Introductory Map Theory
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An Introduction To The Theory Of Wave Maps And Related Geometric Problems
Author: Dan-andrei Geba
language: en
Publisher: World Scientific Publishing Company
Release Date: 2016-08-18
The wave maps system is one of the most beautiful and challenging nonlinear hyperbolic systems, which has captured the attention of mathematicians for more than thirty years now. In the study of its various issues, such as the well-posedness theory, the formation of singularities, and the stability of the solitons, in order to obtain optimal results, one has to use intricate tools coming not only from analysis, but also from geometry and topology. Moreover, the wave maps system is nothing other than the Euler-Lagrange system for the nonlinear sigma model, which is one of the fundamental problems in classical field theory. One of the goals of our book is to give an up-to-date and almost self-contained overview of the main regularity results proved for wave maps. Another one is to introduce, to a wide mathematical audience, physically motivated generalizations of the wave maps system (e.g., the Skyrme model), which are extremely interesting and difficult in their own right.
Introduction to Concept Mapping in Nursing
Author: Patricia Schmehl
language: en
Publisher: Jones & Bartlett Publishers
Release Date: 2014
Introduction to Concept Mapping in Nursing provides the foundation for what a concept map is and how to create a map that applies theory to practice. This excellent resource addresses how students will think about applying nursing theory as it relates to concept mapping. This book is unique because it focuses on a broad application of concept mapping, and ties concept mapping closely to critical thinking skills. Furthermore, this book will prepare nursing students to learn how to map out care plans for patients as they talk with patients.Key Features & Benefits* Demonstrates how students can think through every aspect of care by using compare and contrast tactics, critical thinking skills, and experiences a nursing student may encounter * Includes thought-provoking questions to guide the reader through the text * Provides a section on nursing theory complete with exercises and rationales that include concept maps so that students can understand how theory is applied to practice* Written for students with various learning styles, so a broad range of learning activities are included to help readers understand the material
An Introduction to Module Theory
Author: Ibrahim Assem
language: en
Publisher: Oxford University Press
Release Date: 2024-11-21
Module theory is a fundamental area of algebra, taught in most universities at the graduate level. This textbook, written by two experienced teachers and researchers in the area, is based on courses given in their respective universities over the last thirty years. It is an accessible and modern account of module theory, meant as a textbook for graduate or advanced undergraduate students, though it can also be used for self-study. It is aimed at students in algebra, or students who need algebraic tools in their work. Following the recent trends in the area, the general approach stresses from the start the use of categorical and homological techniques. The book includes self-contained introductions to category theory and homological algebra with applications to Module theory, and also contains an introduction to representations of quivers. It includes a very large number of examples of all kinds worked out in detail, mostly of abelian groups, modules over matrix algebras, polynomial algebras, or algebras given by bound quivers. In order to help visualise and analyse examples, it includes many figures. Each section is followed by exercises of all levels of difficulty, both computational and theoretical, with hints provided to some of them.