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An Introduction to the Theory of Piezoelectricity (Advances in Mechanics and Mathematics #9)

This textbook introduces theoretical piezoelectricity. The second edition updates a classical, seminal reference on a fundamental topic that is addressed in every materials science curriculum. It presents a concise treatment of the basic theoretical aspects of continuum modeling of electroelastic interactions in solids. The general nonlinear theory for large deformations and strong fields is established and specialized to the linear theory for small deformations and weak fields, i.e., the theory of piezoelectricity. Relatively simple and useful solutions of many static and dynamic problems of piezoelectricity that are useful in device applications are given. Emphasis is on the formulation of solutions to problems rather than advanced mathematical solution techniques. This book includes many examples to assist and enhance students’ understanding of piezoelectricity and piezoelastics.

An Introduction to the Theory of Reproducing Kernel Hilbert Spaces

Reproducing kernel Hilbert spaces have developed into an important tool in many areas, especially statistics and machine learning, and they play a valuable role in complex analysis, probability, group representation theory, and the theory of integral operators. This unique text offers a unified overview of the topic, providing detailed examples of applications, as well as covering the fundamental underlying theory, including chapters on interpolation and approximation, Cholesky and Schur operations on kernels, and vector-valued spaces. Self-contained and accessibly written, with exercises at the end of each chapter, this unrivalled treatment of the topic serves as an ideal introduction for graduate students across mathematics, computer science, and engineering, as well as a useful reference for researchers working in functional analysis or its applications.

An Introduction to the Theory of Stellar Structure and Evolution

Using fundamental physics, the theory of stellar structure and evolution is able to predict how stars are born, how their complex internal structure changes, what nuclear fuel they burn, and what their ultimate fate is - a fading whitedwarf, or a cataclysmic explosion as a supernova, leaving behind a collapsed neutron star or black hole. This lucid textbook provides students with a clear and pedagogical introduction to the theory of stellar structure and evolution. It requires only basic physics and mathematics learnt in first- and second-year undergraduate studies, and assumes no prior knowledge of astronomy. The unique feature of this book is the emphasis throughout on the basic physical principles governing stellar evolution. Exercises and their full solutions are included to help students test their understanding. This textbook provides a stimulating introduction for undergraduates in astronomy, physics, planetary science and applied mathematics taking a course on the physics of stars.

An Introduction to the Theory of the Boltzmann Equation (Dover Books On Physics Series)

Boltzmann's equation (or Boltzmann-like equations) appears extensively in such disparate fields as laser scattering, solid-state physics, nuclear transport, and beyond the conventional boundaries of physics and engineering, in the fields of cellular proliferation and automobile traffic flow. This introductory graduate-level course for students of physics and engineering offers detailed presentations of the basic modern theory of Boltzmann’s equation, including representative applications using both Boltzmann’s equation and the model Boltzmann equations developed within the text. It emphasizes physical aspects of the theory, and it represents a practical resource for researchers and other professionals. The problems following each chapter are intended as learning examples, and they frequently extend and generalize the text material. Additional editorial features include a historical introduction, references, and subject and author indexes. 1971 edition.

An Introduction to the Therapeutic Frame: Routledge Mental Health Classic Editions (Routledge Mental Health Classic Editions)

Designed for psychotherapists and counsellors in training, An Introduction to the Therapeutic Frame clarifies the concept of the frame - the way of working set out in the first meeting between therapist and client. This Classic Edition of the book includes a brand new introduction by the author. Anne Gray, an experienced psychotherapist and teacher, uses lively and extensive case material to show how the frame can both contain feelings and further understanding within the therapeutic relationship. She takes the reader through each stage of therapeutic work, from the first meeting to the final contact, and looks at those aspects of management that beginners often find difficult, such as fee payment, letters and telephone calls, supervision and evaluation. Her practical advice on how to handle these situations will be invaluable to trainees as well as to those involved in their training.

An Introduction to the Therapeutic Relationship in Counselling and Psychotherapy

The therapeutic relationship is considered to be the most significant factor in achieving positive therapeutic change. As such, it is essential that trainee and practising therapists are able to facilitate a strong working alliance with each of their clients. This book will help them do just that, by offering a practical and evidence-based guide to all aspects of the therapeutic relationship in counselling and psychotherapy. Cross-modal in its approach, this book examines the issues impacting on the therapeutic relationship true to all models of practice. Content covered includes: - The history of the therapeutic relationship - The place of the therapeutic relationship in a range of therapy settings, including IAPT - Concepts and practical skills essential for establishing and maintaining a successful working alliance - The application of the therapeutic relationship to a variety of professional roles in health and social care - Practice issues including potential challenges to the therapeutic relationship, working with diversity and personal and professional development - Research and new developments Using examples, points for reflection and chapter aims and summaries to help consolidate learning, the authors break down the complex and often daunting topic of the therapeutic relationship, making this essential reading for trainee and practising therapists, as well as those working in a wider range of health, social care and helping relationships.

An Introduction to the Therapeutic Relationship in Counselling and Psychotherapy

The therapeutic relationship is considered to be the most significant factor in achieving positive therapeutic change. As such, it is essential that trainee and practising therapists are able to facilitate a strong working alliance with each of their clients. This book will help them do just that, by offering a practical and evidence-based guide to all aspects of the therapeutic relationship in counselling and psychotherapy. Cross-modal in its approach, this book examines the issues impacting on the therapeutic relationship true to all models of practice. Content covered includes: - The history of the therapeutic relationship - The place of the therapeutic relationship in a range of therapy settings, including IAPT - Concepts and practical skills essential for establishing and maintaining a successful working alliance - The application of the therapeutic relationship to a variety of professional roles in health and social care - Practice issues including potential challenges to the therapeutic relationship, working with diversity and personal and professional development - Research and new developments Using examples, points for reflection and chapter aims and summaries to help consolidate learning, the authors break down the complex and often daunting topic of the therapeutic relationship, making this essential reading for trainee and practising therapists, as well as those working in a wider range of health, social care and helping relationships.

An Introduction to the Thought of Karl Popper

This is a comprehensive introduction to the philosophical and political thought of Karl Popper, now available in English. It is divided into three parts; the first part provides a biography of Popper; the second part looks at his works and recurrent themes, and the third part assesses his critics. It was approved of by Popper himself as a sympathetic and comprehensive study, and will be ideal to meet the increasing demand for a summary introduction to his work.

An Introduction to the Three Volumes of Karl Marx's Capital

The global economic crisis and recession that began in 2008 had at least one unexpected outcome: a surge in sales of Karl Marx's Capital. Although mainstream economists and commentators once dismissed Marx's work as outmoded and flawed, some are begrudgingly acknowledging an analysis that sees capitalism as inherently unstable. And of course, there are those, like Michael Heinrich, who have seen the value of Marx all along, and are in a unique position to explain the intricacies of Marx's thought. Heinrich's modern interpretation of Capital is now available to English-speaking readers for the first time. It has gone through nine editions in Germany, is the standard work for Marxist study groups, and is used widely in German universities. The author systematically covers all three volumes of Capital and explains all the basic aspects of Marx's critique of capitalism in a way that is clear and concise. He provides background information on the intellectual and political milieu in which Marx worked, and looks at crucial issues beyond the scope of Capital, such as class struggle, the relationship between capital and the state, accusations of historical determinism, and Marx's understanding of communism. Uniquely, Heinrich emphasizes the monetary character of Marx's work, in addition to the traditional emphasis on the labor theory of value, this highlighting the relevance of Capital to the age of financial explosions and implosions.

An Introduction to the Topological Derivative Method (SpringerBriefs in Mathematics)

This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept in shape optimization has applications in many different fields such as topology optimization, inverse problems, imaging processing, multi-scale material design and mechanical modeling including damage and fracture evolution phenomena. In particular, the topological derivative is used here in numerical methods of shape optimization, with applications in the context of compliance structural topology optimization and topology design of compliant mechanisms. Some exercises are offered at the end of each chapter, helping the reader to better understand the involved concepts.

An Introduction to the Trinity

Over the last decade there has been a resurgence of writing on the Trinity, indicating a renewal of ideas and debate concerning this key element of Christian theology. This introduction challenges the standard account of a decline and revival in Trinitarian theology, taking into account recent, alternative readings of the theological tradition by Lewis Ayres and Michel Barnes amongst other scholars. By clearly analysing the scope of these new approaches, the authors establish the importance of a considered understanding of the Trinity, resisting the notion of separating faith and reason and identifying theology's link to spirituality. Their account also eschews the easy stereotypes of Western Christianity's supposedly more Unitarian approach as opposed to the more Trinitarian view of the East. Offering an overview of the main people and themes in Trinitarian theology past and present, this book thus provides an accessible, comprehensive guide for students and scholars alike.

An Introduction to the U.S. Congress

What does Congress do? How does it do it? Why is it such a complicated institution? This concise primer offers students and general readers a brief and systematic introduction to Congress and the role it plays in the US political system. Drawing on his experience as a former Congressional staff member, the author explores the different political natures of the House and Senate, examines Congress's interaction with other branches of the Federal government, and looks ahead to the domestic and foreign challenges that are likely to drive the Congressional agenda for decades to come. The book provides revealing insights into the sometimes-contradictory Congressional responsibilities of representation and lawmaking; oversight and appropriation; and managing and organizing the government. It includes a case study (on the formation of the Department of Homeland Security) that sheds light on Congress's often-complicated procedures. The book also includes boxed features on Congressional action - highlighting such topics as file sharing and student loans - that show students how Congress's work affects their lives. Chapter-ending lists of web resources add to the book's usefulness.

An Introduction to the US Health Care Industry: Balancing Care, Cost, and Access

Why does US health care have such high costs and poor outcomes? Dr. David S. Guzick offers this critique of the American health care industry and argues that it could work more effectively by rebalancing care, cost, and access.For decades, the United States has been faced with a puzzling problem: Despite spending much more money per capita on health care than any other developed nation, its population suffers from notoriously poorer health. In comparison with 10 other high-income nations, in fact, the US has the lowest life expectancy at birth, the highest rates of infant and neonatal mortality, and the most inequitable access to physicians when adjusted for need. In An Introduction to the US Health Care Industry, Dr. David S. Guzick takes an in-depth look at this troubling issue. Bringing to bear his unique background as a physician, economist, former University of Rochester medical school dean, and former president of the University of Florida Health System, Dr. Guzick shows that what we commonly refer to as the US health care "system" is actually an industry forged by a unique collection of self-interested and disjointed stakeholders. He argues that the assumptions underlying well-functioning markets do not align with health care. The resulting market imperfections, combined with entrenched industry stakeholders, have led to a significant imbalance of care, cost, and access.Using a nontechnical framework, Dr. Guzick introduces readers to the economic principles behind the function—and dysfunction—of our health care industry. He shows how the market-based approach could be expected to remedy these problems while detailing the realities of imperfections, regulations, and wealth inequality on those functions. He also analyzes how this industry developed, presenting the conceptual underpinnings of the health care industry while detailing its history and tracing the creation and entrenchment of the current federation of key stakeholders—government, insurance companies, hospitals, doctors, employers, and drug and device manufacturers. In the final section of the book, Dr. Guzick looks to the future, describing the prevention, innovation, and alternative financing models that could help to rebalance the priorities of care, cost, and access that Americans need.An online supplement on COVID-19 is available, as is a discussion guide for instructors. To access this supplemental material, please visit www.jhupbooks.press.jhu.edu.

An Introduction to the Unitarian and Universalist Traditions

How is a free faith expressed, organised and governed? How are diverse spiritualities and theologies made compatible? What might a religion based in reason and democracy offer today's world? This book will help the reader to understand the contemporary liberal religion of Unitarian Universalism in a historical and global context. Andrea Greenwood and Mark W. Harris challenge the view that the Unitarianism of New England is indigenous and the point from which the religion spread. Relationships between Polish radicals and the English Dissenters existed and the English radicals profoundly influenced the Unitarianism of the nascent United States. Greenwood and Harris also explore the US identity as Unitarian Universalist since a 1961 merger and its current relationship to international congregations, particularly in the context of twentieth-century expansion into Asia.

An Introduction to the World-System Perspective: (Second Edition)

An Introduction to: A Comprehensive Text-Past, Present, and Future

This semester-long, introductory theatre textbook is highly readable and created specifically to instill a strong interest in theatre.

An Introductory Course in Computational Neuroscience (Computational Neuroscience Series)

A textbook for students with limited background in mathematics and computer coding, emphasizing computer tutorials that guide readers in producing models of neural behavior. This introductory text teaches students to understand, simulate, and analyze the complex behaviors of individual neurons and brain circuits. It is built around computer tutorials that guide students in producing models of neural behavior, with the associated Matlab code freely available online. From these models students learn how individual neurons function and how, when connected, neurons cooperate in a circuit. The book demonstrates through simulated models how oscillations, multistability, post-stimulus rebounds, and chaos can arise within either single neurons or circuits, and it explores their roles in the brain. The book first presents essential background in neuroscience, physics, mathematics, and Matlab, with explanations illustrated by many example problems. Subsequent chapters cover the neuron and spike production; single spike trains and the underlying cognitive processes; conductance-based models; the simulation of synaptic connections; firing-rate models of large-scale circuit operation; dynamical systems and their components; synaptic plasticity; and techniques for analysis of neuron population datasets, including principal components analysis, hidden Markov modeling, and Bayesian decoding. Accessible to undergraduates in life sciences with limited background in mathematics and computer coding, the book can be used in a “flipped” or “inverted” teaching approach, with class time devoted to hands-on work on the computer tutorials. It can also be a resource for graduate students in the life sciences who wish to gain computing skills and a deeper knowledge of neural function and neural circuits.

An Introductory Course in Functional Analysis (Universitext)

Based on a graduate course by the celebrated analyst Nigel Kalton, this well-balanced introduction to functional analysis makes clear not only how, but why, the field developed. All major topics belonging to a first course in functional analysis are covered. However, unlike traditional introductions to the subject, Banach spaces are emphasized over Hilbert spaces, and many details are presented in a novel manner, such as the proof of the Hahn-Banach theorem based on an inf-convolution technique, the proof of Schauder's theorem, and the proof of the Milman-Pettis theorem. With the inclusion of many illustrative examples and exercises, An Introductory Course in Functional Analysis equips the reader to apply the theory and to master its subtleties. It is therefore well-suited as a textbook for a one- or two-semester introductory course in functional analysis or as a companion for independent study.

An Introductory Course in Lebesgue Spaces (CMS Books in Mathematics)

This book is devoted exclusively to Lebesgue spaces and their direct derived spaces. Unique in its sole dedication, this book explores Lebesgue spaces, distribution functions and nonincreasing rearrangement. Moreover, it also deals with weak, Lorentz and the more recent variable exponent and grand Lebesgue spaces with considerable detail to the proofs. The book also touches on basic harmonic analysis in the aforementioned spaces. An appendix is given at the end of the book giving it a self-contained character. This work is ideal for teachers, graduate students and researchers.

An Introductory Course in Summability Theory

An introductory course in summability theory for students, researchers, physicists, and engineers In creating this book, the authors’ intent was to provide graduate students, researchers, physicists, and engineers with a reasonable introduction to summability theory. Over the course of nine chapters, the authors cover all of the fundamental concepts and equations informing summability theory and its applications, as well as some of its lesser known aspects. Following a brief introduction to the history of summability theory, general matrix methods are introduced, and the Silverman-Toeplitz theorem on regular matrices is discussed. A variety of special summability methods, including the Nörlund method, the Weighted Mean method, the Abel method, and the (C, 1) - method are next examined. An entire chapter is devoted to a discussion of some elementary Tauberian theorems involving certain summability methods. Following this are chapters devoted to matrix transforms of summability and absolute summability domains of reversible and normal methods; the notion of a perfect matrix method; matrix transforms of summability and absolute summability domains of the Cesàro and Riesz methods; convergence and the boundedness of sequences with speed; and convergence, boundedness, and summability with speed. • Discusses results on matrix transforms of several matrix methods • The only English-language textbook describing the notions of convergence, boundedness, and summability with speed, as well as their applications in approximation theory • Compares the approximation orders of Fourier expansions in Banach spaces by different matrix methods • Matrix transforms of summability domains of regular perfect matrix methods are examined • Each chapter contains several solved examples and end-of-chapter exercises, including hints for solutions An Introductory Course in Summability Theory is the ideal first text in summability theory for graduate students, especially those having a good grasp of real and complex analysis. It is also a valuable reference for mathematics researchers and for physicists and engineers who work with Fourier series, Fourier transforms, or analytic continuation. ANTS AASMA, PhD, is Associate Professor of Mathematical Economics in the Department of Economics and Finance at Tallinn University of Technology, Estonia. HEMEN DUTTA, PhD, is Senior Assistant Professor of Mathematics at Gauhati University, India. P.N. NATARAJAN, PhD, is Formerly Professor and Head of the Department of Mathematics, Ramakrishna Mission Vivekananda College, Chennai, Tamilnadu, India.

An Introductory Course of Particle Physics

For graduate students unfamiliar with particle physics, An Introductory Course of Particle Physics teaches the basic techniques and fundamental theories related to the subject. It gives students the competence to work out various properties of fundamental particles, such as scattering cross-section and lifetime. The book also gives a lucid summary

An Introductory Course on Differentiable Manifolds

Based on author Siavash Shahshahani's extensive teaching experience, this volume presents a thorough, rigorous course on the theory of differentiable manifolds. Geared toward advanced undergraduates and graduate students in mathematics, the treatment's prerequisites include a strong background in undergraduate mathematics, including multivariable calculus, linear algebra, elementary abstract algebra, and point set topology. More than 200 exercises offer students ample opportunity to gauge their skills and gain additional insights.The four-part treatment begins with a single chapter devoted to the tensor algebra of linear spaces and their mappings. Part II brings in neighboring points to explore integrating vector fields, Lie bracket, exterior derivative, and Lie derivative. Part III, involving manifolds and vector bundles, develops the main body of the course. The final chapter provides a glimpse into geometric structures by introducing connections on the tangent bundle as a tool to implant the second derivative and the derivative of vector fields on the base manifold. Relevant historical and philosophical asides enhance the mathematical text, and helpful Appendixes offer supplementary material.

An Introductory Dictionary of Lacanian Psychoanalysis

Jacques Lacan's thinking revolutionised the theory and practice of psychoanalysis and had a major impact in fields as diverse as film studies, literary criticism, feminist theory and philosophy. Yet his writings are notorious for their complexity and idiosyncratic style. Emphasising the clinical basis of Lacan's work, An Introductory Dictionary of Lacanian Psychoanalysis is an ideal companion to his ideas for readers in every discipline where his influence is felt. The Dictionary features:* over 200 entries, explaining Lacan's own terminology and his use of common psychoanalytic expressions* details of the historical and institutional context of Lacan's work* reference to the origins of major concepts in the work of Freud, Saussure, Hegel and other key thinkers* a chronology of Lacan's life and works.

An Introductory Guide to Computational Methods for the Solution of Physics Problems (Lecture Notes in Physics #955)

This monograph presents fundamental aspects of modern spectral and other computational methods, which are not generally taught in traditional courses. It emphasizes concepts as errors, convergence, stability, order and efficiency applied to the solution of physical problems. The spectral methods consist in expanding the function to be calculated into a set of appropriate basis functions (generally orthogonal polynomials) and the respective expansion coefficients are obtained via collocation equations. The main advantage of these methods is that they simultaneously take into account all available information, rather only the information available at a limited number of mesh points. They require more complicated matrix equations than those obtained in finite difference methods. However, the elegance, speed, and accuracy of the spectral methods more than compensates for any such drawbacks. During the course of the monograph, the authors examine the usually rapid convergence of the spectral expansions and the improved accuracy that results when nonequispaced support points are used, in contrast to the equispaced points used in finite difference methods. In particular, they demonstrate the enhanced accuracy obtained in the solution of integral equations.The monograph includes an informative introduction to old and new computational methods with numerous practical examples, while at the same time pointing out the errors that each of the available algorithms introduces into the specific solution. It is a valuable resource for undergraduate students as an introduction to the field and for graduate students wishing to compare the available computational methods. In addition, the work develops the criteria required for students to select the most suitable method to solve the particular scientific problem that they are confronting.

An Introductory Guide to Qualitative Research in Art Museums (Routledge Guides to Practice in Museums, Galleries and Heritage)

An Introductory Guide to Qualitative Research in Art Museums is a practice-based guide that is designed to introduce qualitative research to established and upcoming museum professionals and increase their confidence to conduct this type of research. Highlighting the work of researchers who are studying museums around the world, the book begins by explaining why there is a need for qualitative research in museums. Rowson Love and Randolph then go on to provide guidance, including theories and frameworks, on how to envision a qualitative research project that facilitates meaningful interpretation of visitor experiences. Chapters in the methodology section begin with descriptions of featured qualitative methodologies and will assist readers as they determine which are most appropriate for their projects and as they advocate for their research. The final section will prepare readers still further by demonstrating data analysis and reporting using the examples in the book. An Introductory Guide to Qualitative Research in Art Museums will help museum professionals and students engaged in the study of museums expand their repertoire to include qualitative methodologies and explain the methods needed to conduct, analyze, and report their qualitative research. It will be particularly useful to those with an interest in museum education, visitor studies and audience research, exhibition development, leadership, and management.