Mathematical Approach to Glass
Mathematical Approach to Glass

Author: Miloš Bohuslav Volf

Publisher: Elsevier Science Limited

Published: 1988

Total Pages: 408

ISBN-13: 9780444989512

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Although completely self-contained, this book forms a useful supplement to Volf's Chemical Approach to Glass (1984) in which the account of the manifestation of the individual elements in oxide glasses was described phenomenologically. Aimed at facilitating active study of glass by means of calculations, this book is directed towards a quantification of the manifestation of elements in glass and interpolation of the chemical and physical dependence of the properties of glass. Thanks to the availability of computer technology and to increasing cooperation between glass scientists and mathematicians, the field of applied mathematics in glass has expanded and is developing into a separate discipline with its own systems and methods, internal classification, and links to other disciplines. The concept of calculations in glassmaking has therefore outgrown its original scope. It has ceased to be a mere collection of formulas and tables and is moving away from the apparently accidental peculiarities related to the nonstoichiometry of glass to an order dictated by the periodical system of elements.

Mathematical Simulation in Glass Technology
Mathematical Simulation in Glass Technology

Author: Dieter Krause

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 484

ISBN-13: 3642559662

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This is the first book on mathematical simulation on glass technology, and covers all production steps of special glass manufacturing. The enclosed CD-ROM shows 27 simulations of different aspects, such as surprising details of the pressing and casting process.

Technical Approach to Glass
Technical Approach to Glass

Author: Miloš Bohuslav Volf

Publisher: Elsevier Publishing Company

Published: 1990

Total Pages: 400

ISBN-13:

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Hardbound. The present book is the third independent part of the trilogy - Chemical Approach to Glass, Mathematical Approach to Glass, Technical Approach to Glass. This third independent volume shows how the findings from the two previous volumes of the set are projected into the field of technical commercial glasses. Technical glasses are defined here as glasses intended for technical use in laboratories, industrial plants, electrical engineering and the health service. In contrast to container glasses or glasses for the building industry, they are characterized by extensive standardization of their technical parameters. Additionally they have the feature of being mostly mass-produced commercially.The author's 40 years of experience in Czechoslovak glassmaking, working in the field of technical glasses, is encapsulated in this volume in which the theory and practical applicability are nicely balanced.

Mathematical Models in the Manufacturing of Glass
Mathematical Models in the Manufacturing of Glass

Author: Angiolo Farina

Publisher: Springer

Published: 2010-11-27

Total Pages: 245

ISBN-13: 3642159672

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This volume presents a review of advanced technological problems in the glass industry and of the mathematics involved. It is amazing that such a seemingly small research area is extremely rich and calls for an impressively large variety of mathematical methods, including numerical simulations of considerable complexity. The problems treated here are very typical of the field of glass manufacturing and cover a large spectrum of complementary subjects: injection molding by various techniques, radiative heat transfer in glass, nonisothermal flows and fibre spinning. The book can certainly be useful not only to applied mathematicians, but also to physicists and engineers, who can find in it an overview of the most advanced models and methods.

Spin Glasses and Complexity
Spin Glasses and Complexity

Author: Daniel L. Stein

Publisher: Princeton University Press

Published: 2013-01-15

Total Pages: 336

ISBN-13: 0691147337

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This primer builds the theory of spin glasses, starting with the real physical systems and experiments that inspired the theory.

Mathematical Approaches to Neural Networks
Mathematical Approaches to Neural Networks

Author: J.G. Taylor

Publisher: Elsevier

Published: 1993-10-27

Total Pages: 391

ISBN-13: 0080887392

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The subject of Neural Networks is being seen to be coming of age, after its initial inception 50 years ago in the seminal work of McCulloch and Pitts. It is proving to be valuable in a wide range of academic disciplines and in important applications in industrial and business tasks. The progress being made in each approach is considerable. Nevertheless, both stand in need of a theoretical framework of explanation to underpin their usage and to allow the progress being made to be put on a firmer footing. This book aims to strengthen the foundations in its presentation of mathematical approaches to neural networks. It is through these that a suitable explanatory framework is expected to be found. The approaches span a broad range, from single neuron details to numerical analysis, functional analysis and dynamical systems theory. Each of these avenues provides its own insights into the way neural networks can be understood, both for artificial ones and simplified simulations. As a whole, the publication underlines the importance of the ever-deepening mathematical understanding of neural networks.

Theory of Simple Glasses
Theory of Simple Glasses

Author: Giorgio Parisi

Publisher: Cambridge University Press

Published: 2020-01-09

Total Pages: 341

ISBN-13: 1108126103

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This pedagogical and self-contained text describes the modern mean field theory of simple structural glasses. The book begins with a thorough explanation of infinite-dimensional models in statistical physics, before reviewing the key elements of the thermodynamic theory of liquids and the dynamical properties of liquids and glasses. The central feature of the mean field theory of disordered systems, the existence of a large multiplicity of metastable states, is then introduced. The replica method is then covered, before the final chapters describe important, advanced topics such as Gardner transitions, complexity, packing spheres in large dimensions, the jamming transition, and the rheology of glass. Presenting the theory in a clear and pedagogical style, this is an excellent resource for researchers and graduate students working in condensed matter physics and statistical mechanics.

Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years
Spin Glass Theory And Far Beyond: Replica Symmetry Breaking After 40 Years

Author: Patrick Charbonneau

Publisher: World Scientific

Published: 2023-07-26

Total Pages: 740

ISBN-13: 9811273936

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About sixty years ago, the anomalous magnetic response of certain magnetic alloys drew the attention of theoretical physicists. It soon became clear that understanding these systems, now called spin glasses, would give rise to a new branch of statistical physics. As physical materials, spin glasses were found to be as useless as they were exotic. They have nevertheless been recognized as paradigmatic examples of complex systems with applications to problems as diverse as neural networks, amorphous solids, biological molecules, social and economic interactions, information theory and constraint satisfaction problems.This book presents an encyclopaedic overview of the broad range of these applications. More than 30 contributions are compiled, written by many of the leading researchers who have contributed to these developments over the last few decades. Some timely and cutting-edge applications are also discussed. This collection serves well as an introduction and summary of disordered and glassy systems for advanced undergraduates, graduate students and practitioners interested in the topic.