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.

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 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.

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.

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.

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.

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.

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincaré, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups—actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

S2Public concern over the adverse visual impact of clearcutting has heightened interest in developing and testing alternative regeneration practices for central Appalachian hardwoods. When applied properly, group selection, which entails making small openings within a timber stand at regular intervals, can meet aesthetic goals while providing suitable light conditions to reproduce shade-intolerant species. Volume control and residual stand density are used to regulate periodic cuts, which include volume removed to create openings plus volume removed between openings to improve the quality and distribution of the residual stand. In central Appalachian hardwoods, openings must have a minimum size of 0.4 acre; all stems 1.0 inch d.b.h. and larger are cut to reproduce desirable shade-intolerant species. Maximum opening size is based on aesthetic requirements or other management constraints. Where reproduction of shade-intolerant species is acceptable, openings can be as small as a space occupied by a few trees. Openings should be located using the worst first approach to give the growing space occupied by mature trees or risky trees to faster growing, desirable regeneration. The residual stand between openings should be improved by cutting poor quality or high-risk trees. The recommended residual basal area in sawtimber-size trees (11.0 inches d.b.h. and larger) is related to northern red oak site index (SI): 70 to 85 ft2/acre for SI 80.55 to 70 ft2/acre for SI 70, and 40 to 55 ft2/acre for SI 80. These field-tested methods can help forest managers initiate group selection in second-growth Appalachian hardwoods. Guidelines are presented for computing the cut, determining size, location, and number of openings, and marking the stand.S3.

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.

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.

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.