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This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and further necessary Topology are given in the book. The exposition is intended to enable an interested reader to learn the basics of the subject. Emphasis is placed on covering the theory in an algebraic way. The work includes quite a number of worked examples. The latter part of the book is devoted to previously unpublished material.

Noeuds, théorie des. --- Tresses, théorie des. --- Manifolds. --- Knot theory. --- Braid theory. --- Théorie des noeuds --- Tresses, Théorie des --- Knot theory --- Braid theory --- 515.16 --- Knots (Topology) --- Low-dimensional topology --- Braids, Theory of --- Theory of braids --- Topology of manifolds --- 515.16 Topology of manifolds

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The Analyze, Design, Develop, Implement, and Evaluate (ADDIE) process is used to introduce an approach to instruction design that has a proven record of success. Instructional Design: The ADDIE Approach is intended to serve as an overview of the ADDIE concept. The primary rationale for this book is to respond to the need for an instruction design primer that addresses the current proliferation of complex educational development models, particularly non-traditional approaches to learning, multimedia development and online learning environments. Many entry level instructional designers and students enrolled in related academic programs indicate they are better prepared to accomplish the challenging work of creating effective training and education materials after they have a thorough understanding of the ADDIE principles. However, a survey of instructional development applications indicate that the overwhelming majority of instructional design models are based on ADDIE, often do not present the ADDIE origins as part of their content, and are poorly applied by people unfamiliar with the ADDIE paradigm. The purpose of this book is to focus on fundamental ADDIE principles, written with a minimum of professional jargon. This is not an attempt to debate scholars or other educational professionals on the finer points of instructional design, however, the book's content is based on sound doctrine and supported by valid empirical research. The only bias toward the topic is that generic terms will be used as often as possible in order to make it easy for the reader to apply the concepts in the book to other specific situations.

Instructional systems --- Curriculum planning. --- Design. --- Curriculum development --- Education --- Planning --- Instructional design --- Curricula --- Design --- Knot theory. --- Link theory. --- Manifolds (Mathematics). --- Topology --- 515.1 --- 515.1 Topology --- Knot theory --- Link theory --- Manifolds (Mathematics) --- Théorie des noeuds --- Variétés (Mathématiques) --- Education. --- Business. --- Educational Technology. --- Learning & Instruction. --- Business and Management, general. --- Education, general. --- Trade --- Economics --- Management --- Commerce --- Industrial management --- Children --- Education, Primitive --- Education of children --- Human resource development --- Instruction --- Pedagogy --- Schooling --- Students --- Youth --- Civilization --- Learning and scholarship --- Mental discipline --- Schools --- Teaching --- Training --- Educational innovations --- Learning systems --- Educational technology --- Educational technology. --- Learning. --- Instruction. --- Management science. --- Quantitative business analysis --- Problem solving --- Operations research --- Statistical decision --- Learning process --- Comprehension --- Instructional technology --- Technology in education --- Technology --- Aids and devices --- Topologie algébrique --- Topologie algébrique --- Variétés topologiques