Author: Rudolf E. Hoffmann
Publisher: CRC Press
ISBN: 1000111083
Category : Computers
Languages : en
Pages : 392
Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Continuous Lattices and Their Applications
Author: Rudolf E. Hoffmann
Publisher: CRC Press
ISBN: 1000111083
Category : Computers
Languages : en
Pages : 392
Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Publisher: CRC Press
ISBN: 1000111083
Category : Computers
Languages : en
Pages : 392
Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Continuous Lattices and Domains
Author: G. Gierz
Publisher: Cambridge University Press
ISBN: 9780521803380
Category : Mathematics
Languages : en
Pages : 640
Book Description
Table of contents
Publisher: Cambridge University Press
ISBN: 9780521803380
Category : Mathematics
Languages : en
Pages : 640
Book Description
Table of contents
A Compendium of Continuous Lattices
Author: G. Gierz
Publisher: Springer Science & Business Media
ISBN: 3642676782
Category : Mathematics
Languages : en
Pages : 390
Book Description
A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
Publisher: Springer Science & Business Media
ISBN: 3642676782
Category : Mathematics
Languages : en
Pages : 390
Book Description
A mathematics book with six authors is perhaps a rare enough occurrence to make a reader ask how such a collaboration came about. We begin, therefore, with a few words on how we were brought to the subject over a ten-year period, during part of which time we did not all know each other. We do not intend to write here the history of continuous lattices but rather to explain our own personal involvement. History in a more proper sense is provided by the bibliography and the notes following the sections of the book, as well as by many remarks in the text. A coherent discussion of the content and motivation of the whole study is reserved for the introduction. In October of 1969 Dana Scott was lead by problems of semantics for computer languages to consider more closely partially ordered structures of function spaces. The idea of using partial orderings to correspond to spaces of partially defined functions and functionals had appeared several times earlier in recursive function theory; however, there had not been very sustained interest in structures of continuous functionals. These were the ones Scott saw that he needed. His first insight was to see that - in more modern terminology - the category of algebraic lattices and the (so-called) Scott-continuous functions is cartesian closed.
Continuous Lattices and Their Applications
Author: Rudolf E. Hoffmann
Publisher: CRC Press
ISBN: 1000154173
Category : Computers
Languages : en
Pages : 392
Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
Publisher: CRC Press
ISBN: 1000154173
Category : Computers
Languages : en
Pages : 392
Book Description
This book contains articles on the notion of a continuous lattice, which has its roots in Dana Scott's work on a mathematical theory of computation, presented at a conference on categorical and topological aspects of continuous lattices held in 1982.
The Dilworth Theorems
Author: Bogart
Publisher: Springer Science & Business Media
ISBN: 1489935584
Category : Science
Languages : en
Pages : 476
Book Description
Publisher: Springer Science & Business Media
ISBN: 1489935584
Category : Science
Languages : en
Pages : 476
Book Description
Statistical Mechanics of Lattice Systems
Author: Sacha Friedli
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Publisher: Cambridge University Press
ISBN: 1107184827
Category : Mathematics
Languages : en
Pages : 643
Book Description
A self-contained, mathematical introduction to the driving ideas in equilibrium statistical mechanics, studying important models in detail.
Mathematics for Large Scale Computing
Author: Julio Diaz
Publisher: CRC Press
ISBN: 1000673359
Category : Mathematics
Languages : en
Pages : 370
Book Description
During recent years a great deal of interest has been devoted to large scale computing applications. This has occurred in great part because of the introduction of advanced high performance computer architectures. The book contains survey articles as well as chapters on specific research applications, development and analysis of numerical algorithms, and performance evaluation of algorithms on advanced architectures. The effect of specialized architectural features on the performance of large scale computation is also considered by several authors. Several areas of applications are represented, including the numerical solution of partial differential equations, iterative techniques for large structured problems, the numerical solution of boundary value problems for ordinary differential equations, numerical optimization, and numerical quadrature. Mathematical issues in computer architecture are also presented, including the description of grey codes for generalized hypercubes. The results presented in this volume give, in our opinion, a representative picture of today’s state of the art in several aspects of large scale computing.
Publisher: CRC Press
ISBN: 1000673359
Category : Mathematics
Languages : en
Pages : 370
Book Description
During recent years a great deal of interest has been devoted to large scale computing applications. This has occurred in great part because of the introduction of advanced high performance computer architectures. The book contains survey articles as well as chapters on specific research applications, development and analysis of numerical algorithms, and performance evaluation of algorithms on advanced architectures. The effect of specialized architectural features on the performance of large scale computation is also considered by several authors. Several areas of applications are represented, including the numerical solution of partial differential equations, iterative techniques for large structured problems, the numerical solution of boundary value problems for ordinary differential equations, numerical optimization, and numerical quadrature. Mathematical issues in computer architecture are also presented, including the description of grey codes for generalized hypercubes. The results presented in this volume give, in our opinion, a representative picture of today’s state of the art in several aspects of large scale computing.
Nonlinear Functional Analysis
Author: P. S. Milojevic
Publisher: CRC Press
ISBN: 9780824782559
Category : Mathematics
Languages : en
Pages : 284
Book Description
This book is based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the American Mathematical Society Regional Meeting, held at New Jersey Institute of Technology. It explores global invertibility and finite solvability of nonlinear differential equations.
Publisher: CRC Press
ISBN: 9780824782559
Category : Mathematics
Languages : en
Pages : 284
Book Description
This book is based on the lectures presented at the Special Session on Nonlinear Functional Analysis of the American Mathematical Society Regional Meeting, held at New Jersey Institute of Technology. It explores global invertibility and finite solvability of nonlinear differential equations.
Differential Equations
Author: Saber N. Elaydi
Publisher: CRC Press
ISBN: 9780849306631
Category : Mathematics
Languages : en
Pages : 560
Book Description
Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June 1989. Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi
Publisher: CRC Press
ISBN: 9780849306631
Category : Mathematics
Languages : en
Pages : 560
Book Description
Reports and expands upon topics discussed at the International Conference on [title] held in Colorado Springs, Colo., June 1989. Presents recent advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations, differential inclusions, functi
Inequalities
Author: Everitt
Publisher: CRC Press
ISBN: 9780824784881
Category : Mathematics
Languages : en
Pages : 306
Book Description
Proceedings of an international conference organized by the London Mathematical Society, held July 1987 at the U. of Birmingham, and dominated by the ghosts of Hardy, Littlewood and Polya, whose Inequalities (still the primary reference in the field) appeared in 1934. Thirteen essays summarize subse
Publisher: CRC Press
ISBN: 9780824784881
Category : Mathematics
Languages : en
Pages : 306
Book Description
Proceedings of an international conference organized by the London Mathematical Society, held July 1987 at the U. of Birmingham, and dominated by the ghosts of Hardy, Littlewood and Polya, whose Inequalities (still the primary reference in the field) appeared in 1934. Thirteen essays summarize subse