineering, instrumentation engineering and mathematics.
How do infants learn a language? Why and how do languages evolve? How do we understand a sentence? This book explores these questions using recent computational models that shed new light on issues related to language and cognition. The chapters in this collection propose original analyses of specific problems and develop computational models that have been tested and evaluated on real data. Featuring contributions from a diverse group of experts, this interdisciplinary book bridges the gap between natural language processing and cognitive sciences. It is divided into three sections, focusing respectively on models of neural and cognitive processing, data driven methods, and social issues in language evolution. This book will be useful to any researcher and advanced student interested in the analysis of the links between the brain and the language faculty.
The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes – with varying levels of mathematical sophistication – explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics.
A modern introduction to synchronization phenomena, this text presents recent discoveries and the current state of research in the field, from low-dimensional systems to complex networks. The book describes some of the main mechanisms of collective behaviour in dynamical systems, including simple coupled systems, chaotic systems, and systems of infinite-dimension. After introducing the reader to the basic concepts of nonlinear dynamics, the book explores the main synchronized states of coupled systems and describes the influence of noise and the occurrence of synchronous motion in multistable and spatially-extended systems. Finally, the authors discuss the underlying principles of collective dynamics on complex networks, providing an understanding of how networked systems are able to function as a whole in order to process information, perform coordinated tasks, and respond collectively to external perturbations. The demonstrations, numerous illustrations and application examples will help advanced graduate students and researchers gain an organic and complete understanding of the subject.
It is estimated that 1.5 million infants undergo surgery and anesthesia in the USA each year. However, there are serious concerns within the pediatric anesthesia community regarding the safety of anaesthesia in infants and children. There is mounting evidence from animal studies that anesthetics in common clinical use are neurotoxic to the developing brain and cause long-term neurobehavioral abnormalities. Essentials of Anesthesia for Infants and Neonates provides a comprehensive guide to the special needs of infants undergoing anesthesia. It focuses on the first year of life, the time when anesthesia mortality and morbidity is highest. Chapters are illustrated in color throughout, and include sections on newborn physiology for anesthetic management, specific procedures, pain management, and topics such as regional anesthesia and sedation. Written by nationally recognized experts, this book will become an invaluable point of reference for any physician interested in pain management in the first year of life.
Learn about an information-theoretic approach to managing interference in future generation wireless networks. Focusing on cooperative schemes motivated by Coordinated Multi-Point (CoMP) technology, the book develops a robust theoretical framework for interference management that uses recent advancements in backhaul design, and practical pre-coding schemes based on local cooperation, to deliver the increased speed and reliability promised by interference alignment. Gain insight into how simple, zero-forcing pre-coding schemes are optimal in locally connected interference networks, and discover how significant rate gains can be obtained by making cell association decisions and allocating backhaul resources based on centralized (cloud) processing and knowledge of network topology. Providing a link between information-theoretic analyses and interference management schemes that are easy to implement, this is an invaluable resource for researchers, graduate students and practicing engineers in wireless communications.
Thoroughly revised and updated for the second edition, this comprehensive textbook integrates basic and advanced concepts of mechanics with numerical methods and biomedical applications. Coverage is expanded to include a complete introduction to vector and tensor calculus, and new or fully updated chapters on biological materials and continuum mechanics, motion, deformation and rotation, and constitutive modelling of solids and fluids. Topics such as kinematics, equilibrium, and stresses and strains are also included, as well as the mechanical behaviour of fibres and the analysis of one-dimensional continuous elastic media. Numerical solution procedures based on the Finite Element Method are presented, with accompanying MATLAB-based software and dozens of new biomedical engineering examples and exercises allowing readers to practise and improve their skills. Solutions for instructors are also available online. This is the definitive guide for both undergraduate and graduate students taking courses in biomechanics.
The third edition of Radiogenic Isotope Geology examines revolutionary changes in geochemical thinking that have occurred over the past fifteen years. Extinct-nuclide studies on meteorites have called into question fundamental geochemical models of the Earth, while new dating methods have challenged conventional views of Earth history. At the same time, the problem of global warming has raised new questions about the causes of past and present climate change. In the new edition, these and other recent issues are evaluated in their scholarly and historical context, so readers can understand the development of current ideas. Controversial theories, new analytical techniques, classic papers, and illustrative case studies all come under scrutiny in this book, providing an accessible introduction for students and critical commentary for researchers.
The physics of emission, absorption and interaction of light in astrophysics and in laboratory plasmas is developed from first principles and applied across various fields, from quantum mechanics, electricity and magnetism, to statistical physics. This text links undergraduate level atomic and radiation physics with the advanced material required for postgraduate study and research.
This collection of expository articles by a range of established experts and newer researchers provides an overview of the recent developments in the theory of locally compact groups. It includes introductory articles on totally disconnected locally compact groups, profinite groups, p-adic Lie groups and the metric geometry of locally compact groups. Concrete examples, including groups acting on trees and Neretin groups, are discussed in detail. An outline of the emerging structure theory of locally compact groups beyond the connected case is presented through three complementary approaches: Willis’ theory of the scale function, global decompositions by means of subnormal series, and the local approach relying on the structure lattice. An introduction to lattices, invariant random subgroups and L2-invariants, and a brief account of the Burger-Mozes construction of simple lattices are also included. A final chapter collects various problems suggesting future research directions.
Mental Health: A person-centred approach adopts an all-encompassing approach to engaging with, responding to and supporting people with mental illness and substance abuse. This substantially updated second edition incorporates the latest mental health research, including a new chapter focusing on psychotropic medications, while retaining the strong narrative approach of the first edition. Readers are encouraged to connect theory, practice and the lived experiences of consumers and carers. The diverse range of consumer and carer perspectives enhances readers’ understanding of the process of recovery from mental illness, the use of mental health services and the provision of mental health support, by encouraging them to make human connections as they read. Written by an expert author team, Mental Health: A person-centred approach is an essential resource for students, supporting the development of safe, high-quality, person-centred care in both the Australian and New Zealand contexts.