This book is concerned with the generalizations of Sylow theorems and the related topics of formations and the fitting of classes to locally finite groups. It also contains details of Sunkov's and Belyaev'ss results on locally finite groups with min-p for all primes p. This is the first time many of these topics have appeared in book form. The body of work here is fairly complete.
A reader-friendly introduction to modern algebra with important examples from various areas of mathematics Featuring a clear and concise approach, An Introduction to Essential Algebraic Structures presents an integrated approach to basic concepts of modern algebra and highlights topics that play a central role in various branches of mathematics. The authors discuss key topics of abstract and modern algebra including sets, number systems, groups, rings, and fields. The book begins with an exposition of the elements of set theory and moves on to cover the main ideas and branches of abstract algebra. In addition, the book includes: Numerous examples throughout to deepen readers’ knowledge of the presented material An exercise set after each chapter section in an effort to build a deeper understanding of the subject and improve knowledge retention Hints and answers to select exercises at the end of the book A supplementary website with an Instructors Solutions manual An Introduction to Essential Algebraic Structures is an excellent textbook for introductory courses in abstract algebra as well as an ideal reference for anyone who would like to be more familiar with the basic topics of abstract algebra.
Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.
Martyn Hammersley′s provocative new text interrogates the complex relationship between research, policymaking and practice, against the background of the evidence-based practice movement. Addressing a series of probing questions, this book reflects on the challenge posed by the idea that social research can directly serve policymaking and practice. Key questions explored include: - Is scientific research evidence-based? - What counts as evidence for evidence-based practice? - Is social measurement possible, and is it necessary? - What are the criteria by which qualitative research should be judged? The book also discusses the case for action research, the nature of systematic reviews, proposals for interpretive reviews, and the process of qualitative synthesis. Highly readable and undeniably relevant, this book is a valuable resource for both academics and professionals involved with research.
The Habsburg Empire reached at various times across most of Europe and the New World. At all the critical moments of European history it is there - confronting Luther, launching the Thirty Years War, repelling the Ottomans, and taking on Napoleon. Martin Rady introduces the fascinating and colourful history of the Habsburgs.
The tide is important to Earth's climate, the biological productivity of our seas, and our hunt for renewable energy sources. It is also thought to have played a role in the evolution of life on Earth. This book explains the nature and cause of the tide, its observation and prediction, unusual tides, and their relevance to us.
The Development of the Mechanics’ Institute Movement in Britain and Beyond questions the prevailing view that mechanics’ institutes made little contribution to adult working-class education from their foundation in the 1820s to 1890. The book traces the historical development of several mechanics’ institutes across Britain and reveals that many institutes supported both male and female working-class membership before state intervention at the end of the nineteenth century resulted in the development of further education for all. This book presents evidence to suggest that the movement remained active and continued to expand until the end of the nineteenth century. Drawing on historical accounts, Walker describes the developments which shaped the movement and emphasises the institutes’ provision for scientific and technical education. He also considers the impact that the British movement had on the overseas development of mechanics’ institutes – particularly in Canada, America, Australia and New Zealand. The book concludes with a discussion of the legacy of the movement and its contribution to twentieth-century adult education. The Development of the Mechanics’ Institute Movement advances the argument that the movement made a substantial contribution to adult education for the working classes and provided a firm foundation for further education in Britain and beyond. It will appeal to academics, researchers and postgraduate students in the areas of education, history and sociology, as well as the philosophy of education, technical and vocational education, and post-compulsory education.
Neolithic Causewayed enclosures are amongst the oldest, rarest and most enigmatic of the ancient monuments found in Europe. First recognised as a distinct type in the 1920s, sixty-nine certain or probable examples have now been identified in the British Isles. As a class, they are of outstanding importance, for while their precise functions remain unclear, they represent the first non-funerary monuments and the earliest instance of the enclosure of open space. This book presents an overview of the findings of a systematic national programme of research, carried out by the RCHME, now merged with English Heritage. Every certain, probable and suggested causewayed enclosure in England has been investigated through integrated aerial and field survey. Specialist reconnaissance flying has been undertaken, along with the thorough analysis of aerial photographs taken from the 1920s onwards. This has greatly increased the number of sites known, turning the spotlight onto many that have received little or no archaeological attention in the past. The aerial surveys now available offer a new basis for improved understanding. Analytical field investigations of the few causewayed enclosures that are well preserved as earthworks have also squeezed fresh information out of even those long familiar to archaeologists. Far from merely ‘dotting the i’s and crossing the t’s’ of past fieldworkers, these detailed surveys have led to the rejection of some long-held theories and the proposal of new interpretations. This book significantly advances the understanding of causewayed enclosures both as individual monuments and as a class. It is a major contribution to the understanding of the British Neolithic, and to ‘landscape archaeology’ more generally.
The Handbook of Orthodontics offers a concise and accessible overview of the scientific and clinical basis of orthodontics.This popular textbook explores the concepts of occlusion and malocclusion, craniofacial development, postnatal growth and development of the dentition. It takes the reader through the principles of patient examination, orthodontic diagnosis and treatment planning - with detailed chapters on the management of malocclusion, dentofacial orthopaedics, fixed appliances, skeletal anchorage, aligner systems and orthognathic surgery. There is a strong emphasis on evidence-based medicine throughout, with a dedicated chapter outlining the theoretical basis of good clinical research and critical appraisal, with summaries of the latest clinical evidence throughout the book.A clear writing style and the inclusion of over 500 high-quality illustrations make the Handbook a defining text for postgraduate students training for specialist exams and dental undergraduates wanting to learn more about clinical orthodontics. - Covers the theoretical basis of orthodontics in detail, including definitive chapters on craniofacial development, postnatal growth, development of the dentition and craniofacial syndromes. - Full coverage of clinical orthodontics including examination, diagnosis and the use of contemporary removable, fixed and clear aligner appliance systems. - Evidence-based updates are present throughout – ideal for students wanting a comprehensive overview of the latest clinical research. - Controversies and areas of special interest are covered in standalone text boxes. - Consolidated bibliography with short summaries of important papers so you can easily keep up to date. - More than 500 illustrations and photographs to help explain and illustrate specific points. - Easy to read and navigate – helps you to understand the complex concepts. - Small enough to carry around with you as a quick reference guide. - New chapters on Dentofacial orthopaedics, Skeletal anchorage and Clear aligner systems. - Over 150 new figures
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