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Applied and Computational Matrix Analysis
This volume presents recent advances in the field of matrix analysis based on contributions at the MAT-TRIAD 2015 conference. Topics covered include interval linear algebra and computational complexity, Birkhoff polynomial basis, tensors, graphs, linear pencils, K-theory and statistic inference, showing the ubiquity of matrices in different mathematical areas. With a particular focus on matrix and operator theory, statistical models and computation, the International Conference on Matrix Analysis and its Applications 2015, held in Coimbra, Portugal, was the sixth in a series of conferences. Applied and Computational Matrix Analysis will appeal to graduate students and researchers in theoretical and applied mathematics, physics and engineering who are seeking an overview of recent problems and methods in matrix analysis.
Operator Theory, Operator Algebras, and Matrix Theory
This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.
Perspectives in Particles and Fields
The 1983 Cargese Summer Institute on Particles and Fields was organized by the Universite Pierre et Marie Curie, Paris (M. LEVY and J.-L. BASDEVANT), C.E.R.N. (M. JACOB), the Universite Catholique de Louvain (D. SPEISER and J. WEYERS), and the Katholieke Universiteit Leuven (R. GASTMANS). After 1975, 1977, 1979, and 1981, it was the fifth time they joined their efforts for organizing this Summer Insti tute. This school was characterized by simultaneous progress in the theory of elementary particles and by impressive experimental advances. On the theoretical front, one witnessed the new developments in lattice gauge theories, which explore the world of strongly interacting par ticles in a non...
Progress in Computational Physics of Matter
The aim of the book is to describe some of the recent advances, through computer simulation in a broad sense, in the understanding of the complex processes occurring in solids and liquids.The rapid growth of computer power, including the new parallel processors, has stimulated a ferment of new theoretical and computational ideas, which have been developed in particular by the authors in a pluriennal research project supported by Consiglio Nazionale delle Ricerche (CNR) for the development of novel software for large scale computations.The book will cover advances in ab initio (Car-Parrinello) molecular dynamics, quantum monte carlo simulations, self-consistent density functional computation ...
Quarks, Leptons, and Beyond
The ASI Quarks, Leptons and Beyond, held in Munich from the 5th to the 16th of September 1983 was dedicated to the study of what we now believe are the fundamental building blocks of nature: quarks and leptons. The subject was approached on two levels. On the one hand, a thorough discussion was given of the status of our knowledge of quarks and leptons and their interactions, both from an experi mental and a theoretical standpoint. On the other hand, open problems presented by the so called standard model of quark and lepton interact ions were explored along various ways that lead one beyond this frame work. One of the principal predictions of the standard model is that weak interactions are...
Quantum Mechanics II
Here is a readable and intuitive quantum mechanics text that covers scattering theory, relativistic quantum mechanics, and field theory. This expanded and updated Second Edition - with five new chapters - emphasizes the concrete and calculable over the abstract and pure, and helps turn students into researchers without diminishing their sense of wonder at physics and nature. As a one-year graduate-level course, Quantum Mechanics II: A Second Course in Quantum Theory leads from quantum basics to basic field theory, and lays the foundation for research-oriented specialty courses. Used selectively, the material can be tailored to create a one-semester course in advanced topics. In either case, it addresses a broad audience of students in the physical sciences, as well as independent readers - whether advanced undergraduates or practicing scientists.
Analysis of Complex Networks
Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theory from a mathematical perspective with specific applications of graph theory in biomedical and computational sciences. The book is written by renowned experts in the field and offers valuable background information for a wide audience.
Collective Motion and Nuclear Dynamics
"These proceedings contain selected topics covering various fields of collective motion and nuclear dynamics, ranging from low to high energies, from nuclear structure to reaction mechanisms, from regular stable to chaotic systems, and from fragmentation to fusion. Several ways of investigating the nuclear systems are presented: electron scattering radioactive beams, fragmenting projectiles, beta and double beta decays, and cluster emission. Their behaviour, under some extreme situations such as superdeformation, high spin states, high temperature, and relativisitic energy, is described within various theoretical formalisms."--Publisher's website.
Proceedings of the International Workshop Fission Dynamics of Atomic Clusters and Nuclei
In this volume, the main results of the last sixty years of research in nuclear fission are summarized, showing how ideas advanced from the beginning, for nuclei have also found useful applications in the new area of atomic clusters. The present status of the physics of fission is discussed in depth, and perspectives for further research are outlined.
