This book explores the role of transnational communities in relation to the governance of business and economic activity. This volume explores the many different meanings of the notion of the axiomatic method, offering an insightful historical and philosophical discussion about how these notions changed over the millennia. Gathering cases from nine countries and cities across sub-Saharan Africa, and from a range of sectors, this volume goes beyond the usual focus on household ‘coping strategies’ and individual agency, addressing the growing number of ... Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004. Publisher Description The result is a powerful theory with applications in many areas of mathematics. The book's first five chapters give an exposition of the theory of infinity-categories that emphasizes their role as a generalization of ordinary categories. In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. With numerous exercises of varying difficulty, this is an accessible introduction to model theory and its place in mathematics. Containing clear definitions of the essential concepts, illuminated with numerous accessible examples, and providing full proofs of all important propositions and theorems, this book aims to make the basic ideas, theorems, and methods of ... This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Useful for self-study and as a course text, the book includes all basic definitions and theorems (with full proofs), as well as numerous examples and exercises. Found insideBasic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed ... Found inside – Page iThis volume provides a series of tutorials on mathematical structures which recently have gained prominence in physics, ranging from quantum foundations, via quantum information, to quantum gravity. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. Found insideAt last, a friendly introduction to modern homotopy theory after Joyal and Lurie, reaching advanced tools and starting from scratch. Found insideThis book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design. This book develops a theory of enriched meanings for natural language interpretation that uses the concept of monads and related ideas from category theory. Found insideThe goal of this book is to present the five major ideas of category theory: categories, functors, natural transformations, universality, and adjoints in as friendly and relaxed a manner as possible while at the same time not sacrificing ... The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. This volume examines critically some of the most pertinent and controversial issues relating to children and health care. Insights are offered into some of today's leading controversies about children and their rights. This introductory book on the new science of networks takes an interdisciplinary approach, using economics, sociology, computing, information science and applied mathematics to address fundamental questions about the links that connect us, ... Available Open Access under CC-BY-NC licence and edited by a leading expert, this is an important book for anyone seeking to understand one of today’s most significant determinants of health. This volume commemorates the life, work and foundational views of Kurt Gödel (1906–78), most famous for his hallmark works on the completeness of first-order logic, the incompleteness of number theory, and the consistency - with the ... Introduction to concepts of category theory — categories, functors, natural transformations, the Yoneda lemma, limits and colimits, adjunctions, monads — revisits a broad range of mathematical examples from the categorical perspective. ... Found inside – Page iThis book uncovers mathematical structures underlying natural intelligence and applies category theory as a modeling language for understanding human cognition, giving readers new insights into the nature of human thought. A modern, comprehensive 2010 overview providing an easy introduction for applied scientists who are not versed in mathematics. Found insideWith this book, the author bridges the gap between pure category theory and its numerous applications in homotopy theory, providing the necessary background information to make the subject accessible to graduate students or researchers with ... This truly elementary book on categories introduces retracts, graphs, and adjoints to students and scientists. This is the Scala edition of Category Theory for Programmers by Bartosz Milewski. This book contains code snippets in both Haskell and Scala. Stuffed with moreish puzzles and topped with a generous dusting of wit and charm, How to Bake Pi is a foolproof recipe for a mathematical feast. Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe maticians working in a variety of other fields of Mathematical research. This occurs at several levels. A wide coverage of topics in category theory and computer science is developed in this text, including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the ... Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and ... Found insideCapital and Ideology is destined to be one of the indispensable books of our time, a work that will not only help us understand the world, but that will change it. Found insideIn this book, educators, instructional designers, librarians, administrators and scholars reflect on how to leverage constructivist, authentic, collaborative and complex interactive educational experiences through the use of these ... Found insideCategory theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond. An array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. This book is an attempt to give a systematic presentation of both logic and type theory from a categorical perspective, using the unifying concept of fibred category. "This book presents a modern, category-theory-based approach to topology to supplement the more traditional algebraic topology graduate course"-- This book presents a detailed, self-contained theory of continuous mappings. Beginning postgraduate mathematicians will find this book an excellent introduction to all of the basics of category theory. Found inside – Page iThis book records my efforts over the past four years to capture in words a description of the form and function of Mathematics, as a background for the Philosophy of Mathematics. This concise, original text for a one-semester course on the subject is derived from courses that author Emily Riehl taught at Harvard and Johns Hopkins Universities. A short introduction ideal for students learning category theory for the first time. 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