Discrete Mathematics in Statistical Physics [recurso electrónico] : Introductory Lectures / by Martin Loebl.
Tipo de material: TextoEditor: Wiesbaden : Vieweg+Teubner, 2010Descripción: X, 187p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783834893291Tema(s): Mathematics | Algebra | Mathematics | AlgebraFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512 Clasificación LoC:QA150-272Recursos en línea: Libro electrónicoTipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
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Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA150 -272 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 377087-2001 |
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QA150 -272 Hilbert Functions of Filtered Modules | QA150 -272 Algebraic Patching | QA150 -272 From Objects to Diagrams for Ranges of Functors | QA150 -272 Discrete Mathematics in Statistical Physics | QA150 -272 Algebraic Geometry I | QA150 -272 Álgebra Linear | QA150 -272 Structured Matrix Based Methods for Approximate Polynomial GCD |
Basic concepts -- to Graph Theory -- Trees and electrical networks -- Matroids -- Geometric representations of graphs -- Game of dualities -- The zeta function and graph polynomials -- Knots -- 2D Ising and dimer models.
The book first describes connections between some basic problems and technics of combinatorics and statistical physics. The discrete mathematics and physics terminology are related to each other. Using the established connections, some exciting activities in one field are shown from a perspective of the other field. The purpose of the book is to emphasize these interactions as a strong and successful tool. In fact, this attitude has been a strong trend in both research communities recently. It also naturally leads to many open problems, some of which seem to be basic. Hopefully, this book will help making these exciting problems attractive to advanced students and researchers. Basic concepts - Introduction to Graph Theory - Trees and electrical networks – Matroids - Geometric representations of graphs - Game of dualities - The zeta function and graph polynomials – Knots - 2D Ising and dimer models - Advanced Graduate Students in Mathematics, Physics and Computer Sciences - Researchers Prof. Dr. Martin Loebl, Dept. of Mathematics, Charles University, Prague
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