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Author: Emily Riehl
Publisher: Courier Dover Publications
ISBN: 0486820807
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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.
Author: Emily Riehl
Publisher: Courier Dover Publications
ISBN: 0486820807
Category : Mathematics
Languages : en
Pages : 272
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Book Description
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.
Author: Reader in History and Public Policy Faculty of History Simon Szreter
Publisher: Oxford University Press on Demand
ISBN: 0199270570
Category : Business & Economics
Languages : en
Pages : 424
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Book Description
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.
Author: Pascal Hohaus
Publisher: John Benjamins Publishing Company
ISBN: 9027260524
Category : Language Arts & Disciplines
Languages : en
Pages : 352
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Book Description
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.
Author: Isabelle Berrebi-Hoffmann
Publisher: Berghahn Books
ISBN: 1789201888
Category : Social Science
Languages : en
Pages : 286
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Book Description
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.
Author: Saunders Mac Lane
Publisher: Springer Science & Business Media
ISBN: 1475747217
Category : Mathematics
Languages : en
Pages : 320
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Book Description
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.
Author: Rebekka King
Publisher: NAASR Working Papers
ISBN: 9781781799659
Category : Religion
Languages : en
Pages : 0
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Book Description
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.
Author: B. Jacobs
Publisher: Gulf Professional Publishing
ISBN: 9780444508539
Category : Computers
Languages : en
Pages : 784
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Book Description
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.
Author: Stuart A. Karabenick
Publisher: Routledge
ISBN: 1135810516
Category : Education
Languages : en
Pages : 335
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Book Description
Building on Karabenick’s earlier volume on this topic and maintaining its high standards of scholarship and intellectual rigor, Help Seeking in Academic Settings: Goals, Groups, and Contexts brings together contemporary work that is theoretically as well as practically important. It highlights current trends in the area and gives expanded attention to applications to teaching and learning. The contributors represent an internationally recognized group of scholars and researchers who provide depth of analysis and breadth of coverage. Help seeking is currently considered an important learning strategy that is linked to students’ achievement goals and academic performance. This volume not only provides answers to who, why, and when learners seek help, but raises questions for readers to consider for future research. Chapters examine: *help seeking as a self-regulated learning strategy and its relationship to achievement goal theory; *help seeking in collaborative groups; *culture and help seeking in K-12 and college contexts; *help seeking and academic support services (such as academic advising centers); *help seeking in computer-based interactive learning environments; *help seeking in response to peer harassment at school; and *help seeking in non-academic settings such as the workplace. This book is intended for researchers, academic support personnel,and graduate students across the field of educational psychology, particularly those interested in student motivation and self-regulation.
Author: Gregory Maxwell Kelly
Publisher: CUP Archive
ISBN: 9780521287029
Category : Mathematics
Languages : en
Pages : 260
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Book Description
Author: Emily Riehl
Publisher: Cambridge University Press
ISBN: 1139952633
Category : Mathematics
Languages : en
Pages : 371
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Book Description
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.
