Growth Groups is a 10 week practical, 'hands-on' training program to develop effective small group ('Growth Group') leaders. A training program useful for all Christian ministry, not just Growth Groups, because it deals with the fundamentals of gospel work.
This book introduces the subject of the growth of groups from scratch, starting with basic definitions and culminating in the seminal results of Gromov and Grigorchuk and more. It is valuable reading for researchers from graduate students up who want to be acquainted with contemporary group theory.
Like nothing else, small groups have the power to change lives. They are the ideal route to discipleship—a place where the rubber of biblical truth meets the road of human relationships. However, church leaders often feel at a loss when it comes to assessing the strengths and weaknesses of group life in a church, and they struggle with understanding and solving the root causes of problems. Group Life resources provide, in ebook format, the practical tools and training resources needed to develop life-changing small group leaders, coaches to shepherd group leaders, and ultimately, a thriving church-wide small group ministry. These resources include the updated and revised versions of the best-selling Leading Life-Changing Small Groups and Coaching Life-Changing Small Group Leaders, the new Building a Life-Changing Small Group Ministry and the supplemental Group Life Training DVD. Appropriate for individual or group study, the books function as manuals and workbooks that teach and allow readers to process and record information as they learn. Downloadable web-based vision clips and supplemental videos in the DVD help readers explore and discuss topics further. Group Life Resources conveniently integrate with the ReGroupTM curriculum, giving trainers the option to use them together. Bill Donahue and Russ Robinson’s Building a Life-Changing Small Group Ministry presents a broad introduction for pastors and point leaders to use as they navigate through the process of establish-ing and developing independent groups or a church-wide ministry of small groups.
This book provides a detailed exposition of a wide range of topics in geometric group theory, inspired by Gromov’s pivotal work in the 1980s. It includes classical theorems on nilpotent groups and solvable groups, a fundamental study of the growth of groups, a detailed look at asymptotic cones, and a discussion of related subjects including filters and ultrafilters, dimension theory, hyperbolic geometry, amenability, the Burnside problem, and random walks on groups. The results are unified under the common theme of Gromov’s theorem, namely that finitely generated groups of polynomial growth are virtually nilpotent. This beautiful result gave birth to a fascinating new area of research which is still active today. The purpose of the book is to collect these naturally related results together in one place, most of which are scattered throughout the literature, some of them appearing here in book form for the first time. In this way, the connections between these topics are revealed, providing a pleasant introduction to geometric group theory based on ideas surrounding Gromov's theorem. The book will be of interest to mature undergraduate and graduate students in mathematics who are familiar with basic group theory and topology, and who wish to learn more about geometric, analytic, and probabilistic aspects of infinite groups.
Church leaders want to know how to make their small groups work. Drawing from the startling success of small groups at The Journey Church, Nelson Searcy and Kerrick Thomas debunk the myths, set the record straight, and show how church leaders can implement a healthy small group ministry that gets the maximum number of people involved and solves many of the important problems facing churches of all sizes. These practical strategies will produce life-changing results.
Analysis on Lie Groups with Polynomial Growth is the first book to present a method for examining the surprising connection between invariant differential operators and almost periodic operators on a suitable nilpotent Lie group. It deals with the theory of second-order, right invariant, elliptic operators on a large class of manifolds: Lie groups with polynomial growth. In systematically developing the analytic and algebraic background on Lie groups with polynomial growth, it is possible to describe the large time behavior for the semigroup generated by a complex second-order operator with the aid of homogenization theory and to present an asymptotic expansion. Further, the text goes beyond the classical homogenization theory by converting an analytical problem into an algebraic one. This work is aimed at graduate students as well as researchers in the above areas. Prerequisites include knowledge of basic results from semigroup theory and Lie group theory.
This collaborative book presents recent trends on the study of sequences, including combinatorics on words and symbolic dynamics, and new interdisciplinary links to group theory and number theory. Other chapters branch out from those areas into subfields of theoretical computer science, such as complexity theory and theory of automata. The book is built around four general themes: number theory and sequences, word combinatorics, normal numbers, and group theory. Those topics are rounded out by investigations into automatic and regular sequences, tilings and theory of computation, discrete dynamical systems, ergodic theory, numeration systems, automaton semigroups, and amenable groups. This volume is intended for use by graduate students or research mathematicians, as well as computer scientists who are working in automata theory and formal language theory. With its organization around unified themes, it would also be appropriate as a supplemental text for graduate level courses.
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.
In his #1 New York Times bestseller Agents of the Apocalypse, noted prophecy expert Dr. David Jeremiah explored the book of Revelation through the lens of its major players. Now, in the much-anticipated follow-up, Agents of Babylon, Dr. Jeremiah examines prophecy through the eyes of the characters in the book of Daniel, explains what the prophecies mean, and helps us understand how these prophetic visions and dreams apply to our lives today. Written in the same highly engaging half dramatization, half Bible teaching format as Agents of the Apocalypse, Agents of Babylon is not only an in-depth exploration of the characters and prophecies contained in the book of Daniel but also a dramatic retelling of Scripture that is sure to bring ancient prophecy to light like never before.