Introduction to Lattice Theory with Computer Science Applications
Vijay K. Garg
Naturwissenschaften, Medizin, Informatik, Technik / Datenkommunikation, Netzwerke
Beschreibung
A computational perspective on partial order and lattice theory, focusing on algorithms and their applications This book provides a uniform treatment of the theory and applications of lattice theory. The applications covered include tracking dependency in distributed systems, combinatorics, detecting global predicates in distributed systems, set families, and integer partitions. The book presents algorithmic proofs of theorems whenever possible. These proofs are written in the calculational style advocated by Dijkstra, with arguments explicitly spelled out step by step. The author's intent is for readers to learn not only the proofs, but the heuristics that guide said proofs. Introduction to Lattice Theory with Computer Science Applications: * Examines; posets, Dilworth's theorem, merging algorithms, lattices, lattice completion, morphisms, modular and distributive lattices, slicing, interval orders, tractable posets, lattice enumeration algorithms, and dimension theory * Provides end of chapter exercises to help readers retain newfound knowledge on each subject * Includes supplementary material at www.ece.utexas.edu/~garg Introduction to Lattice Theory with Computer Science Applications is written for students of computer science, as well as practicing mathematicians.
Rezensionen
"This nice book on lattices and their applications in computer science is written from the perspective of a computer scientist rather than a mathematician...Given its emphasis on algorithms and their complexity, it seems to be mainly intended for students of computer science and engineering. The author's approach is based on the premise that a student needs to learn the heuristics that guide the proofs, besides the proofs themselves, and to learn ways to extend and analyze theorems...One of the most important and valuable features of the book is its focus on applications of lattice theory. The author intends to treat applications on par with the theory." Altogether a "lovely book"
Kundenbewertungen
Informatik, Electrical & Electronics Engineering, Paralleles u. Verteiltes Rechnen, Elektrotechnik u. Elektronik, Parallel and Distributed Computing, Verbandstheorie, Numerische Methoden u. Algorithmen, Computer Science, Numerical Methods & Algorithms