The meditative prayer practices known as Hesychasm and the Jesus Prayer have played an important role in the history of Eastern Orthodox Christianity. This book explores how these prayer practices have spread from a primarily monastic setting within Orthodox Christianity, into general Orthodox Christian usage, and finally into wider contemporary Western culture. As a result of this gradual geographic shift from a local to a global setting, caused mainly by immigration and dissemination of related texts, there has been a parallel shift of interpretation causing disagreement. By analyzing ongoing conversations on the practices, this book shows how such disagreements are due to differences in the way groups understand the ideas of authority and tradition. These fundamental ideas lie beneath much of the current discussion on particular aspects of the practices and also contribute to the wider academic debate over the globalization and appropriation of religious traditions.

The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.

The main object of study for this book is geometry, with group theory providing an appropriate language in which to express geometrical ideas. Key features include: An overview of the preliminaries from group theory and geometry Coverage of the discrete subgroups of the Euclidean group A clear and complete derivation and classification of the 17 plane crystallographic groups Tessellations of various spaces (they are constructed, described and classified) A brief introduction to hyperbolic geometry. Each chapter contains a number of exercises, most with solutions, and suggestions for background, alternative and further reading. The author's accessible and down-to-earth approach make this an ideal introduction for readers in the second or third year of a mathematics undergraduate course. It is also recommended for mechanical engineers, architects, physicists and crystallographers needing an understanding of 3-dimensional geometry, symmetry and trigonometry.

Emphasizing computational techniques, this book provides an accessible and lucid introduction to combinatorial group theory. Rigorous proofs of all theorems and a light, informal style make Presentations of Groups a self-contained combinatorics class. Numerous and diverse exercises provide readers with a thorough overview of the subject. While catering to combinatorics beginners, this book also includes the frontiers of research, and explains software packages such as GAP, MAGMA, and QUOTPIC. This new edition has been revised throughout, including new exercises and an additional chapter on proving certain groups are infinite. Aimed at advanced undergraduates, this book will be a resource for graduate students and researchers.

These notes comprise an introduction to combinatorial group theory and represent an extensive revision of the author's earlier book in this series, which arose from lectures to final-year undergraduates and first-year graduates at the University of Nottingham. Many new examples and exercises have been added and the treatment of a number of topics has been improved and expanded. In addition, there are new chapters on the triangle groups, small cancellation theory and groups from topology. The connections between the theory of group presentations and other areas of mathematics are emphasized throughout. The book can be used as a text for beginning research students and, for specialists in other fields, serves as an introduction both to the subject and to more advanced treatises.

In mathematics we are interested in why a particular formula is true. Intuition and statistical evidence are insufficient, so we need to construct a formal logical proof. The purpose of this book is to describe why such proofs are important, what they are made of, how to recognize valid ones, how to distinguish different kinds, and how to construct them. This book is written for 1st year students with no previous experience of formulating proofs. Dave Johnson has drawn from his considerable experience to provide a text that concentrates on the most important elements of the subject using clear, simple explanations that require no background knowledge of logic. It gives many useful examples and problems, many with fully-worked solutions at the end of the book. In addition to a comprehensive index, there is also a useful `Dramatis Personae` an index to the many symbols introduced in the text, most of which will be new to students and which will be used throughout their degree programme.

Two young bears go on a quest to uncover an ancient secret.

What began in February 2013 in Honour of Kings as a simple premise became confirmed by current world events. Events of Biblical proportions are being fulfilled before our very eyes. Are you ready? Learn how a working knowledge of the Hebrew aleph-bet will remarkably improve your understanding of the text Honour of Kings Special Edition contains books one and two of the series. Book one explains code basics while book two explains what events transpired after book one was published confirming that end time events are indeed now events. The book then concludes with a simple Bible study showing where and how Jesus explains the entire book of Revelation in advance.

This book is an examination of the Infinity Bible Code first introduced by Al Neal in 1998. It shows how acquiring a working knowledge of the Hebrew aleph-bet will remarkably improve one's understanding of the text. Everything the reader needs to search the scriptures and study the code for themselves is contained in this book. No computer software required as in the study of ELS or Equidistant Letter Sequencing examined by others such as Micheal Drosnin. In this book they will discover: a. How numbers may be a key to understanding the Bible as well as coming events. b. How the very structure of the Bible may be a time clue as to when Christ returns for his church. The reader will also find world events like the Wright Brothers, The Dust Bowl years, The Kennedy Assassination all hidden in the scriptures down to the very year they occurred. This code was once introduced by Al Neal during an interview as, "The only Bible Code that can be taught by logic in a college classroom."

The meditative prayer practices known as Hesychasm and the Jesus Prayer have played an important role in the history of Eastern Orthodox Christianity. This book explores how these prayer practices have spread from a primarily monastic setting within Orthodox Christianity, into general Orthodox Christian usage, and finally into wider contemporary Western culture. As a result of this gradual geographic shift from a local to a global setting, caused mainly by immigration and dissemination of related texts, there has been a parallel shift of interpretation causing disagreement. By analyzing ongoing conversations on the practices, this book shows how such disagreements are due to differences in the way groups understand the ideas of authority and tradition. These fundamental ideas lie beneath much of the current discussion on particular aspects of the practices and also contribute to the wider academic debate over the globalization and appropriation of religious traditions.

Writing in a simple language, the author acquaints Asian readers with the traditional ideas and values that have shaped the culture of the Western world over centuries.