Frames And Locales

Download Frames And Locales full books in PDF, epub, and Kindle. Read online Frames And Locales ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Frames and Locales

Author : Jorge Picado
Publisher : Springer Science & Business Media
ISBN 13 : 3034801548
Total Pages : 412 pages
Book Rating : 4.0/5 (348 download)

DOWNLOAD NOW!

Book Synopsis Frames and Locales by : Jorge Picado

Download or read book Frames and Locales written by Jorge Picado and published by Springer Science & Business Media. This book was released on 2011-10-21 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

Frames and Locales

Author : Jorge Picado
Publisher : Birkhäuser
ISBN 13 : 9783034801553
Total Pages : 398 pages
Book Rating : 4.8/5 (15 download)

DOWNLOAD NOW!

Book Synopsis Frames and Locales by : Jorge Picado

Download or read book Frames and Locales written by Jorge Picado and published by Birkhäuser. This book was released on 2012-02-29 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a "realistic" place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smoother, rather than a more entangled, theory. No monograph of this nature has appeared since Johnstone's celebrated Stone Spaces in 1983. The present book is intended as a bridge from that time to the present. Most of the material appears here in book form for the first time or is presented from new points of view. Two appendices provide an introduction to some requisite concepts from order and category theories.

General Topology and Applications

Author : Susan J. Andima
Publisher : CRC Press
ISBN 13 : 1000147878
Total Pages : 440 pages
Book Rating : 4.0/5 (1 download)

DOWNLOAD NOW!

Book Synopsis General Topology and Applications by : Susan J. Andima

Download or read book General Topology and Applications written by Susan J. Andima and published by CRC Press. This book was released on 2020-08-26 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island – The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.

Topology Via Logic

Author : Steven Vickers
Publisher : Cambridge University Press
ISBN 13 : 9780521576512
Total Pages : 224 pages
Book Rating : 4.5/5 (765 download)

DOWNLOAD NOW!

Book Synopsis Topology Via Logic by : Steven Vickers

Download or read book Topology Via Logic written by Steven Vickers and published by Cambridge University Press. This book was released on 1989 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, Topology via Logic is an advanced textbook on topology for computer scientists. Based on a course given by the author to postgraduate students of computer science at Imperial College, it has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the methods of locale theory are freely exploited. Third, there is substantial discussion of some computer science applications. Although books on topology aimed at mathematics exist, no book has been written specifically for computer scientists. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap.

Separation in Point-Free Topology

Author : Jorge Picado
Publisher : Springer Nature
ISBN 13 : 3030534790
Total Pages : 296 pages
Book Rating : 4.0/5 (35 download)

DOWNLOAD NOW!

Book Synopsis Separation in Point-Free Topology by : Jorge Picado

Download or read book Separation in Point-Free Topology written by Jorge Picado and published by Springer Nature. This book was released on 2021-02-01 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first systematic treatment of this area so far scattered in a vast number of articles. As in classical topology, concrete problems require restricting the (generalized point-free) spaces by various conditions playing the roles of classical separation axioms. These are typically formulated in the language of points; but in the point-free context one has either suitable translations, parallels, or satisfactory replacements. The interrelations of separation type conditions, their merits, advantages and disadvantages, and consequences are discussed. Highlights of the book include a treatment of the merits and consequences of subfitness, various approaches to the Hausdorff's axiom, and normality type axioms. Global treatment of the separation conditions put them in a new perspective, and, a.o., gave some of them unexpected importance. The text contains a lot of quite recent results; the reader will see the directions the area is taking, and may find inspiration for her/his further work. The book will be of use for researchers already active in the area, but also for those interested in this growing field (sometimes even penetrating into some parts of theoretical computer science), for graduate and PhD students, and others. For the reader's convenience, the text is supplemented with an Appendix containing necessary background on posets, frames and locales.

Manifolds And Local Structures: A General Theory

Author : Marco Grandis
Publisher : World Scientific
ISBN 13 : 9811234019
Total Pages : 374 pages
Book Rating : 4.8/5 (112 download)

DOWNLOAD NOW!

Book Synopsis Manifolds And Local Structures: A General Theory by : Marco Grandis

Download or read book Manifolds And Local Structures: A General Theory written by Marco Grandis and published by World Scientific. This book was released on 2021-02-10 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: Local structures, like differentiable manifolds, fibre bundles, vector bundles and foliations, can be obtained by gluing together a family of suitable 'elementary spaces', by means of partial homeomorphisms that fix the gluing conditions and form a sort of 'intrinsic atlas', instead of the more usual system of charts living in an external framework.An 'intrinsic manifold' is defined here as such an atlas, in a suitable category of elementary spaces: open euclidean spaces, or trivial bundles, or trivial vector bundles, and so on.This uniform approach allows us to move from one basis to another: for instance, the elementary tangent bundle of an open Euclidean space is automatically extended to the tangent bundle of any differentiable manifold. The same holds for tensor calculus.Technically, the goal of this book is to treat these structures as 'symmetric enriched categories' over a suitable basis, generally an ordered category of partial mappings.This approach to gluing structures is related to Ehresmann's one, based on inductive pseudogroups and inductive categories. A second source was the theory of enriched categories and Lawvere's unusual view of interesting mathematical structures as categories enriched over a suitable basis.

Sheaves in Geometry and Logic

Author : Saunders MacLane
Publisher : Springer Science & Business Media
ISBN 13 : 1461209277
Total Pages : 643 pages
Book Rating : 4.4/5 (612 download)

DOWNLOAD NOW!

Book Synopsis Sheaves in Geometry and Logic by : Saunders MacLane

Download or read book Sheaves in Geometry and Logic written by Saunders MacLane and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 643 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds. Sheaves also appear in logic as carriers for models of set theory. This text presents topos theory as it has developed from the study of sheaves. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

Stone Spaces

Author : Peter T. Johnstone
Publisher : Cambridge University Press
ISBN 13 : 9780521337793
Total Pages : 398 pages
Book Rating : 4.3/5 (377 download)

DOWNLOAD NOW!

Book Synopsis Stone Spaces by : Peter T. Johnstone

Download or read book Stone Spaces written by Peter T. Johnstone and published by Cambridge University Press. This book was released on 1982 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of the corpus of mathematics that has developed out of M. H. Stone's representation theorem for Boolean algebras (1936) which has applications in almost every area of modern mathematics.

Continuous Lattices and Their Applications

Author : Rudolf E. Hoffmann
Publisher : CRC Press
ISBN 13 : 1000111083
Total Pages : 392 pages
Book Rating : 4.0/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Continuous Lattices and Their Applications by : Rudolf E. Hoffmann

Download or read book Continuous Lattices and Their Applications written by Rudolf E. Hoffmann and published by CRC Press. This book was released on 2020-12-17 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Foundations of Quantum Theory

Author : Klaas Landsman
Publisher : Springer
ISBN 13 : 3319517775
Total Pages : 881 pages
Book Rating : 4.3/5 (195 download)

DOWNLOAD NOW!

Book Synopsis Foundations of Quantum Theory by : Klaas Landsman

Download or read book Foundations of Quantum Theory written by Klaas Landsman and published by Springer. This book was released on 2017-05-11 with total page 881 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the foundations of quantum theory through its relationship to classical physics. This idea goes back to the Copenhagen Interpretation (in the original version due to Bohr and Heisenberg), which the author relates to the mathematical formalism of operator algebras originally created by von Neumann. The book therefore includes comprehensive appendices on functional analysis and C*-algebras, as well as a briefer one on logic, category theory, and topos theory. Matters of foundational as well as mathematical interest that are covered in detail include symmetry (and its "spontaneous" breaking), the measurement problem, the Kochen-Specker, Free Will, and Bell Theorems, the Kadison-Singer conjecture, quantization, indistinguishable particles, the quantum theory of large systems, and quantum logic, the latter in connection with the topos approach to quantum theory. This book is Open Access under a CC BY licence.

Categorical Foundations

Author : Maria Cristina Pedicchio
Publisher : Cambridge University Press
ISBN 13 : 9780521834148
Total Pages : 452 pages
Book Rating : 4.8/5 (341 download)

DOWNLOAD NOW!

Book Synopsis Categorical Foundations by : Maria Cristina Pedicchio

Download or read book Categorical Foundations written by Maria Cristina Pedicchio and published by Cambridge University Press. This book was released on 2004 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Logic, Language, Information, and Computation

Author : Leonid Libkin
Publisher : Springer
ISBN 13 : 3642399924
Total Pages : 291 pages
Book Rating : 4.6/5 (423 download)

DOWNLOAD NOW!

Book Synopsis Logic, Language, Information, and Computation by : Leonid Libkin

Download or read book Logic, Language, Information, and Computation written by Leonid Libkin and published by Springer. This book was released on 2013-08-15 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the 20th Workshop on Logic, Language, Information and Communication, WoLLIC 2013, held in Darmstadt, Germany, in August 2013. The 17 contributed papers presented together with 6 invited lectures were carefully reviewed and selected from 30 submissions. The scope of the workshop spans the theoretical and practical aspects of formal logic, computing and programming theory, and natural language and reasoning.

Topology

Author : Will Chambers
Publisher : Scientific e-Resources
ISBN 13 : 1839473363
Total Pages : 284 pages
Book Rating : 4.8/5 (394 download)

DOWNLOAD NOW!

Book Synopsis Topology by : Will Chambers

Download or read book Topology written by Will Chambers and published by Scientific e-Resources. This book was released on 2018-11-22 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure. This book was written to be a readable introduction to algebraic topology with rather broad coverage of the subject. The viewpoint is quite classical in spirit, and stays well within the confines of pure algebraic topology. Topology developed as a field of study out of geometry and set theory, through analysis of concepts such as space, dimension, and transformation. Such ideas go back to Gottfried Leibniz, who in the 17th century envisioned the geometria situs and analysis situs. Leonhard Euler's Seven Bridges of Koenigsberg Problem and Polyhedron Formula are arguably the field's first theorems. The term topology was introduced by Johann Benedict Listing in the 19th century, although it was not until the first decades of the 20th century that the idea of a topological space was developed. By the middle of the 20th century, topology had become a major branch of mathematics. The motivating insight behind topology is that some geometric problems depend not on the exact shape of the objects involved, but rather on the way they are put together. For example, the square and the circle have many properties in common: they are both one dimensional objects (from a topological point of view) and both separate the plane into two parts, the part inside and the part outside.

Local Cells, Global Science

Author : Aditya Bharadwaj
Publisher : Taylor & Francis
ISBN 13 : 0415396093
Total Pages : 149 pages
Book Rating : 4.4/5 (153 download)

DOWNLOAD NOW!

Book Synopsis Local Cells, Global Science by : Aditya Bharadwaj

Download or read book Local Cells, Global Science written by Aditya Bharadwaj and published by Taylor & Francis. This book was released on 2009 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the first studies of an exciting new development in global biotechnology, this cutting edge text examines the extent of the transnational movements of tissues, stem cells, and expertise, in the developing governance framework of India. Documenting the impact of local and global governance frames on the everyday conduct of research, this groundbreaking book traces the journey of â€˜spareâ€™ human embryos in IVF clinics to public and private laboratories engaged in isolating stem cells for potential therapeutic application. The discussion also examines the gender dimension as a potential site for exploitation in the sourcing of embryonic and other biogenic materials, and suggests that a moral economy has developed in which the ethical values of the global 'North' support and encourage the donation of abundant and ethically â€˜neutralâ€™ embryos by the 'South'. This unique exploration is grounded in an empirical, multi-sited ethnographic study that takes a thoroughly comparative analysis of the ethical, religious and social issues in Europe, the United States, and organ donations already prevalent in India. In this theoretically-sensitive analysis, the authors use the resources of social anthropology and the social sciences in an innovative text which will appeal to postgraduates and professionals in the areas of STS studies, genetics, bioethics, and anthropology.

Sketches of an Elephant: A Topos Theory Compendium

Author : P. T. Johnstone
Publisher : Oxford University Press
ISBN 13 : 9780198515982
Total Pages : 836 pages
Book Rating : 4.5/5 (159 download)

DOWNLOAD NOW!

Book Synopsis Sketches of an Elephant: A Topos Theory Compendium by : P. T. Johnstone

Download or read book Sketches of an Elephant: A Topos Theory Compendium written by P. T. Johnstone and published by Oxford University Press. This book was released on 2002-09-12 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from the interplay of ideas drawn from these different areas. Because of this, an account of topos theory which approaches the subject from one particular direction can only hope to give a partial picture; the aim of this compendium is to present as comprehensive an account as possible of all the main approaches and to thereby demonstrate the overall unity of the subject. The material is organized in such a way that readers interested in following a particular line of approach may do so by starting at an appropriate point in the text.

The Best Writing on Mathematics 2017

Author : Mircea Pitici
Publisher : Princeton University Press
ISBN 13 : 1400888557
Total Pages : 248 pages
Book Rating : 4.4/5 (8 download)

DOWNLOAD NOW!

Book Synopsis The Best Writing on Mathematics 2017 by : Mircea Pitici

Download or read book The Best Writing on Mathematics 2017 written by Mircea Pitici and published by Princeton University Press. This book was released on 2017-10-31 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: The year's finest mathematics writing from around the world This annual anthology brings together the year’s finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2017 makes available to a wide audience many articles not easily found anywhere else—and you don’t need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today’s hottest mathematical debates. Here Evelyn Lamb describes the excitement of searching for incomprehensibly large prime numbers, Jeremy Gray speculates about who would have won math’s highest prize—the Fields Medal—in the nineteenth century, and Philip Davis looks at mathematical results and artifacts from a business and marketing viewpoint. In other essays, Noson Yanofsky explores the inherent limits of knowledge in mathematical thinking, Jo Boaler and Lang Chen reveal why finger-counting enhances children’s receptivity to mathematical ideas, and Carlo Séquin and Raymond Shiau attempt to discover how the Renaissance painter Fra Luca Pacioli managed to convincingly depict his famous rhombicuboctahedron, a twenty-six-sided Archimedean solid. And there’s much, much more. In addition to presenting the year’s most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Translation as a Set of Frames

Author : Ali Almanna
Publisher : Routledge
ISBN 13 : 1000397513
Total Pages : 233 pages
Book Rating : 4.0/5 (3 download)

DOWNLOAD NOW!

Book Synopsis Translation as a Set of Frames by : Ali Almanna

Download or read book Translation as a Set of Frames written by Ali Almanna and published by Routledge. This book was released on 2021-07-14 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: Envisioned as a much needed celebration of the massive strides made in translation and interpreting studies, this eclectic volume takes stock of the latest cutting-edge research that exemplifies how translation and interpreting might interact with such topics as power, ideological discourse, representation, hegemony and identity. In this exciting volume, we have articles from different language combinations (e.g. Arabic, English, Hungarian and Chinese) and from a wide range of sociopolitical, cultural, and institutional contexts and geographical locales (China, Iran, Malaysia, Russia and Nigeria). Those chapters also draw on a diverse range of theoretical perspectives and methodological approaches (e.g. critical discourse analysis, Bourdieu’s sociological theories, corpus linguistics, narrative theory and structuration theory), focusing on translation and interpreting relating to various settings and specialised genres (traditional media, digital media, subtitling, manga, etc.). As such, this volume serves as a dynamic forum for intercultural and interlingual communication and an exciting arena for interdisciplinary dialogues, thus enabling us to look beyond the traditionally more static, mechanical and linguistics-oriented views of translation and interpreting. This book appeals to scholars and students interested in translation and interpreting studies and issues of power, ideology, identity in interlingual and intercultural communication.