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Relation Algebrasby Roger Duncan Maddux
Elsevier 2006; US$ 220.00A modern perspective on the historical milestones of Relation Algebra. more...
Reading and Writing the World with Mathematicsby Eric Gutstein
Routledge 2005; US$ 29.95Mathematics education in the United States can reproduce social inequalities whether schools use either ''basic-skills'' curricula to prepare mainly low-income students of color for low-skilled service jobs or ''standards-based'' curricula to ready students for knowledge-intensive positions. Nor is working for fundamental social change rectifying injustice in the curriculum. ''Reading and Writing the World with Mathematics'' argues that mathematics education should prepare students to investigate and critique injustice, and to challenge, in words and actions, oppressive structures and acts. Based on teacher-research, the book provides a theoretical framework and practical examples for how mathematics educators can connect schooling to a larger... more...
Residuated Latticesby Nikolaos Galatos; Peter Jipsen; Tomasz Kowalski; Hiroakira Ono
Elsevier 2007; US$ 140.00The book is meant to serve two purposes. The first and more obvious one is to present state of the art results in algebraic research into residuated structures related to substructural logics. The second, less obvious but equally important, is to provide a reasonably gentle introduction to algebraic logic. At the beginning, the second objective is predominant. Thus, in the first few chapters the reader will find a primer of universal algebra for logicians, a crash course in nonclassical logics for algebraists, an introduction to residuated structures, an outline of Gentzen-style calculi as well as some titbits of proof theory - the celebrated Hauptsatz, or cut elimination theorem, among them. These lead naturally to a discussion of interconnections... more...
Relation Algebras by Gamesby R. Hirsch; I. Hodkinson
Elsevier 2002; US$ 150.00Relation algebras are algebras arising from the study of binary relations. They form a part of the field of algebraic logic, and have applications in proof theory, modal logic, and computer science. This research text uses combinatorial games to study the fundamental notion of representations of relation algebras. Games allow an intuitive and appealing approach to the subject, and permit substantial advances to be made. The book contains many new results and proofs not published elsewhere. It should be invaluable to graduate students and researchers interested in relation algebras and games. After an introduction describing the authors' perspective on the material, the text proper has six parts. The lengthy first part is devoted to background... more...
CAFE by K. Futatsugi; A.T. Nakagawa; T. Tamai
Elsevier 2000; US$ 113.00This book contains selected papers on the language, applications, and environments of CafeOBJ, which is a state-of -the-art algebraic specification language. The authors are speakers at a workshop held in 1998 to commemorate a large industrial/academic project dedicated to CafeOBJ. The project involved more than 40 people from more than 10 organisations, of which 6 are industrial. The workshop attracted about 30 talks and more than 70 attendees. The papers in the book however, are either heavily revised versions presented at the workshop, to reflect recent advancements or research; or completely new ones, written especially for this book. In this regard, the book is not a usual postpublication after a workshop. Also, although it is a compendium... more...
Matematica e cultura in Europaby Mirella Manaresi
Springer 2005; US$ 49.95Non vero che la matematica susciti sempre poco interesse. Questa almeno l'impressione che si ricava quando lo spunto per parlarne viene non solo dalla scienza e dalla tecnologia, ma anche dall'arte, dalla letteratura, dal cinema e dal teatro. Ce lo ha insegnato Michele Emmer con i suoi convegni Matematica e Cultura e lo abbiamo sperimentato a Bologna con le iniziative del 2000 per l'Anno Mondiale della Matematica e per Bologna Citt Europea della Cultura. Daltra parte, negli ultimi anni abbiamo finalmente visto sullo schermo come protagonisti di film di successo dei matematici, non rappresentati come individui strani, ma come professionisti che svolgono il proprio lavoro, non necessariamente di insegnanti. Anche alcune opere teatrali... more...
Rudiments of [mu]-calculusby A. Arnold; D. Niwinski
Elsevier 2001; US$ 96.95This book presents what in our opinion constitutes the basis of the theory of the mu-calculus, considered as an algebraic system rather than a logic. We have wished to present the subject in a unified way, and in a form as general as possible. Therefore, our emphasis is on the generality of the fixed-point notation, and on the connections between mu-calculus, games, and automata, which we also explain in an algebraic way. This book should be accessible for graduate or advanced undergraduate students both in mathematics and computer science. We have designed this book especially for researchers and students interested in logic in computer science, comuter aided verification, and general aspects of automata theory. We have aimed at gathering... more...
Boolean Functions in Cryptology and Information Securityby B. Preneel; O.A. Logachev
IOS Press 2008; US$ 167.00Contains the proceedings of the NATO-Russia Advanced Study Institute (ASI) 'Boolean Functions in Cryptology and Information Security', which was held in Zvenigorod, Moscow region, Russia. This book includes lectures and papers which covers: cryptographic properties of Boolean functions and mappings; and cryptanalysis of ciphers. more...
Boole's Logic and Probabilityby T. Hailperin
Elsevier 1986; US$ 179.75Since the publication of the first edition in 1976, there has been a notable increase of interest in the development of logic. This is evidenced by the several conferences on the history of logic, by a journal devoted to the subject, and by an accumulation of new results. This increased activity and the new results - the chief one being that Boole's work in probability is best viewed as a probability logic - were influential circumstances conducive to a new edition. Chapter 1, presenting Boole's ideas on a mathematical treatment of logic, from their emergence in his early 1847 work on through to his immediate successors, has been considerably enlarged. Chapter 2 includes additional discussion of the ``uninterpretable'' notion, both semantically... more...
Lukasiewicz-Moisil Algebrasby V. Boicescu; A. Filipoiu; G. Georgescu; S. Rudeanu
Elsevier 1991; US$ 136.00The Lukasiewicz-Moisil algebras were created by Moisil as an algebraic counterpart for the many-valued logics of Lukasiewicz. The theory of LM-algebras has developed to a considerable extent both as an algebraic theory of intrinsic interest and in view of its applications to logic and switching theory. This book gives an overview of the theory, comprising both classical results and recent contributions, including those of the authors. N-valued and &THgr;-valued algebras are presented, as well as &THgr;-algebras with negation. Mathematicians interested in lattice theory or symbolic logic, and computer scientists, will find in this monograph stimulating material for further research. more...