Boolean Functions by Peter Hammer
Written by prominent experts in the field, this monograph provides the first comprehensive, unified presentation of the structural, algorithmic and applied aspects of the theory of Boolean functions. The book focuses on algebraic representations of Boolean functions, especially disjunctive and conjunctive normal form representations. This framework looks at the fundamental elements of the theory (Boolean equations and satisfiability problems, prime implicants and associated short representations, dualization), an in-depth study of special classes of Boolean functions (quadratic, Horn, shellable, regular, threshold, read-once functions and their characterization by functional equations) and two fruitful generalizations of the concept of Boolean functions (partially defined functions and pseudo-Boolean functions). Several topics are presented here in book form for the first time. Because of the depth and breadth and its emphasis on algorithms and applications, this monograph will have special appeal for researchers and graduate students in discrete mathematics, operations research, computer science, engineering and economics.-
The Theory of Partitions
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The Banach-Tarski Paradox
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Special Functions
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Equivalents of the Riemann Hypothesis: Volume 1, Arithmetic Equivalents
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Non-Associative Normed Algebras
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Finite Precision Number Systems and Arithmetic
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The Classical Fields
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Handbook of Constructive Mathematics
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Aperiodic Order: Volume 2, Crystallography and Almost Periodicity
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Polynomials with Special Regard to Reducibility
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Categorical Foundations
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Introduction to the Network Approximation Method for Materials Modeling
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Proof Complexity
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Asymptotic Analysis of Random Walks
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Contact Geometry and Nonlinear Differential Equations
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Lie's Structural Approach to PDE Systems
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Sub-Riemannian Geometry
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Combinatorics, Automata and Number Theory
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Variational Methods for Nonlocal Fractional Problems
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Ergodic Control of Diffusion Processes
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Algorithmic Aspects of Graph Connectivity
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Topics in Algorithmic Graph Theory
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Exact and Approximate Controllability for Distributed Parameter Systems
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Mathematics of the Bond Market
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Orthogonal Polynomials in the Spectral Analysis of Markov Processes
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Real Analysis through Modern Infinitesimals
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Introduction to Radon Transforms
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Lattice Sums Then and Now
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The Racah-Wigner Algebra in Quantum Theory
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Boolean Models and Methods in Mathematics, Computer Science, and Engineering
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Exact Constants in Approximation Theory
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An Algebraic Introduction to K-Theory
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Solving Polynomial Equation Systems IV: Volume 4, Buchberger Theory and Beyond
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Infinite Dimensional Optimization and Control Theory
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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras
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Geometry of Sporadic Groups: Volume 2, Representations and Amalgams
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Ultrametric Pseudodifferential Equations and Applications
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Compound Renewal Processes
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General Orthogonal Polynomials
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The Theory of Information and Coding
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Convex Polytopes and Polyhedra
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Stopping Times and Directed Processes
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Nonnegative Matrices and Applications
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Random Graphs
'Because of the unique depth and breadth of the unified treatment that it provides and its emphasis on algorithms and applications, this monograph and its companion book [Boolean Models and Methods in Mathematics, Computer Science and Engineering] will have special appeal for a large circle of readers' Sergiu Rudeanu, Zentralblatt MATH
Dr Yves Crama is Professor of Operations Research and Production Management and the former Director General of the HEC Management School of the University of Liège, Belgium. He is widely recognized as a prominent expert in the field of Boolean functions, combinatorial optimization and operations research, and he has coauthored more than 70 papers and three books on these subjects. Dr Crama is a member of the Editorial Board of Discrete Applied Mathematics, Discrete Optimization, the Journal of Scheduling and 4OR - the quarterly journal of the Belgian, French and Italian Operations Research Societies. The late Peter L. Hammer (1936–2006) was a Professor of Operations Research, Mathematics, Computer Science, Management Science and Information Systems at Rutgers University and the Director of Rutgers University Center for Operations Research (RUTCOR). He was the founder and Editor-in-Chief of the journals Annals of Operations Research, Discrete Mathematics, Discrete Applied Mathematics, Discrete Optimization and Electronic Notes in Discrete Mathematics. Dr Hammer was the initiator of numerous pioneering investigations of the use of Boolean functions in operations research and related areas, of the theory of pseudo-Boolean functions, and of the logical analysis of data. He published more than 240 papers and 19 books on these topics.
| SKU | Unavailable |
| ISBN 13 | 9780521847513 |
| ISBN 10 | 0521847516 |
| Title | Boolean Functions |
| Author | Peter Hammer |
| Series | Encyclopedia Of Mathematics And Its Applications |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2011-05-16 |
| Number of pages | 710 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |