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Sketches of an Elephant: A Topos Theory Compendium
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.
Towards Higher Categories
The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory ex...
Stochastic Integrals
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Western New York All-Outdoors Atlas & Field Guide
Sportsman's Connection's Western New York All-Outdoors Atlas & Field Guide contains maps created at twice the scale of other road atlases, which means double the detail. And while the maps are sure to be the finest quality you have ever used, the thing that makes this book unique is all the additional information. Your favorite outdoor activities including fishing lakes and streams, hunting, camping, hiking and biking,snowmobiling and off-roading, paddeling, skiing, golfing and wildlife viewing are covered in great depth with helpful editorial and extensive tables, which are all cross-referenced and indexed to the map pages in a way that's fun and easy to use.
Bidirectional Transformations
Bidirectional transformations (BX) are means of maintaining consistency between multiple information sources: when one source is edited, the others may need updating to restore consistency. BX have applications in databases, user interface design, model-driven development, and many other domains. This volume represents the lecture notes from the Summer School on Bidirectional Transformations, held in Oxford, UK, in July 2016. The school was one of the final activities on the project "A Theory of Least Change for Bidirectional Transformations", running at the University of Oxford and the University of Edinburgh from 2013 to 2017 and funded by the UK Engineering and Physical Sciences Research Council. The five chapters included in this volume are a record of most of the material presented at the summer school. After a comprehensive introduction to bidirectional transformations, they deal with triple graph grammars, modular edit lenses, putback-based bidirectional programming, and engineering of bidirectional transformations.
Software Technologies: Applications and Foundations
This book contains the thoroughly refereed technical papers presented in six workshops collocated with the International Conference on Software Technologies: Applications and Foundations, STAF 2017, held in Marburg, Germany, in July 2017. The 15 full and 22 short papers presented were carefully reviewed and selected from 37 submissions. The events whose papers are included in this volume are: BigMDE 2017: 5th International Workshop on Scalable Model Driven Engineering GCM 2017: 8th International Workshop on Graph Computation Models GRAND 2017: 1st International Workshop on Grand Challenges in Modeling MORSE 2017: 4th International Workshop on Model-driven Robot Software Engineering OCL 2017: 17th International Workshop in OCL and Textual Modeling STAF Projects Showcase 2017: 3rd event dedicated to international and national project dissemination and cooperation
Global Analysis
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