1# Library to Find Best eBook for Read
Author : David M. Clark
Release : 1998-11-12
Genre : Mathematics
Kind : eBook
Book Rating : 155/5 ( reviews)
Book Synopsis Natural Dualities for the Working Algebraist by : David M. Clark
Download or read book Natural Dualities for the Working Algebraist written by David M. Clark. This book was released on 1998-11-12. Available in PDF, EPUB and Kindle. Book excerpt: First text in subject; aimed at algebraists, category theorists in mathematics and computer science.
Author : Jane G. Pitkethly
Release : 2006-03-30
Genre : Mathematics
Kind : eBook
Book Rating : 703/5 ( reviews)
Book Synopsis Dualisability by : Jane G. Pitkethly
Download or read book Dualisability written by Jane G. Pitkethly. This book was released on 2006-03-30. Available in PDF, EPUB and Kindle. Book excerpt: Natural duality theory is one of the major growth areas within general algebra. This text provides a short path to the forefront of research in duality theory. It presents a coherent approach to new results in the area, as well as exposing open problems. Unary algebras play a special role throughout the text. Individual unary algebras are relatively simple and easy to work with. But as a class they have a rich and complex entanglement with dualisability. This combination of local simplicity and global complexity ensures that, for the study of natural duality theory, unary algebras are an excellent source of examples and counterexamples. A number of results appear here for the first time. In particular, the text ends with an appendix that provides a new and definitive approach to the concept of the rank of a finite algebra and its relationship with strong dualisability.
Author : Aldo Ursini
Release : 2017-10-05
Genre : Mathematics
Kind : eBook
Book Rating : 713/5 ( reviews)
Book Synopsis Logic and Algebra by : Aldo Ursini
Download or read book Logic and Algebra written by Aldo Ursini. This book was released on 2017-10-05. Available in PDF, EPUB and Kindle. Book excerpt: ""Attempts to unite the fields of mathematical logic and general algebra. Presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the blossoming of research in mathematical logic in Italy since the 1960s.
Author : Mai Gehrke
Release : 2024-02-29
Genre : Computers
Kind : eBook
Book Rating : 694/5 ( reviews)
Book Synopsis Topological Duality for Distributive Lattices by : Mai Gehrke
Download or read book Topological Duality for Distributive Lattices written by Mai Gehrke. This book was released on 2024-02-29. Available in PDF, EPUB and Kindle. Book excerpt: Introducing Stone-Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.
Author : David Yang Gao
Release : 2017-10-09
Genre : Mathematics
Kind : eBook
Book Rating : 175/5 ( reviews)
Book Synopsis Canonical Duality Theory by : David Yang Gao
Download or read book Canonical Duality Theory written by David Yang Gao. This book was released on 2017-10-09. Available in PDF, EPUB and Kindle. Book excerpt: This book on canonical duality theory provides a comprehensive review of its philosophical origin, physics foundation, and mathematical statements in both finite- and infinite-dimensional spaces. A ground-breaking methodological theory, canonical duality theory can be used for modeling complex systems within a unified framework and for solving a large class of challenging problems in multidisciplinary fields in engineering, mathematics, and the sciences. This volume places a particular emphasis on canonical duality theory’s role in bridging the gap between non-convex analysis/mechanics and global optimization. With 18 total chapters written by experts in their fields, this volume provides a nonconventional theory for unified understanding of the fundamental difficulties in large deformation mechanics, bifurcation/chaos in nonlinear science, and the NP-hard problems in global optimization. Additionally, readers will find a unified methodology and powerful algorithms for solving challenging problems in complex systems with real-world applications in non-convex analysis, non-monotone variational inequalities, integer programming, topology optimization, post-buckling of large deformed structures, etc. Researchers and graduate students will find explanation and potential applications in multidisciplinary fields.
