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#### Lattices and Codes

Springer 2012; US$ 59.95The purpose of coding theory is the design of efficient systems for the transmission of information. The mathematical treatment leads to certain finite structures: the error-correcting codes. Surprisingly problems which are interesting for the design of codes turn out to be closely related to problems studied partly earlier and independently in... more...

#### Semimodular Lattices

Cambridge University Press 1999; US$ 68.00A survey of semimodularity that presents theory and applications in discrete mathematics, group theory and universal algebra. more...

#### Lattice Theory

Springer 2014; US$ 129.00George Gratzer's Lattice Theory: Foundation is his third book on lattice theory (General Lattice Theory, 1978, second edition, 1998). In 2009, Gratzer considered updating the second edition to reflect some exciting and deep developments. He soon realized that to lay the foundation, to survey the contemporary field, to pose research problems, would... more...

#### Continuous Lattices and Domains

Cambridge University Press 2003; US$ 217.00Authoritative and comprehensive account; an essential handbook for all those working in the area. more...

#### Towards a Unified Modeling and Knowledge-Representation based on Lattice Theory

Springer 2006; US$ 139.00With the proliferation of computers a variety of modeling paradigms emerged under computational intelligence and soft computing. This book proposes a unified, cross-fertilizing approach for knowledge-representation and modeling based on lattice theory. The emphasis is on clustering, classification, and regression applications. more...

#### Lattice

Springer 2008; US$ 79.95R is rapidly growing in popularity as the environment of choice for data analysis and graphics both in academia and industry. Lattice brings the proven design of Trellis graphics (originally developed for S by William S. Cleveland and colleagues at Bell Labs) to R, considerably expanding its capabilities in the process. Lattice is a powerful and elegant... more...

#### Axioms for Lattices and Boolean Algebras

World Scientific Publishing Company 2008; US$ 120.00The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of “join and meet”... more...

#### Duality Theories for Boolean Algebras with Operators

Springer 2014; US$ 109.00In this new text, Steven Givant?the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski?develops three theories of duality for Boolean algebras with operators. Givant addresses the two most recognized dualities (one algebraic and the other topological) and introduces a third duality, best understood as... more...

#### Structural Additive Theory

Springer 2013; US$ 129.00¿Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets... more...

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