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#### Boolean Representations of Simplicial Complexes and Matroids

Springer International Publishing 2015; US$ 109.00This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric... more...

#### Duality Theories for Boolean Algebras with Operators

Springer International Publishing 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...

#### Black-Box Models of Computation in Cryptology

Vieweg+Teubner Verlag 2012; US$ 89.95Generic group algorithms solve computational problems defined over algebraic groups without exploiting properties of a particular representation of group elements. This is modeled by treating the group as a black-box. The fact that a computational problem cannot be solved by a reasonably restricted class of algorithms may be seen as support towards... more...

#### Sheaves of Algebras over Boolean Spaces

Birkhäuser Boston 2011; US$ 124.00Sheaves of Algebras over Boolean Spaces takes the reader on a journey through sheaf theory. The coverage builds bridges spanning algebra, topology, and category theory and revealing new connections between classical algebra and universal algebra. more...

#### Cardinal Invariants on Boolean Algebras

Springer 2009; US$ 49.99Deals with cardinal number valued functions defined for any Boolean algebra. This title considers the behavior of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. It covers topics such as ultraproducts and Fedorchukis theorem. more...

#### Cryptographic Boolean Functions and Applications

Elsevier Science 2009; US$ 63.95Boolean functions are the building blocks of symmetric cryptographic systems. Symmetrical cryptographic algorithms are fundamental tools in the design of all types of digital security systems (i.e. communications, financial and e-commerce). Cryptographic Boolean Functions and Applications is a concise reference that shows how Boolean functions are... more...

#### Boolean Functions in Cryptology and Information Security

IOS Press 2008; US$ 167.00This book contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held at September 8-18, 2007 in Zvenigorod, Moscow region, Russia. These proceedings consist of three parts. The first part contains survey lectures on various areas of Boolean function theory that... more...

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