Introduction to Lattice Algebra

Lattice theory extends into virtually every branch of mathematics, ranging from measure theory and convex geometry to probability theory and topology. A more recent development has been the rapid escalation of employing lattice theory for various applications outside the domain of pure mathematics. These applications range from electronic communication theory and gate array devices that implement Boolean logic to arti?cial intelligence and computer science in general.

lays emphasis on two subjects, the first being lattice algebra and the second the practical applications of that algebra. This textbook is intended to be used for a special topics course in arti?cial intelligence with a focus on pattern recognition, multispectral image analysis, and biomimetic arti?cial neural networks. The book is self-contained and – depending on the student’s major – can be used for a senior undergraduate level or ?rst-year graduate level course. The book is also an ideal self-study guide for researchers and professionals in the above-mentioned disciplines.