What is math? How exactly does it work? And what do three siblings trying to share a cake have to do with it? In How to Bake Pi, math professor Eugenia Cheng provides an accessible introduction to the logic and beauty of mathematics, powered, unexpectedly, by insights from the kitchen. We learn how the bechamel in a lasagna can be a lot like the number five, and why making a good custard proves that math is easy but life is hard. At the heart of it all is Cheng's work on category theory, a cutting-edge "mathematics of mathematics," that is about figuring out how math works. Combined with her infectious enthusiasm for cooking and true zest for life, Cheng's perspective on math is a funny journey through a vast territory no popular book on math has explored before. So, what is math? Let's look for the answer in the kitchen.

This book is a study in economic geography, treated historically. Its primary purpose is to describe and explain the industrial geography of London since 1861, using the most recent statistics available for that purpose, noting that this work was originally published in 1962.

Richly illustrated in attractive full-colour and contains pedagogical features such as essay questions, summary and key points, and further reading suggestions is supported by a fully updated companion website, featuring student resources including lecture recordings, multiple choice questions and useful web links, as well as PowerPoint slides for lecturers. The only dedicated textbook on social neuroscience providing a much needed resource for lecturers and students. Suitable for both undergraduate and postgraduate students in psychology and neuroscience from 2nd year to masters level. Relevant courses include social neuroscience, social cognitive neuroscience, the social mind, social cognition, human neuroscience, developmental social neuroscience, etc. The third edition will be updated to reflect the growing volume of evidence and theories in the field and will include additional content on the applications of social neuroscience, social influence, reproducibility issues, and computational approaches. The companion website will include a new test bank.

This volume examines communication processes within the grandmother-mother-daughter relationship, emphasizing an intergenerational perspective. Using observations of and extensive interviews with six sets of middle-income, Caucasian female family members, this book offers a heuristic account of intergenerational mother-daughter relational communication.
Author Michelle Miller-Day integrates and juxtaposes alternative experiences of social interaction, situating readers in the world of grandmothers, mothers, adult daughters, and granddaughters as they experience, describe, and analyze their family communication. Miller-Day incorporates aged mothers and younger mid-life mothers and their adult daughters into the research to illustrate how this type of maternal relationship is experienced at different points in a woman's life. With the inclusion of three generations of women, Miller-Day offers multigenerational perspectives on family, and examines them for patterns of maternal interaction, providing symbolic links across generational boundaries.
"Communication Among Grandmothers, Mothers, and Adult Daughters "enables readers to understand more completely the richly textured nature of maternal relationships. It will be an invaluable resource for scholars and researchers in the areas of communication and relationships, including family communication, intergenerational communication, women's studies, family studies, interpersonal communication, and relationships, as well as social workers, psychologists, and counselors, who strive to understand family communication processes and their dynamics across generational lines.

A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology. Each topic is developed until significant results are achieved and each chapter ends with exercises and brief accounts of the latest research. What may reasonably be referred to as knot theory has expanded enormously over the last decade and, while the author describes important discoveries throughout the twentieth century, the latest discoveries such as quantum invariants of 3-manifolds as well as generalisations and applications of the Jones polynomial are also included, presented in an easily intelligible style. Readers are assumed to have knowledge of the basic ideas of the fundamental group and simple homology theory, although explanations throughout the text are numerous and well-done. Written by an internationally known expert in the field, this will appeal to graduate students, mathematicians and physicists with a mathematical background wishing to gain new insights in this area.

Originally published in 1988, the purpose of this book was to explore the interrelations among communication, social cognition and affect. The contributors, selected by the editors, were some of the best known in their fields and they significantly added to the knowledge of this interdisciplinary domain at the time. In late April 1986 the authors met at a conference centre at the University of Kentucky. They presented first drafts of their chapters and exchanged ideas. Out of these interactions came this book, which has a broad interest across several areas of psychology and communication. While answering a number of questions, the authors also posed others for future examination.

Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

This book provides a diverse collection of studies reporting the effects of social influence processes in multiple cultures at both the universal and culture-specific levels. The book is characterized by three distinct features. First, the social influence process is considered as a ubiquitous and pervasive feature of human interaction. Second, the book represents a multicultural approach which includes both cross-cultural and culture-focused examinations. Third, the book emphasizes practical implications of the research presented. This volume incorporates theory and research stemming from three different approaches to social influence: social influence principles across cultures, social influence and social change across cultures, and culture and moral perspective in the social influence process. Because each of these three parts encompasses a considerable variety of research methodologies, social contexts, and cultures, each is proceeded by an integrative commentary authored by one of the book editors. These essays provide syntheses of the topics and themes within the corresponding sections and within the book as a whole. They also offer critical commentaries on both theoretical and methodological issues, raise suggestions for future research, and focus on practical applications. This book is intended for both scholars interested in cross- and multicultural research into the mechanisms of the social influence process and for the professional whose mission is to make planned changes in a society. Knowledge about the influence process, especially regarding how it works in different cultures and within several cultural groups, facilitates this goal. The practical implications ending each chapter serve as encouraging instructions for such applications.

This book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceara, Fortaleza, BrasilWalter D. Neumann, Columbia University, New York, USAMarkus J. Pflaum, University of Colorado, Boulder, USADierk Schleicher, Jacobs University, Bremen, GermanyKatrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019)Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019)Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019)Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021)Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

Intergroup competition and conflict create pervasive problems in human society, giving rise to such phenomena as prejudice, terrorism, ethnic cleansing, and interstate war. Citizens, policy makers, social workers, schoolteachers, and politicians wrestle with these problems, and with difficult questions these issues pose: What causes conflict to escalate? How should we manage conflict within communities, and also in society at large? Is conflict always bad, or does it have other more beneficial consequences? Social Conflict within and between Groups provides an overview of contemporary research from the social sciences on these questions. It brings together the research output of a number of leading researchers in psychology, management and economics, sociology and political science, and draws on the outcomes of ten prominent research programs conducted over the past five years. The chapters cover a range of fascinating topics, including prejudice and discrimination in multi-ethnic societies, and conflict and negotiation in the field of industrial relations. The authors also consider the possibilities for intervention at the interpersonal, intergroup and societal level. This is the first volume to provide an interdisciplinary overview of the various scientific approaches to studying the origins and consequences of social conflict. It will be of great interest to researchers, graduates and upper-level undergraduate students from across the social and behavioural sciences.

With a more specific focus than the all-encompassing textbook, each title in the "Foundations of Psychology" series enables students who are new to psychology to get to grips with a key area of psychological research, while also developing an understanding of basic concepts, debates, and research methodologies. In this book Diana Jackson-Dwyer presents an introductory survey of classic and recent research on relationships and the theories that underpin them.

The book starts with a brief overview of the place of relationships within the history of psychology and of their evolutionary roots: our need to belong, to attach and to affiliate. After a look at methodology, it considers different types of relationships: kinship, friendship, loving and mating. Theories are advanced to explain the formation, maintenance and breakdown of relationships. The book draws on a wide array of contemporary research, and covers issues ranging from rising divorce rates to cultural variations in mating patterns, the issue of gay marriage, and the effect of the internet on relationships.

Each chapter contains numerous pedagogical features which will help students to engage with the material:

• Chapter-specific learning objectives and summaries of key points
• Study boxes presenting reflective exercises, research questions, and issues for discussion
• Glossaries and suggestions for further reading

Assuming no prior knowledge of the subject, "Interpersonal Relationships "provides" "an accessible" "and up-to-date overview of this vibrant area of psychology. The book will be ideal reading for students who are new to higher-level study - whether at school, college or university, and will also be useful for first-year undergraduate students taking introductory courses in psychology.

Intergroup competition and conflict create pervasive problems in human society, giving rise to such phenomena as prejudice, terrorism, ethnic cleansing, and interstate war. Citizens, policy makers, social workers, schoolteachers, and politicians wrestle with these problems, and with difficult questions these issues pose: What causes conflict to escalate? How should we manage conflict within communities, and also in society at large? Is conflict always bad, or does it have other more beneficial consequences? Social Conflict within and between Groups provides an overview of contemporary research from the social sciences on these questions. It brings together the research output of a number of leading researchers in psychology, management and economics, sociology and political science, and draws on the outcomes of ten prominent research programs conducted over the past five years. The chapters cover a range of fascinating topics, including prejudice and discrimination in multi-ethnic societies, and conflict and negotiation in the field of industrial relations. The authors also consider the possibilities for intervention at the interpersonal, intergroup and societal level. This is the first volume to provide an interdisciplinary overview of the various scientific approaches to studying the origins and consequences of social conflict. It will be of great interest to researchers, graduates and upper-level undergraduate students from across the social and behavioural sciences.

This book is an outgrowth of a Research Symposium on the Modular Representation Theory of Finite Groups, held at the University of Virginia in May 1998. The main themes of this symposium were representations of groups of Lie type in nondefining (or cross) characteristic, and recent developments in block theory. Series of lectures were given by M. Geck, A. Kleshchev and R. Rouquier, and their brief was to present material at the leading edge of research but accessible to graduate students working in the field. The first three articles are substantial expansions of their lectures, and each provides a complete account of a significant area of the subject together with an extensive bibliography. The remaining articles are based on some of the other lectures given at the symposium; some again are full surveys of the topic covered while others are short, but complete, research articles. The opportunity has been taken to produce a book of enduring value so that this is not a conference proceedings in the conventional sense. Material has been updated so that this book, through its own content and in its extensive bibliographies, will serve as an invaluable resource for all those working in the area, whether established researchers or graduate students who wish to gain a general knowledge of the subject starting from a single source.

This book presents an account of the theory of the cohomology ring of a finite group. The aim is to present a modern approach from the point of view of homological algebra, and the volume covers themes such as finite generation theorems, the cohomology of wreath products, the norm map, and variety theory. Prerequisites comprise a familiarity with modern algebra and homological algebra as might be gained from introductory graduate courses, though otherwise the book is self-contained. As a result, the book will be useful for those already engaged or commencing in research in this area of mathematics by providing an up-to-date survey of important techniques and their applications to finite group theory.

Managing Interpersonal Conflict is a systematic review of conflict research in legal, institutional and relational contexts. Each chapter represents a summary of the existing quantitative social science research using meta-analysis, with contexts ranging from jury selection to peer mediation to homophobia reduction. The contributors provide connections between cutting-edge scholarship about abstract theoretical arguments, the needs of instructional and training pedagogy, and practical applications of information. The meta-analysis approach produces a unique informational resource, offering answers to key research questions addressing conflict. This volume serves as an invaluable resource for studying conflict, mediation, negotiation and facilitation in coursework; implementing and planning training programs; designing interventions; creating workshops; and conducting studies of conflict.

Managing Interpersonal Conflict is a systematic review of conflict research in legal, institutional and relational contexts. Each chapter represents a summary of the existing quantitative social science research using meta-analysis, with contexts ranging from jury selection to peer mediation to homophobia reduction. The contributors provide connections between cutting-edge scholarship about abstract theoretical arguments, the needs of instructional and training pedagogy, and practical applications of information. The meta-analysis approach produces a unique informational resource, offering answers to key research questions addressing conflict. This volume serves as an invaluable resource for studying conflict, mediation, negotiation and facilitation in coursework; implementing and planning training programs; designing interventions; creating workshops; and conducting studies of conflict.

The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceara, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Aix-Marseille Universite, France Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbanski, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Bostjan Gabrovsek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

This book treats Jacques Tit's beautiful theory of buildings, making that theory accessible to readers with minimal background. It covers all three approaches to buildings, so that the reader can choose to concentrate on one particular approach. Beginners can use parts of the new book as a friendly introduction to buildings, but the book also contains valuable material for the active researcher.

This book is suitable as a textbook, with many exercises, and it may also be used for self-study.

This volume focuses on developments in the field of group theory in its broadest sense and is of interest to theoretical and experimental physicists, mathematicians, and scientists in related disciplines who are interested in the latest methods and applications. In an increasingly ultra-specialized world, this volume will demonstrate the interchange of ideas and methods in theoretical and mathematical physics.

This volume provides an accessible and coherent introduction to some of the scientific progress on functional equations on groups in the last two decades. It presents the latest methods of treating the topic and contains new and transparent proofs. Its scope extends from the classical functional equations on the real line to those on groups, in particular, non-abelian groups. This volume presents, in careful detail, a number of illustrative examples like the cosine equation on the Heisenberg group and on the group SL(2, ). Some of the examples are not even seen in existing monographs. Thus, it is an essential source of reference for further investigations.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays. Based on the work of speakers and invited participants at the conference "Interactions Between Representation Theory and Algebraic Geometry", held at the University of Chicago, August 21-25, 2017, this volume illustrates the impact of their research and how it has shaped the development of various branches of mathematics through the use of D-modules, the affine Grassmannian, symplectic algebraic geometry, and other topics. All authors have been deeply influenced by their ideas and present here cutting-edge developments on modern topics. Chapters are organized around three distinct themes: Groups, algebras, categories, and representation theory D-modules and perverse sheaves Analogous varieties defined by quivers Representation Theory and Algebraic Geometry will be an ideal resource for researchers who work in the area, particularly those interested in exploring the impact of the Russian school.

This text consists of a sequence of problems which develop a variety of aspects in the field of semigroupsof operators. Many of the problems are not found easily in other books. Written in the Socratic/Moore method, this is a problem book without the answers presented. To get the most out of the content requires high motivation from the reader to work out the exercises. The reader is given the opportunity to discover important developments of the subject and to quickly arrive at the point of independent research. The compactness of the volume and the reputation of the author lends this consider set of problems to be a 'classic' in the making. This text is highly recommended for us as supplementary material for 3 graduate level courses.

The concept of the 'ideal city' is, perhaps, more important today - when planners and architects are so firmly confined by considerations of our immediate environment - than ever before. Yet it is a concept which has profoundly influenced the western world throughout history, both as a regulative model and as an inspiration. Rosenau traces the progress of the concept from biblical sources through the hellenistic and Roman empires to the Renaissance and the later Age of Enlightenment, when the emphasis shifted from religious to social considerations. She goes on to discuss the resultant nineteenth-century ideal planning, when the idea of social betterment was approached with a specific and conscious effort. This book was first published in 1983.

This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J 4. Aimed at graduates and researchers in group theory, geometry and algebra, Ivanov's approach is based on analysis of group amalgams and the geometry of the complexes of these amalgams with emphasis on the underlying theory. An indispensible resource, this book will be a unique and essential reference for researchers in the area. The author is a leading researcher in the field.