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Author: Magnus J. Wenninger
Publisher: Courier Corporation
ISBN: 0486143651
Category : Mathematics
Languages : en
Pages : 183
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Book Description
Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. 1979 edition.
Author: Magnus J. Wenninger
Publisher: Courier Corporation
ISBN: 0486143651
Category : Mathematics
Languages : en
Pages : 183
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Book Description
Well-illustrated, practical approach to creating star-faced spherical forms that can serve as basic structures for geodesic domes. Complete instructions for making models from circular bands of paper with just a ruler and compass. 1979 edition.
Author: Hans-Peter Eckle
Publisher:
ISBN: 0199678839
Category : Science
Languages : en
Pages : 732
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Book Description
The book introduces tools with which models of quantum matter are built. The most important technique, the Bethe ansatz, is developed in detail to perform exact calculations of the physical properties of quantum matter.
Author: Walter F. Wreszinski
Publisher: World Scientific
ISBN: 9789810214166
Category : Science
Languages : en
Pages : 250
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Book Description
At present, existing literature on this subject matter can only be said to relate in minor areas to this work. Important concepts in statistical mechanics, such as frustration, localization, Lifshitz and Griffiths singularities, multicritical points, modulated phases, superselection sectors, spontaneous symmetry breaking and the Haldane phase, strange attractors and the Hausdorff dimension, and many others, are illustrated by exactly soluble lattice models. There are examples of simple lattice models which are shown to give rise to spectacular phase diagrams, with multicritical points and sequences of modulated phases. The models are chosen to enable a concise exposition as well as a connection with real physical systems (as dilute antiferromagnets, spin glasses and modulated magnets). A brief introduction to the properties of dynamical systems, an overview of conformal invariance and the Bethe Ansatz and a discussion of some general methods of statistical mechanics related to spontaneous symmetry breaking, are included in the appendices. A number of exercises are included in the text to help the comprehension of the most representative issues.
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Publisher:
ISBN:
Category : Geology
Languages : en
Pages : 454
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Book Description
Author: Ruffini Remo
Publisher: World Scientific
ISBN: 9814550000
Category :
Languages : en
Pages : 2024
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Book Description
Since 1975, the triennial Marcel Grossmann Meetings have been organized in order to provide opportunities for discussing recent advances in gravitation, general relativity and relativisitic field theories, emphasizing mathematical foundations, physical predictions, and experimental tests.The proceedings of the Seventh Marcel Grossmann Meeting include the invited papers given at the plenary sessions, the summaries of the parallel sessions, the contributed papers presented at the parallel sessions, and the evening public lectures.The authors of these papers discuss many of the recent theoretical, observational, and experimental developments that have significant implications for the fields of physics, cosmology, and relativistic astrophysics.
Author: Rafael A Barrio
Publisher: World Scientific
ISBN: 1783260351
Category : Science
Languages : en
Pages : 416
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Book Description
This indispensable book is a compilation of invited talks delivered at the symposium, “Current Topics in Physics” held in Mexico City in June 2003, to celebrate the 75th birthday of Professor Sir Roger Elliott. The contributions have been prepared by research associates, former students, post-doctoral fellows and colleagues of Professor Elliott, many of them leading scientists — as Sir Roger himself — in important research institutes around the world. The book gives a very timely and comprehensive overview of various key areas of modern condensed matter and statistical physics. 19 original contributions are included, grouped in three main areas: disorder and dynamical systems, structures and glasses, electrical and magnetic properties.The contributions are by many of the foremost researchers in the field of condensed matter and statistical physics. In particular, contributions by such prominent scientists as M E Fisher, A A Maradudin, M F Thorpe, M Balkanski, T Fujiwara, and of course Sir Roger Elliott himself make this book a rewarding read.
Author: ?ordan Brankov
Publisher: World Scientific
ISBN: 9789810239251
Category : Science
Languages : en
Pages : 468
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Book Description
The aim of this book is to familiarise the reader with the rich collection of ideas, methods and results available in the theory of critical phenomena in systems with confined geometry. The existence of universal features of the finite-size effects arising due to highly correlated classical or quantum fluctuations is explained by the finite-size scaling theory. This theory (1) offers an interpretation of experimental results on finite-size effects in real systems; (2) gives the most reliable tool for extrapolation to the thermodynamic limit of data obtained by computer simulations; (3) reveals the intimate mechanism of how the critical singularities build up in the thermodynamic limit; and (4) can be fruitfully used to explain the low-temperature behaviour of quantum critical systems. The exposition is given in a self-contained form which presumes the reader's knowledge only in the framework of standard courses on the theory of phase transitions and critical phenomena. The instructive role of simple models, both classical and quantum, is demonstrated by putting the accent on the derivation of rigorous and exact analytical results.
Author: Thomas R. Knösche
Publisher: Springer Nature
ISBN: 3030749185
Category : Medical
Languages : en
Pages : 429
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Book Description
This textbook provides a comprehensive and didactic introduction from the basics to the current state of the art in the field of EEG/MEG source reconstruction. Reconstructing the generators or sources of electroencephalographic and magnetoencephalographic (EEG/MEG) signals is an important problem in basic neuroscience as well as clinical research and practice. Over the past few decades, an entire theory, together with a whole collection of algorithms and techniques, has developed. In this textbook, the authors provide a unified perspective on a broad range of EEG/MEG source reconstruction methods, with particular emphasis on their respective assumptions about sources, data, head tissues, and sensor properties. An introductory chapter highlights the concept of brain imaging and the particular importance of the neuroelectromagnetic inverse problem. This is followed by an in-depth discussion of neural information processing and brain signal generation and an introduction to the practice of data acquisition. Next, the relevant mathematical models for the sources of EEG and MEG are discussed in detail, followed by the neuroelectromagnetic forward problem, that is, the prediction of EEG or MEG signals from those source models, using biophysical descriptions of the head tissues and the sensors. The main part of this textbook is dedicated to the source reconstruction methods. The authors present a theoretical framework of the neuroelectromagnetic inverse problem, centered on Bayes’ theorem, which then serves as the basis for a detailed description of a large variety of techniques, including dipole fit methods, distributed source reconstruction, spatial filters, and dynamic source reconstruction methods. The final two chapters address the important topic of assessment, including verification and validation of source reconstruction methods, and their actual application to real-world scientific and clinical questions. This book is intended as basic reading for anybody who is engaged with EEG/MEG source reconstruction, be it as a method developer or as a user, including advanced undergraduate students, PhD students, and postdocs in neuroscience, biomedical engineering, and related fields.
Author: C. Jaschek
Publisher: Springer Science & Business Media
ISBN: 9400953259
Category : Science
Languages : en
Pages : 377
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Book Description
Proceedings of the Strasbourg Observatory Colloquium held at Strasbourg, France, June 3-6, 1984
Author: Cheryl J. Aine
Publisher: Springer Science & Business Media
ISBN: 146121260X
Category : Science
Languages : en
Pages : 1218
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Book Description
A modified Linear Estimation Approach was performed to reconstruct current sources within the heart. Based on MRI data sets the Boundary Element Method was used to create tailored multicompartment models of the human thorax which were used to solve the forward problem of magnetocardiography. The ability of the proposed method was demonstrated for the localization of a single current dipole as an example of a focal source. By means of introducing small shiftings to all reconstruction dipoles during linear estimation solution as well as performing a successive focussing strategy ignoring places without significant electrical activity the method could easily be extended to the reconstruction of real 3D sources. Based on a special minimum-norm solution the source volume can be estimated applying a finite element approximation using cube elements. The size of an extended current source can be estimated by superimposing the reconstructed dipoles to an equivalent dipole and comparing the corresponding volume with the sphere which would be related to the equivalent dipole. The deviation of these volumes can be taken as a criterion for non-dipolarity of sources.
