Group

Consists of articles reprinted from various sources from 1905-1981.

The Mathematical Study Of Group Theory Was Initiated In The Early Nineteenth Century By Such Mathematicians As Gauss, Cauchy, Abel, Hamilton, Galois, Cayley, And Many Others. However, The Advantages Of Group Theory In Physics Were Not Recognized Till 1925 When It Was Applied For Formal Study Of Theoretical Foundations Of Quantum Mechanics, Atomic Structures And Spectra By, To Name A Few, H A Bethe, E P Wigner, Etc. It Has Now Become Indispensable In Several Branches Of Physics And Physical Chemistry.Dr. Joshi Develops The Mathematics Of Group Theory And Then Goes On To Present Its Applications To Quantum Mechanics, Crystallography, And Solid State Physics. For Proper Comprehension Of Representation Theory, He Has Covered Thoroughly Such Diverse But Relevant Topics As Hilbert Spaces, Function Spaces, Operators, And Direct Sum And Product Of Matrices. He Often Proceeds From The Particular To The General So That The Beginning Student Does Not Have An Impression That Group Theory Is Merely A Branch Of Abstract Mathematics. Various Concepts Have Been Explained Consistently By The Use Of The C4V. Besides, It Contains An Improved And More General Proof Of The Schurs First Lemma And An Interpretation Of The Orthogonality Theorem In The Language Of Vector Spaces (Chapter 3).Throughout The Text The Author Gives Attention To Details And Avoids Complicated Notation. This Is A Valuable Book For Senior Students And Researchers In Physics And Physical Chemistry. A Thorough Understanding Of The Methodology And Results Contained In This Book Will Provide The Reader Sound Theoretical Foundations For Advanced Study Of Quantum Mechanics, Solid State Physics And Atomic And Particle Physics To Help Students A Flow-Chart Explaining Step By Step The Method Of Determining A Parallel-Running Example Illustrating The Procedure In Full Details Have Been Included. An Appendix On Mappings And Functions Has Also Been Added.

While most currently available textbooks on social group work practice rely on a single theoretical model, Models for Change in Social Group Work shows beginning students as well as practitioners how to make maximum use of the various models available. This text begins with a broad historical view of the theory and practice of working with groups and traces the struggles within the profession to merge group work and casework. Next, the "mainstream model" is delineated and distinguished from the various theoretical approaches developed as alternative therapeutic models. Fatout explores notable specific approaches, each in an incisive, separate chapter: the "encounter groups" of Carl Rogers; Skinnerian behavior modification; the Gestalt groups of Fritz Perls; Eric Berne and his Transactional Analysis; the "Reality Therapy" of William Glasser; the "positive peer" model of Vorrath and Brendtro; and the neurolinguistic programming of Grinder and Bandler. Each of these approaches is analyzed in terms of its historical development, purpose, and target population. The core values and beliefs supporting each model are examined, as is the knowledge base in the behavioral sciences that informs the model. Fatout reviews the methodology, procedures, and techniques practitioners use in each approach and provides illustrations and appraisals of success in its application. Comparative and eclectic in scope, oriented towards the needs of both practitioners and their client groups, the book suggests ways in which social workers can utilize these strategies, procedures, and techniques developed outside of the profession in an effective and systematic fashion.

The Practical Handbook of Group Counseling is written mainly as a primer to be used in group work with children, adolescents, and parents. The first edition was used by over three hundred colleges and universities in the United States. Its unique design allows the reader to use it as a ready reference for practical information. It is presented as a text that can challenge the individual's ideas and upon which the counselor can develop techniques that will fit his/her personality and meet the needs of the group. The text was the first comprehensive practical book in this field. It is a synthesis of the various problems and successes that the counselor may encounter and offers one model that may be useful in resolving and/or enhancing some of these issues. The author utilizes the public school setting as the vehicle for presenting his material. Since the school is a cross section of the population, the model proposed here can be adapted to other social agencies that utilize group counseling techniques. The author, Dr. Sheldon D. Glass, has a significant background in group work and in child and adolescent development. He is uniquely qualified in this area because he has completed formal training in education, adult psychiatry, child psychiatry, and pediatrics.

This book quickly introduces beginners to general group theory and then focuses on three main themes : finite group theory, including sporadic groups combinatorial and geometric group theory, including the Bass-Serre theory of groups acting on trees the theory of train tracks by Bestvina and Handel for automorphisms of free groups With its many examples, exercises, and full solutions to selected exercises, this text provides a gentle introduction that is ideal for self-study and an excellent preparation for applications. A distinguished feature of the presentation is that algebraic and geometric techniques are balanced. The beautiful theory of train tracks is illustrated by two nontrivial examples. Presupposing only a basic knowledge of algebra, the book is addressed to anyone interested in group theory: from advanced undergraduate and graduate students to specialists.

This concise, class-tested book was refined over the authors’ 30 years as instructors at MIT and the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory along with applications helps students to learn, understand and use it for their own needs. Thus, the theoretical background is confined to introductory chapters. Subsequent chapters develop new theory alongside applications so that students can retain new concepts, build on concepts already learned, and see interrelations between topics. Essential problem sets between chapters aid retention of new material and consolidate material learned in previous chapters.

Main Group Chemistry covers the chemistry of the s- and p-block elements, together with a brief chapter on the chemistry of zinc, cadmium and mercury, often classified as main group elements rather than as transition elements. The Periodic Table is an important predictive tool in main group chemistry and in this book, forms the basis for describing the trends and variations in the chemistry of the elements. Introductory material covers the basic principles behind the Periodic Table, bonding, electronegativity and VSEPR (Valence Shell Electron Pair Repulsion) theory. The chemistry of various groups of elements is then discussed. The book incorporates a valuable chapter on inorganic polymers, discussing the chemistry of materials such as silicates, silicones, phosphazenes and diamond. Additional material is available on the website at www.rsc.org/tct Ideal for the needs of undergraduate chemistry students, Tutorial Chemistry Texts is a major series consisting of short, single topic or modular texts concentrating on the fundamental areas of chemistry taught in undergraduate science courses. Each book provides a concise account of the basic principles underlying a given subject, embodying an independent-learning philosophy and including worked examples.

Designated a Doody's Core Title! "This book provides a comprehensive and insightful overview of group leadership skills, applicable to both therapeutic and work-related groups, alike." Elizabeth McCay, RN, PD Ryerson University "[A] masterful guide that teaches us to gain the most from each group setting. Whether we are in our private practice or involved in a committee, this work gives us an excellent format to follow." William S. Bezmen, PhD, RN, CS Director, Pathways to Health, Holistic Treatment and Education Center "This is an excellent guide for key principles of leadership in managing group dynamics. Each chapter is well designed and supported with prominent research in the area which supports the theory development with current and historical evidence." Score: 97, 5 stars --Doody's Group Leadership Skills provides a solid foundation for using group concepts, theory, and research with a wide variety of groups and group settings. With this book, nurses and health professionals will learn the essential group process skills, including differentiating content from process, working with tension and anxiety, and enhancing cohesiveness. Clark presents practical strategies to improve the effectiveness of group leaders, such as helping groups solve problems and build teams. This edition is now newly expanded to apply to a diverse collection of groups. The strategies and techniques can be used with students, families, staff, codependency groups, depression groups, rape and sexual abuse groups, domestic violence groups, and many more. Key Features: Contains practical strategies for group leaders including conflict resolution, suggested ice-breakers, and discussion questions Includes new "Exercise Simulations" for many chapters, including chapters on working with older adults, focus groups, organizations, and communities Includes new feature, "Clinical Leader Challenges," which asks learners to apply theory and concepts to group situations

This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

The third edition of this highly successful manual is not only a revised text but has been extended to meet the interpretive needs of Raman users as well as those working in the IR region. The result is a uniquely practical, comprehensive and detailed source for spectral interpretation. Combining in one volume, the correlation charts and tables for spectral interpretation for these two complementary techniques, this book will be of great benefit to those using or considering either technique. In addition to the new Raman coverage the new edition offers: * new section on macromolecules including synthetic polymers and biomolecules; * expansion of the section on NIR (near infrared region) to reflect recent growth in this area; * extended chapter on inorganic compounds including minerals and glasses; * redrawn and updated charts plus a number of new charts covering data new to this edition. This new edition will be invaluable in every industrial, university, government and hospital laboratory where infrared (FT-IR) and Raman spectral data need to be analysed.

Although many types of school professionals may serve as counselors of students, they may not always be aware of the specific skills effective counseling requires. INDIVIDUAL AND GROUP COUNSELING IN SCHOOLS identifies the elements that constitute good counseling practice, and reviews the theoretical and practical aspects of a variety of specific approaches to counseling in school settings. The volume opens with a review of the factors that influence counseling practices in school settings, the types of referral procedures commonly observed, and the provision of counseling as a direct or indirect service. It then offers an in-depth examination of the different stages of counseling at the individual and group levels. Practical guidance is provided on how to: * identify and recruit students for counseling * establish primary goals and objectives * conduct sessions at the individual or group level * and evaluate the effectiveness of the counseling. For those counseling at the individual level, the book features a detailed account of the counseling process from problem identification and analysis, through intervention, to evaluation, encompassing the types of problems best addressed one on one. Also examined are practical issues of implementation, with useful detailed strategies for dealing with common student problems. The section on group counseling reviews both process and content and outlines key steps to establishing and maintaining successful groups. Crucial process skills and practical leader techniques are described in detail. Finally, fundamental ethical and legal issues are given due consideration, with straightforward guidelines delineated for decision making in the school setting. For all school practitioners-- teachers, guidance counselors, administrators, social workers, school psychologists, and consultants who wish to successfully implement counseling interventions-- INDIVIDUAL AND GROUP COUNSELING IN SCHOOLS provides a thorough yet practically oriented review of effective techniques.

This new, updated edition of the widely cited classic offers a unique blend of theory and practice in a single, easy to read source. The Second Edition of Focus Groups: Theory and Practice provides a systematic treatment of the design, conduct, and interpretation of focus group discussions within the context of social science research and theory.

The Handbook of Group Counseling and Psychotherapy is a comprehensive reference guide for group practitioners and researchers alike. Each chapter reviews the literature and current research as well as offers suggestions for practice in the psycho educational arena, counseling, and therapy groups. The handbook encourages the notion that the field is improved through increased collaboration between researchers and practitioners. Through a review of cutting-edge research and practice, the handbook includes: 48 chapters by renowned experts in group work The history and theory of group work Topics across the lifespan An entire section on multicultural issues A variety of clinical problems and settings Appendices include the Association for Specialists in Group Work Training Standards, Best Practice Standards, and Principles for Diversity-Competent Group Workers The Handbook of Group Counseling and Psychotherapy, the most comprehensive reference devoted to this rapidly growing field, is essential for graduate students, academics, researchers, professionals, and librarians serving the group therapy community.

An authoritative practitioner guide and student text, this book offers clear advice on how to structure and lead cognitive-behavioral therapy (CBT) groups and overcome common challenges that arise. Specific, evidence-based group assessment and treatment protocols are provided for a range of frequently encountered disorders. Emphasizing that a CBT group is more than the sum of its individual members, the authors show how to understand and use group process to optimize outcomes. Up to date, accessible, and highly practical, the book is filled with session outlines, sample dialogues, checklists, troubleshooting tips, and other user-friendly features.

From the reviews: "This book [...] defines the boundaries of the subject now called combinatorial group theory. [...] it is a considerable achievement to have concentrated a survey of the subject into 339 pages. [...] a valuable and welcome addition to the literature, containing many results not previously available in a book. It will undoubtedly become a standard reference." Mathematical Reviews

The book provides new and experienced clinicians with generic models for the development of efficient and effective interactive groups able to deliver a wide variety of treatment options. It offers a comprehensive examination of the potential of group psychotherapy and an appreciation of time management in its utilization.

This comprehensive handbook will be a major resource for all those involved in group work with children and adolescents. Bringing together the skills, practical experience and expertise of a wide range of contributors, it provides comprehensive analysis and practical guidance on all aspects of the subject under five broad headings: theoretical and practical issues, including structures and organisational aspects, conceptual frameworks and evaluation; developmental perspectives, including emotional development, empathy and prosocial development and the historical development of group psychotherapy; tools and techniques, including the use of play and games, art psychotherapy, relaxation, drama and interpretation; subjects and themes, including bereaved children, encopresis, victims and perpetrators of sexual abuse, young offenders and racial identity; and contexts and settings, including group work in schools, residential institutions, mental health services, youth services and therapeutic communities. The book will meet the needs of both beginners in the field, and those with experience.

The extensively revised edition of the best-selling Focus Groups as Qualitative Research continues to provide an excellent guide for researchers across the disciplines. Reflecting the many changes that have occurred in the study of focus groups in recent years, the book begins with an updated introduction offering a discussion of current social science approaches to focus groups. Expanded coverage on the comparison of focus groups to individual interviews follows, and there is more material on the strengths and weaknesses of focus groups. The section on self-contained focus groups has also been expanded. Subsequent chapters have been revised to include examples from social scientists who have established their own practices and methodological research on focus groups. In conclusion, the author offers future directions and references that take into account the explosive growth of focus groups as a research tool for all social scientists.