This book draws on research in psychology and behavioral economics to show how striving to live up to our identity claims profoundly affects our daily lives. The author argues the claims we make about who we are and what we stand for powerfully influence us, and our social world. Asking questions such as: Why do people resist the temptation to cheat when cheating would benefit them greatly and no one would find out? Why do people express different beliefs about climate change when they are first reminded of their political affiliation? Why do people prefer to be compensated for donating blood with cholesterol screening than with money? Miller puts forth a novel and compelling argument regarding how strongly our identity claims affect our daily lives. The book provides explanations for many forms of puzzling behavior, such as why people sometimes act against their economic self-interest, how they avoid situations that test their moral identities, and how they respond to failures to live up to their moral identities. It paints an intriguing picture of people's investment in their identity claims by showing how they seek opportunities to demonstrate their validity, avoid actions and circumstances that challenge their legitimacy, and employ psychological defenses when others challenge their legitimacy. Based on extensive research in the fields of psychology, economics, and political science, this book is fascinating reading for students and academics interested in identity and the self. It also provides an expanded tool kit for those who seek behavioral change in their organization or community.

This book draws on research in psychology and behavioral economics to show how striving to live up to our identity claims profoundly affects our daily lives. The author argues the claims we make about who we are and what we stand for powerfully influence us, and our social world. Asking questions such as: Why do people resist the temptation to cheat when cheating would benefit them greatly and no one would find out? Why do people express different beliefs about climate change when they are first reminded of their political affiliation? Why do people prefer to be compensated for donating blood with cholesterol screening than with money? Miller puts forth a novel and compelling argument regarding how strongly our identity claims affect our daily lives. The book provides explanations for many forms of puzzling behavior, such as why people sometimes act against their economic self-interest, how they avoid situations that test their moral identities, and how they respond to failures to live up to their moral identities. It paints an intriguing picture of people's investment in their identity claims by showing how they seek opportunities to demonstrate their validity, avoid actions and circumstances that challenge their legitimacy, and employ psychological defenses when others challenge their legitimacy. Based on extensive research in the fields of psychology, economics, and political science, this book is fascinating reading for students and academics interested in identity and the self. It also provides an expanded tool kit for those who seek behavioral change in their organization or community.

This book contains an extensive collection of exercises and problems that address relevant topics in linear algebra. Topics that the author finds missing or inadequately covered in most existing books are also included. The exercises will be both interesting and helpful to an average student. Some are fairly routine calculations, while others require serious thought.The format of the questions makes them suitable for teachers to use in quizzes and assigned homework. Some of the problems may provide excellent topics for presentation and discussions. Furthermore, answers are given for all odd-numbered exercises which will be extremely useful for self-directed learners. In each chapter, there is a short background section which includes important definitions and statements of theorems to provide context for the following exercises and problems.

The volume is introduced with a schedule of the conference sessions held in May 1998 in Moscow, and a vita of Kurosh (1908-1971), a forefather of modern algebra affiliated with Moscow State U. The names of the six sessions offer a sense of the diversity of participant interests: group theory; theory of rings and modules, homological algebra, and K-theory; Lie groups and Lie algebras, invariant theory, and algebraic groups; algebraic geometry, algebraic number theory, commutative algebra; algebraic systems; and computer algebra, and algorithmic problems. A sampling of the 32 titles by the international contributors includes: Strictly stratified algebras; Randomness: algebraic, statistical and complexity theory aspects; Codimension growth and graded identities; Birational correspondences of a double cone; Modular Lie algebras: new trends; and Some notes on universal algebraic geometry. Lacks an index.

Advances in Queueing Theory and Network Applications presents several useful mathematical analyses in queueing theory and mathematical models of key technologies in wired and wireless communication networks such as channel access controls, Internet applications, topology construction, energy saving schemes, and transmission scheduling. In sixteen high quality chapters, this work provides novel ideas, new analytical models, and simulation and experimental results by experts in the field of queueing theory and network applications.

The text serves as a state-of-the-art reference for a wide range of researchers and engineers engaged in the fields of queueing theory and network applications, and can also serve as supplemental material for advanced courses in operations research, queueing theory, performance analysis, traffic theory, as well as theoretical design and management of communication networks.

A collection of lectures presented at the Fourth International Conference on Nonassociative Algebra and its Applications, held in Sao Paulo, Brazil. Topics in algebra theory include alternative, Bernstein, Jordan, lie, and Malcev algebras and superalgebras. The volume presents applications to population genetics theory, physics, and more.

This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines.

This textbook provides an accessible and concise introduction to numerical analysis for upper undergraduate and beginning graduate students from various backgrounds. It was developed from the lecture notes of four successful courses on numerical analysis taught within the MPhil of Scientific Computing at the University of Cambridge. The book is easily accessible, even to those with limited knowledge of mathematics. Students will get a concise, but thorough introduction to numerical analysis. In addition the algorithmic principles are emphasized to encourage a deeper understanding of why an algorithm is suitable, and sometimes unsuitable, for a particular problem. A Concise Introduction to Numerical Analysis strikes a balance between being mathematically comprehensive, but not overwhelming with mathematical detail. In some places where further detail was felt to be out of scope of the book, the reader is referred to further reading. The book uses MATLAB (R) implementations to demonstrate the workings of the method and thus MATLAB's own implementations are avoided, unless they are used as building blocks of an algorithm. In some cases the listings are printed in the book, but all are available online on the book's page at www.crcpress.com. Most implementations are in the form of functions returning the outcome of the algorithm. Also, examples for the use of the functions are given. Exercises are included in line with the text where appropriate, and each chapter ends with a selection of revision exercises. Solutions to odd-numbered exercises are also provided on the book's page at www.crcpress.com. This textbook is also an ideal resource for graduate students coming from other subjects who will use numerical techniques extensively in their graduate studies.

Can a sense of belonging increase life satisfaction? Why do we sometimes feel lonely? How can we sustain lasting human connections? The Psychology of Belonging explores why feeling like we belong is so important throughout our lives, from childhood to old age, irrespective of culture, race or geography. With its virtues and shortcomings, belonging to groups such as families, social groups, schools, workplaces and communities is fundamental to our identity and wellbeing, even in a time when technology has changed the way we connect with each other. In a world where loneliness and social isolation is on the rise, The Psychology of Belonging shows how meaningful connections can build a sense of belonging for all of us.

Why do we develop extreme attitudes to others? Can our personality contribute to our prejudices? How do we reduce prejudice and discrimination? The Psychology of Prejudice explores different forms of prejudice and discrimination, from racial jokes to genocide. It looks at what might cause our prejudiced attitudes, including our personalities, social influences, group identity, and evolutionary factors, and how prejudice can be reduced through education, campaigning, and consciousness raising. Offering insights into a topic of great public concern and debate, The Psychology of Prejudice shows us how we can confront our prejudiced attitudes and contribute to greater tolerance and understanding.

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Intergroup dialogue is a form of democratic engagement that fosters communication, critical reflection, and collaborative action across social and cultural divides. Engaging social identities is central to this approach. In recent years, intergroup dialogue has emerged as a promising social justice education practice that addresses pressing issues in higher education, school and community settings. This edited volume provides a thoughtful and comprehensive overview of intergroup dialogue spanning conceptual frameworks for practice, and most notably a diverse set of research studies which examine in detail the processes and learning that take place through dialogue. This book addresses questions from the fields of education, social psychology, sociology, and social work, offering specific recommendations and examples related to curriculum and pedagogy. Furthermore, it contributes to an understanding of how to constructively engage students and others in education about difference, identities, and social justice. This book was originally published as a special issue of Equity & Excellence in Education.

Essential mathematical tools for the study of modern quantum theory.

Linear Algebra for Quantum Theory offers an excellent survey of those aspects of set theory and the theory of linear spaces and their mappings that are indispensable to the study of quantum theory. Unlike more conventional treatments, this text postpones its discussion of the binary product concept until later chapters, thus allowing many important properties of the mappings to be derived without it.

The book begins with a thorough exploration of set theory fundamentals, including mappings, cardinalities of sets, and arithmetic and theory of complex numbers. Next is an introduction to linear spaces, with coverage of linear operators, eigenvalue and the stability problem of linear operators, and matrices with special properties.

Material on binary product spaces features self-adjoint operators in a space of indefinite metric, binary product spaces with a positive definite metric, properties of the Hilbert space, and more. The final section is devoted to axioms of quantum theory formulated as trace algebra. Throughout, chapter-end problem sets help reinforce absorption of the material while letting readers test their problem-solving skills.

Ideal for advanced undergraduate and graduate students in theoretical and computational chemistry and physics, Linear Algebra for Quantum Theory provides the mathematical means necessary to access and understand the complex world of quantum theory.

The book contains seven refereed research papers on locally compact quantum groups and groupoids by leading experts in the respective fields. These contributions are based on talks presented on the occasion of the meeting between mathematicians and theoretical physicists held in Strasbourg from February 21 to February 23, 2002. Topics covered are: various constructions of locally compact quantum groups and their multiplicative unitaries; duality theory for locally compact quantum groups; combinatorial quantization of flat connections associated with SL(2,c); quantum groupoids, especially coming from Depth 2 Extensions of von Neumann algebras, C*-algebras and Rings. Many mathematical results are motivated by problems in theoretical physics. Historical remarks set the results presented in perspective. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume will give an overview of a field of research in which great progress has been achieved in the last few years, with new ties to many other areas of mathematics and physics.

This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander-Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory.

This proceedings volume presents a diverse collection of high-quality, state-of-the-art research and survey articles written by top experts in low-dimensional topology and its applications. The focal topics include the wide range of historical and contemporary invariants of knots and links and related topics such as three- and four-dimensional manifolds, braids, virtual knot theory, quantum invariants, braids, skein modules and knot algebras, link homology, quandles and their homology; hyperbolic knots and geometric structures of three-dimensional manifolds; the mechanism of topological surgery in physical processes, knots in Nature in the sense of physical knots with applications to polymers, DNA enzyme mechanisms, and protein structure and function. The contents is based on contributions presented at the International Conference on Knots, Low-Dimensional Topology and Applications - Knots in Hellas 2016, which was held at the International Olympic Academy in Greece in July 2016. The goal of the international conference was to promote the exchange of methods and ideas across disciplines and generations, from graduate students to senior researchers, and to explore fundamental research problems in the broad fields of knot theory and low-dimensional topology. This book will benefit all researchers who wish to take their research in new directions, to learn about new tools and methods, and to discover relevant and recent literature for future study.

This book offers a systematic introduction to recent achievements and development in research on the structure of finite non-simple groups, the theory of classes of groups and their applications. In particular, the related systematic theories are considered and some new approaches and research methods are described - e.g., the F-hypercenter of groups, X-permutable subgroups, subgroup functors, generalized supplementary subgroups, quasi-F-group, and F-cohypercenter for Fitting classes. At the end of each chapter, we provide relevant supplementary information and introduce readers to selected open problems.

As the first book to examine the psychological motivations underlying people's attitudes, as well as why people form attitudes, this volume presents empirical research describing theoretical perspectives and practical applications. The editors assembled the leaders in the field to examine the topics of attitude function persuasion, individual-differences approaches, and the role of motivation within a variety of psychological disciplines, including social, personality, consumer, and environmental.

This is an open access title available under the terms of a CC BY-NC-ND 4.0 International licence. It is free to read at Oxford Scholarship Online and offered as a free PDF download from OUP and selected open access locations. The formation of coalitions to achieve both collaborative and competitive goals is a phenomenon we see all around us. The list is long and varied: production cartels, political lobbies, customs unions, environmental coalitions, and ethnic alliances are just a few everyday instances. Drawing upon and extending his inaugural Lipsey Lectures at the University of Essex, Debraj Ray looks at coalition formation from the perspective of game theory. How are agreements determined? Which coalitions will form? And are such agreements invariably efficient from a social perspective? Ray brings together developments in both cooperative and noncooperative game theory to study the analytics of coalition formation and binding agreements. This book concentrates on pure theory, but discusses several potential applications, such as oligopoly and the provision of public goods.

This is the second of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains surveys on aspects of closure operations, finiteness conditions and factorization. Closure operations on ideals and modules are a bridge between noetherian and nonnoetherian commutative algebra. It contains a nice guide to closure operations by Epstein, but also contains an article on test ideals by Schwede and Tucker and one by Enescu which discusses the action of the Frobenius on finite dimensional vector spaces both of which are related to tight closure. Finiteness properties of rings and modules or the lack of them come up in all aspects of commutative algebra. However, in the study of non-noetherian rings it is much easier to find a ring having a finite number of prime ideals. The editors have included papers by Boynton and Sather-Wagstaff and by Watkins that discuss the relationship of rings with finite Krull dimension and their finite extensions. Finiteness properties in commutative group rings are discussed in Glaz and Schwarz's paper. And Olberding's selection presents us with constructions that produce rings whose integral closure in their field of fractions is not finitely generated. The final three papers in this volume investigate factorization in a broad sense. The first paper by Celikbas and Eubanks-Turner discusses the partially ordered set of prime ideals of the projective line over the integers. The editors have also included a paper on zero divisor graphs by Coykendall, Sather-Wagstaff, Sheppardson and Spiroff. The final paper, by Chapman and Krause, concerns non-unique factorization.

The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.

This is the fourth volume of a comprehensive and elementary treatment of finite p-group theory. As in the previous volumes, minimal nonabelian p-groups play an important role. Topics covered in this volume include: subgroup structure of metacyclic p-groups Ishikawa's theorem on p-groups with two sizes of conjugate classes p-central p-groups theorem of Kegel on nilpotence of H p-groups partitions of p-groups characterizations of Dedekindian groups norm of p-groups p-groups with 2-uniserial subgroups of small order The book also contains hundreds of original exercises and solutions and a comprehensive list of more than 500 open problems. This work is suitable for researchers and graduate students with a modest background in algebra.

This book examines the phenomenon of silence in relation to human behaviour from multiple perspectives, drawing on psychological and cultural-philosophical ideas to create new, surprising connections between silence, quiet and rest. Silence and being quiet are present in everyday life and in politics, but why do we talk about it so rarely? Silence can be cathartic and peaceful, but equally oppressive and unbearable. In the form of communication, we keep secrets to protect ourselves and others, but on the other hand subjects can be silenced with dictatorial posturing - a communicative display of power - and something can be literally 'hushed up' that needs to be disclosed. In unique and engaging style, Theodor Itten explores the multi-layered internal conversation on silence in relation to the self and emotions, demonstrating why it is sometimes necessary in our modern society. Describing and analyzing human behaviour in relation to silence, the book also draws on psychoanalytic ideas by outlining the power of silence in processing our emotions and relationships and hiding innermost feelings. With rich narrative signposts providing thought-provoking and amusing insights, and interpersonal communication examined in relation to everyday life, this is fascinating reading for students and academics in psychology, philosophy, cultural studies, and related areas.

Praise is perhaps the most widely used technique to influence others. When used appropriately, praise can motivate people, make them feel better, and improve their social relationships. Often, however, praise fails to work as intended and may even cause harm. Psychological Perspectives on Praise reviews and integrates psychological theory and research to provide an overarching perspective on praise. With contributions from leading scholars in the field, this book amalgamates diverse theoretical and empirical perspectives on praise. The book starts with providing an overview of prominent theories that seek to explain the effects of praise, including self-enhancement theory, self-verification theory, attribution theory, and self-determination theory. It then discusses several lines of empirical research on how praise impacts competence and motivation, self-perceptions (e.g., self-esteem and narcissism), and social relationships. It does so in a range of contexts, including children's learning at school, employees' commitment at work, and people's behavior within romantic relationships. The book concludes by showing how praise can be understood in its developmental and cultural context. Revealing that praise is a message rich in information about ourselves and our social environments, this book will be of interest to social, organizational, personality, developmental, and educational psychologists; students in psychology and related disciplines; and practitioners including teachers, managers, and counselors who use praise in their daily practice.

Praise is perhaps the most widely used technique to influence others. When used appropriately, praise can motivate people, make them feel better, and improve their social relationships. Often, however, praise fails to work as intended and may even cause harm. Psychological Perspectives on Praise reviews and integrates psychological theory and research to provide an overarching perspective on praise. With contributions from leading scholars in the field, this book amalgamates diverse theoretical and empirical perspectives on praise. The book starts with providing an overview of prominent theories that seek to explain the effects of praise, including self-enhancement theory, self-verification theory, attribution theory, and self-determination theory. It then discusses several lines of empirical research on how praise impacts competence and motivation, self-perceptions (e.g., self-esteem and narcissism), and social relationships. It does so in a range of contexts, including children's learning at school, employees' commitment at work, and people's behavior within romantic relationships. The book concludes by showing how praise can be understood in its developmental and cultural context. Revealing that praise is a message rich in information about ourselves and our social environments, this book will be of interest to social, organizational, personality, developmental, and educational psychologists; students in psychology and related disciplines; and practitioners including teachers, managers, and counselors who use praise in their daily practice.