Category Theory in Context

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Publisher : Courier Dover Publications
ISBN 13 : 0486820807
Total Pages : 272 pages
Book Rating : 4.04/5 ( download)

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Book Synopsis Category Theory in Context by : Emily Riehl

Download or read book Category Theory in Context written by Emily Riehl and published by Courier Dover Publications. This book was released on 2017-03-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. 2016 edition.

Categories and Contexts

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Publisher : Oxford University Press on Demand
ISBN 13 : 0199270570
Total Pages : 424 pages
Book Rating : 4.76/5 ( download)

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Book Synopsis Categories and Contexts by : Reader in History and Public Policy Faculty of History Simon Szreter

Download or read book Categories and Contexts written by Reader in History and Public Policy Faculty of History Simon Szreter and published by Oxford University Press on Demand. This book was released on 2004-03-18 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Demographers tend to analyse population issues scientifically through sets of fixed social categories that are divorced from dynamic relationships and local contexts and processes. This volume questions these fixed categories.

Key Categories in the Study of Religion

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Publisher : NAASR Working Papers
ISBN 13 : 9781781799659
Total Pages : 0 pages
Book Rating : 4.52/5 ( download)

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Book Synopsis Key Categories in the Study of Religion by : Rebekka King

Download or read book Key Categories in the Study of Religion written by Rebekka King and published by NAASR Working Papers. This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Key Categories in the Study of Religion builds upon the groundwork laid by previous NAASR Working Papers titles in order to bring us full circle to the symbiotic relationship between context and critique. This volume assembles diverse sets of data to consider pertinent categories in which critique occurs. By looking at intentionally disparate case studies, the volume centers on four key contextual categories which stand at the heart of the academic study of religion: Citizenship and Politics, Class and Economy, Gender and Sexuality, and Race and Ethnicity. The contributors to this volume explore questions concerning how scholars construct such categories and/or critique scholars who do? Who decides how to approach the critical study of these topics? What impact does the context of a scholar's research have on the means and method of a given critique? Using these enquiries as a starting point, Key Categories in the Study of Religion investigates the ways that method, theory, and data are mobilized via context as the primary impetus for critical analysis. Each section begins with an orienting essay that explores its category. These introductory chapters include: i) an analysis of the construction of categories in academic literature; ii) an argument either advocating or critiquing scholarship carried out in that vein; and iii) an exploration of its implications for the study of religion. Each chapter is followed by four responses authored by scholars intentionally selected to highlight diverse contexts: subjects, fields, and methods. They extend the orienting essay's conclusions by offering novel analysis vis-a-vis their own scholarly expertise and subject matter. These chapters underscore instances of both congruence and difference to further refine our understanding of possible forms of critique relevant to each category.

Re-Assessing Modalising Expressions

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Publisher : John Benjamins Publishing Company
ISBN 13 : 9027260524
Total Pages : 352 pages
Book Rating : 4.29/5 ( download)

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Book Synopsis Re-Assessing Modalising Expressions by : Pascal Hohaus

Download or read book Re-Assessing Modalising Expressions written by Pascal Hohaus and published by John Benjamins Publishing Company. This book was released on 2020-11-15 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mood, modality and evidentiality are popular and dynamic areas in linguistics. Re-Assessing Modalising Expressions – Categories, co-text, and context focuses on the specific issue of the ways language users express permission, obligation, volition (intention), possibility and ability, necessity and prediction linguistically. Using a range of evidence and corpus data collected from different sources, the authors of this volume examine the distribution and functions of a range of patterns involving modalising expressions as predominantly found in standard American English, British English or Hong Kong English, but also in Japanese. The authors are particularly interested in addressing (co-)textual manifestations of modalising expressions as well as their distribution across different text-types and thus filling a gap research was unable to plug in the past. Thoughts on categorising or re-categorising modalising expressions initiate and complement a multi-perspectival enterprise that is intended to bring research in this area a step forward.

Understanding Context

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Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449326560
Total Pages : 464 pages
Book Rating : 4.62/5 ( download)

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Book Synopsis Understanding Context by : Andrew Hinton

Download or read book Understanding Context written by Andrew Hinton and published by "O'Reilly Media, Inc.". This book was released on 2014-12-02 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: To make sense of the world, we’re always trying to place things in context, whether our environment is physical, cultural, or something else altogether. Now that we live among digital, always-networked products, apps, and places, context is more complicated than ever—starting with "where" and "who" we are. This practical, insightful book provides a powerful toolset to help information architects, UX professionals, and web and app designers understand and solve the many challenges of contextual ambiguity in the products and services they create. You’ll discover not only how to design for a given context, but also how design participates in making context. Learn how people perceive context when touching and navigating digital environments See how labels, relationships, and rules work as building blocks for context Find out how to make better sense of cross-channel, multi-device products or services Discover how language creates infrastructure in organizations, software, and the Internet of Things Learn models for figuring out the contextual angles of any user experience

Categories in Context

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Publisher : Berghahn Books
ISBN 13 : 1789201888
Total Pages : 286 pages
Book Rating : 4.88/5 ( download)

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Book Synopsis Categories in Context by : Isabelle Berrebi-Hoffmann

Download or read book Categories in Context written by Isabelle Berrebi-Hoffmann and published by Berghahn Books. This book was released on 2019-03-27 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite the wealth of empirical research currently available on the interrelationships of gender and labor, we still know comparatively little about the forms of classification and categorization that have helped shape these social phenomena over time. Categories in Context seeks to enrich our understanding of how cognitive categories such as status, law, and rights have been produced, comprehended, appropriated, and eventually transformed by relevant actors. By focusing on specific developments in France and Germany through a transnational lens, this volume produces insights that can be applied to a wide variety of political, social, and historical contexts.

Categories for the Working Mathematician

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Publisher : Springer Science & Business Media
ISBN 13 : 1475747217
Total Pages : 320 pages
Book Rating : 4.18/5 ( download)

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Book Synopsis Categories for the Working Mathematician by : Saunders Mac Lane

Download or read book Categories for the Working Mathematician written by Saunders Mac Lane and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. It then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Categorical Logic and Type Theory

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Publisher : Gulf Professional Publishing
ISBN 13 : 9780444508539
Total Pages : 784 pages
Book Rating : 4.38/5 ( download)

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Book Synopsis Categorical Logic and Type Theory by : B. Jacobs

Download or read book Categorical Logic and Type Theory written by B. Jacobs and published by Gulf Professional Publishing. This book was released on 2001-05-10 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. Its intended audience consists of logicians, type theorists, category theorists and (theoretical) computer scientists.

Categorical Homotopy Theory

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Publisher : Cambridge University Press
ISBN 13 : 1139952633
Total Pages : 371 pages
Book Rating : 4.37/5 ( download)

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Book Synopsis Categorical Homotopy Theory by : Emily Riehl

Download or read book Categorical Homotopy Theory written by Emily Riehl and published by Cambridge University Press. This book was released on 2014-05-26 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Part I discusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Emily Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part II, Riehl further examines this topic, separating categorical arguments from homotopical ones. Part III treats the most ubiquitous axiomatic framework for homotopy theory - Quillen's model categories. Here, Riehl simplifies familiar model categorical lemmas and definitions by focusing on weak factorization systems. Part IV introduces quasi-categories and homotopy coherence.

How People Learn II

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Publisher : National Academies Press
ISBN 13 : 0309459672
Total Pages : 347 pages
Book Rating : 4.79/5 ( download)

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Book Synopsis How People Learn II by : National Academies of Sciences, Engineering, and Medicine

Download or read book How People Learn II written by National Academies of Sciences, Engineering, and Medicine and published by National Academies Press. This book was released on 2018-09-27 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many reasons to be curious about the way people learn, and the past several decades have seen an explosion of research that has important implications for individual learning, schooling, workforce training, and policy. In 2000, How People Learn: Brain, Mind, Experience, and School: Expanded Edition was published and its influence has been wide and deep. The report summarized insights on the nature of learning in school-aged children; described principles for the design of effective learning environments; and provided examples of how that could be implemented in the classroom. Since then, researchers have continued to investigate the nature of learning and have generated new findings related to the neurological processes involved in learning, individual and cultural variability related to learning, and educational technologies. In addition to expanding scientific understanding of the mechanisms of learning and how the brain adapts throughout the lifespan, there have been important discoveries about influences on learning, particularly sociocultural factors and the structure of learning environments. How People Learn II: Learners, Contexts, and Cultures provides a much-needed update incorporating insights gained from this research over the past decade. The book expands on the foundation laid out in the 2000 report and takes an in-depth look at the constellation of influences that affect individual learning. How People Learn II will become an indispensable resource to understand learning throughout the lifespan for educators of students and adults.