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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.