The book presents a theoretical framework for understanding how hexagonal agglomeration patterns emerge in industrial regions. It explores the bifurcations within economic geography models that apply to a hexagonal lattice of cities, providing insights into the dynamics of urban organization. Additionally, it includes practical guidance on applying these theoretical concepts to real-world scenarios.
Focusing on the theory and analysis of bifurcation and buckling in structures, this textbook outlines a general procedure for addressing nonlinear governing equations, particularly through the finite-element method. It includes straightforward structural examples involving trusses, columns, and frames to effectively illustrate key principles, making complex concepts more accessible to readers.
Engineering Use of Group-Theoretic Bifurcation Theory
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis. This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the 1990's. A mixed matrix is a convenient mathematical tool for systems analysis, compatible with the physical observation that "fixed constants" and "system parameters" are to be distinguished in the description of engineering systems. This book will be extremely useful to graduate students and researchers in engineering, mathematics and computer science. From the reviews: "…The book has been prepared very carefully, contains a lot of interesting results and is highly recommended for graduate and postgraduate students." András Recski, Mathematical Reviews Clippings 2000m:93006