The Mereon Matrix

The Mereon Matrix

Author: Lynnclaire Dennis

Publisher: Newnes

Published: 2013-05-21

Total Pages: 602

ISBN-13: 0124046886

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Mereon is an approach to the unification of knowledge that relies on whole systems modelling. It is a scientific framework that charts the sequential, emergent growth process of systems. A dynamic structure, Mereon provides insight and a new approach to General Systems Theory and non-linear science. Mereon evolved through a new approach to polyhedral geometry and topology that is related to the dynamics of the polyhedra. It is related to a large number of systems, physical, mathematical, and philosophical. In linking these systems, Mereon provides access to new relationships among them and combines geometric and process thinking. This book provides the fundamentals of such connections for an ongoing search for order, directionality, and diversity that is found in this unity. It is written in clear language that manages to connect diverse disciplines and in doing so, makes a complex system easily accessible and understandable. It will be of interest to mathematicians, geneticists, and all those interested in researching unity in science and astrobiology. Elaborates on several important aspects of General Systems Theory including nonlinearity. Each chapter is self-contained and explained relative to Mereon, providing references to scientific findings that are congruent with or expanded by Mereon. Offers a new way of modelling that can be applied across the sciences.


Introduction to 3-Manifolds

Introduction to 3-Manifolds

Author: Jennifer Schultens

Publisher: American Mathematical Soc.

Published: 2014-05-21

Total Pages: 298

ISBN-13: 1470410206

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This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology. The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex. With about 250 figures and more than 200 exercises, this book can serve as an excellent overview and starting point for the study of 3-manifolds.


Things from the Town

Things from the Town

Author: Dagfinn Skre

Publisher: Aarhus Universitetsforlag

Published: 2011-12-15

Total Pages: 483

ISBN-13: 877124431X

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In this third volume deriving from the 2000-2003 excavations of the Viking town of Kaupang, a range of artefacts is presented along with a discussion of the town's inhabitants: their origins, activities, and trading connections. The main categories of artefact are metal jewellery and ornaments, gemstones, vessel glass, pottery, finds of soapstone, whetstones, and textile-production equipment. The artefacts are described and dated, and their areas of origin discussed. The volume is lavishly illustrated. An exceptional wealth and diversity of artefacts distinguishes sites such as Kaupang from all other types of site in the Viking World. Above all, they reflect the fact that a large population of some 400-600 people lived closely together in the town, engaged in a comprehensive range of production and trade. The stratigraphically distinct layers from the first half of the 9th century allow us to put precise dates to the finds, and to the buildings and evidence of activities associated with them. The finds and structural remains make it possible to identify the activities that took place within the six buildings excavated. We can distinguish between some buildings that were only temporarily in use and others that were permanently occupied. Several of the temporary buildings were used by a variety of craftsmen while those under permanent occupation were houses, and only to a secondary degree, workshops. Throughout the life of the town from c. AD 800-930, trade links with southern Scandinavia, the Baltic, and the Irish Sea would appear to have been strong. In the earliest phases of the town there was considerable trade with the Frisian regions, probably with Dorestad, but this link faded markedly in the second half of the 9th century, probably because of the abandonment of Dorestad. Within what is now Norway, Kaupang seems to have been supplied with goods from the interior of eastern Norway. Goods from around the western coasts of Norway, however, are practically invisible. Finds of personal equipment show that the inhabitants of the town were of diverse origins. Many of them were from southern and western Scandinavia, but there were also Frisians there. One house can be identified as that of a Frisian household engaged in trade. There were also Slavs in Kaupang, although it is not clear whether they were long-term residents.