Lattice Boltzman Method

The congruences of a lattice form the congruence lattice. Over the last several decades, the study of congruence lattices has established itself as a large and important field with a great number of interesting and deep results, as well as many open problems. Written by one of the leading experts in lattice theory, this text provides a self-contained introduction to congruences of finite lattices and presents the major results of the last 90 years. It features the author’s signature “Proof-by-Picture” method, which is used to convey the ideas behind formal proofs in a visual, more intuitive manner.

This is a self-contained exposition by one of the leading experts in lattice theory, George Grätzer, presenting the major results of the last 70 years on congruence lattices of finite lattices, featuring the author's signature Proof-by-Picture method.

by James Gubernatis (Author), Naoki Kawashima (Author), Philipp Werner (Author)

This book is a collection of research in the subject areas of multiscale and multiphysics analysis. The book is dedicated to the many computational techniques and methods used to develop man-made systems as well as understand living systems that exist in nature.