Examples of Groups
Author : Michael Weinstein
Publisher :
Page : 464 pages
File Size : 49,69 MB
Release : 2000
Category : Mathematics
ISBN :
Basic Notions of Algebra
Author : Igor R. Shafarevich
Publisher : Springer Science & Business Media
Page : 272 pages
File Size : 16,25 MB
Release : 2005-04-13
Category : Mathematics
ISBN : 9783540251774
Book Description
Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the fields studied in every university maths course, through Lie groups to cohomology and category theory, the author shows how the origins of each concept can be related to attempts to model phenomena in physics or in other branches of mathematics. Required reading for mathematicians, from beginners to experts.
Kleinian Groups and Uniformization in Examples and Problems
Author : Samuil Le_bovich Krushkal_
Publisher : American Mathematical Soc.
Page : 214 pages
File Size : 12,36 MB
Release : 1986-12-31
Category : Mathematics
ISBN : 9780821898123
Book Description
Aimed at researchers, graduate students and undergraduates alike, this book presents a unified exposition of all the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. The past 20 years have seen a rejuvenation of the field, due to the development of powerful new methods in topology, the theory of functions of several complex variables, and the theory of quasiconformal mappings. Thus this new book should provide a valuable resource, listing the basic facts regarding Kleinian groups and serving as a general guide to the primary literature, particularly the Russian literature in the field. In addition, the book includes a large number of examples, problems, and unsolved problems, many of them presented for the first time.
Self-Similar Groups
Author : Volodymyr Nekrashevych
Publisher : American Mathematical Soc.
Page : 248 pages
File Size : 31,39 MB
Release : 2005
Category : Mathematics
ISBN : 0821838318
Book Description
Self-similar groups (groups generated by automata) initially appeared as examples of groups that are easy to define but have exotic properties like nontrivial torsion, intermediate growth, etc. This book studies the self-similarity phenomenon in group theory and shows its intimate relationship with dynamical systems and more classical self-similar structures, such as fractals, Julia sets, and self-affine tilings. This connection is established through the central topics of the book, which are the notions of the iterated monodromy group and limit space. A wide variety of examples and different applications of self-similar groups to dynamical systems and vice versa are discussed. In particular, it is shown that Julia sets can be reconstructed from the respective iterated monodromy groups and that groups with exotic properties can appear not just as isolated examples, but as naturally defined iterated monodromy groups of rational functions. The book offers important, new mathematics that will open new avenues of research in group theory and dynamical systems. It is intended to be accessible to a wide readership of professional mathematicians.
The Dynamics of Ethnic Competition and Conflict
Author : Susan Olzak
Publisher : Stanford University Press
Page : 288 pages
File Size : 12,88 MB
Release : 1994-07-01
Category : Social Science
ISBN : 0804723370
Book Description
This study of ethnic violence in the United States from 1877 to 1914 reveals that not all ethnic groups were equally likely to be victims of violence; the author seeks the reasons for this historical record. This analysis of the causes of urban racial and ethnic strife in large American cities at the turn of the century should comprise important empirical and theoretical reference material for social scientists and historians alike.
Dietary Reference Intakes
Author : Institute of Medicine
Publisher : National Academies Press
Page : 255 pages
File Size : 50,19 MB
Release : 2003-10-07
Category : Medical
ISBN : 0309168538
Book Description
The Dietary Reference Intakes (DRIs) are quantitative estimates of nutrient intakes to be used for planning and assessing diets for apparently healthy people. This volume is the second of two reports in the DRI series aimed at providing specific guidance on the appropriate uses of the DRIs. The first report provided guidance on appropriate methods for using DRIs in dietary assessment. This volume builds on the statistical foundations of the assessment report to provide specific guidance on how to use the appropriate DRIs in planning diets for individuals and for groups. Dietary planning, whether for an individual or a group, involves developing a diet that is nutritionally adequate without being excessive. The planning goal for individuals is to achieve recommended and adequate nutrient intakes using food-based guides. For group planning, the report presents a new approach based on considering the entire distribution of usual nutrient intakes rather than focusing on the mean intake of the group. The report stresses that dietary planning using the DRIs is a cyclical activity that involves assessment, planning, implementation, and reassessment. Nutrition and public health researchers, dietitians and nutritionists responsible for the education of the next generation of practitioners, and government professionals involved in the development and implementation of national diet and health assessments, public education efforts and food assistance programs will find this volume indispensable for setting intake goals for individuals and groups.
Ansible Linux Users & Groups By Examples
Author : Luca Berton
Publisher : Luca Berton
Page : 222 pages
File Size : 49,18 MB
Release :
Category : Computers
ISBN :
Book Description
Learn the Ansible automation technology with some real-life examples. Every successful IT department needs automation nowadays for bare metal servers, virtual machines, could, containers, and edge computing. Automate your IT journey with Ansible automation technology. I'm going to teach you example by example how to manage users and groups in Linux and macOS operation systems are the most common System Administrator tasks. Each of the 20+ lessons summarizes a specific scenario about user and groups management: creating a user, creating a new pair of a suitable SSH key and a home directory, changing a password and specifying the encryption cipher, removing the home directory and the mailbox, or assigning a special `nologin` shell for temporarily disabled users. Another user scenario that happens very often is when you need only to temporarily disable and enable a user. Another useful administrator tool is group management to assign permission to resources to a bunch of users. You could easily customize the example code with your username and use it in your everyday journey without any additional effort. There are some Ansible codes usable in all the Linux systems, battle-tested for RedHat-like and Debian-like systems. Are you ready to automate your day with Ansible? Examples in the book are tested with the latest version of Ansible 2.9+ and Ansible Core 2.11+.
Amenability of Discrete Groups by Examples
Author : Kate Juschenko
Publisher : American Mathematical Society
Page : 180 pages
File Size : 23,11 MB
Release : 2022-06-30
Category : Mathematics
ISBN : 1470470322
Book Description
The main topic of the book is amenable groups, i.e., groups on which there exist invariant finitely additive measures. It was discovered that the existence or non-existence of amenability is responsible for many interesting phenomena such as, e.g., the Banach-Tarski Paradox about breaking a sphere into two spheres of the same radius. Since then, amenability has been actively studied and a number of different approaches resulted in many examples of amenable and non-amenable groups. In the book, the author puts together main approaches to study amenability. A novel feature of the book is that the exposition of the material starts with examples which introduce a method rather than illustrating it. This allows the reader to quickly move on to meaningful material without learning and remembering a lot of additional definitions and preparatory results; those are presented after analyzing the main examples. The techniques that are used for proving amenability in this book are mainly a combination of analytic and probabilistic tools with geometric group theory.
Permutation Groups
Author : John D. Dixon
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 50,59 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461207312
Book Description
Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.
Definitive XML Schema
Author : Priscilla Walmsley
Publisher : Pearson Education
Page : 499 pages
File Size : 36,8 MB
Release : 2001-12-07
Category : Computers
ISBN : 0321629930
Book Description
The authoritative XML Schema reference and tutorial! Leverage the full power of XML Schema! In-depth coverage of the approved W3C Recommendation Schema design–practical and thorough Transition help for experienced DTD developers Authoritative! By Priscilla Walmsley–a member of the W3C XML Schema Working Group To leverage the full power of XML, companies need shared vocabularies to base their documents and scripts upon. XML Schema makes it possible to create those shared vocabularies-and Definitive XML Schema is the authoritative guide to the standard! Written by Priscilla Walmsley, a member of the W3C working group that created XML Schema, this book explains the W3C Recommendation with unprecedented insight and clarity–and introduces practical techniques for writing schemas to support any B2B, Web service, or content processing application. Coverage includes: How XML Schema provides a rigorous, complete standard for modeling XML document structure, content, and datatypes Working with schemas: Schema composition, instance validation, documentation, namespaces, and more XML Schema building blocks: elements, attributes, and types Advanced techniques: type derivation, model groups, substitution groups, identity constraints, redefinition, and much more An in-depth primer on effective schema design, including naming, document structure, and extensibility considerations Transition guidance for experienced DTD developers Definitive XML Schema brings together expert guidance for schema design, superior approaches to schema development, and the most systematic XML Schema reference on the market. Whether you're a developer, architect, or content specialist, it's the only XML Schema resource you need! "XML Schema is an incredibly powerful-and complex-document schema language, with such new capabilities as strong typing, modularity, inheritance, and identity constraints. This book guides you through the complexity so you can confidently use that power for your own projects." –Charles F. Goldfarb
