Lectures in pattern theory volume iii authors grenander u free preview buy this book ebook 9308 algebra of regular structures pages 84 184 grenander ulf preview buy chapter 2595 eur some topology of image algebras pages 185 193 grenander ulf preview buy chapter 2595 eur metric pattern theory pages 194 317 grenander ulf preview buy chapter 2595 eur patterns of . Lectures in pattern theory volume 5 springer verlag new york heidelberg berlin table of contents page introduction 1 chapter 1 patterns from chaos to order 4 11 the search for regularity 4 12 some regular structures 16 13 the mathematical study of regularity 59 chapter 2 a pattern formalism 63 21 the principle of atomism 63 22 the combinatory principle 68 23 the principle of . The aim of pattern theory is to create mathematical knowledge representations of complex systems analyze the mathematical properties of the resulting regular structures and to apply them to practically occurring patterns in nature and the man made world starting from an algebraic formulation of such representations they are studied in terms of their topological dynamical and probabilistic . Lecture 1 introduction 1 1 conservation laws 1 2 constitutive equations 2 3 the kpp equation 3 lecture 2 dimensional analysis scaling and similarity 11 1 systems of units 11 2 scaling 12 3 nondimensionalization 13 4 fluid mechanics 13 5 stokes formula for the drag on a sphere 18 6 kolmogorovs 1941 theory of turbulence 22 7 self