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Categories, Types, and Structures

Categories, Types, and Structures
Author: Andrea Asperti
Publisher: MIT Press (MA)
Total Pages: 330
Release: 1991
Genre: Computers
ISBN:

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Category theory is a mathematical subject whose importance in several areas of computer science, most notably the semantics of programming languages and the design of programmes using abstract data types, is widely acknowledged. This book introduces category theory at a level appropriate for computer scientists and provides practical examples in the context of programming language design.


The Discipline of Organizing: Professional Edition

The Discipline of Organizing: Professional Edition
Author: Robert J. Glushko
Publisher: "O'Reilly Media, Inc."
Total Pages: 743
Release: 2014-08-25
Genre: Computers
ISBN: 1491911719

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Note about this ebook: This ebook exploits many advanced capabilities with images, hypertext, and interactivity and is optimized for EPUB3-compliant book readers, especially Apple's iBooks and browser plugins. These features may not work on all ebook readers. We organize things. We organize information, information about things, and information about information. Organizing is a fundamental issue in many professional fields, but these fields have only limited agreement in how they approach problems of organizing and in what they seek as their solutions. The Discipline of Organizing synthesizes insights from library science, information science, computer science, cognitive science, systems analysis, business, and other disciplines to create an Organizing System for understanding organizing. This framework is robust and forward-looking, enabling effective sharing of insights and design patterns between disciplines that weren’t possible before. The Professional Edition includes new and revised content about the active resources of the "Internet of Things," and how the field of Information Architecture can be viewed as a subset of the discipline of organizing. You’ll find: 600 tagged endnotes that connect to one or more of the contributing disciplines Nearly 60 new pictures and illustrations Links to cross-references and external citations Interactive study guides to test on key points The Professional Edition is ideal for practitioners and as a primary or supplemental text for graduate courses on information organization, content and knowledge management, and digital collections. FOR INSTRUCTORS: Supplemental materials (lecture notes, assignments, exams, etc.) are available at http://disciplineoforganizing.org. FOR STUDENTS: Make sure this is the edition you want to buy. There's a newer one and maybe your instructor has adopted that one instead.


Basic Category Theory

Basic Category Theory
Author: Tom Leinster
Publisher: Cambridge University Press
Total Pages: 193
Release: 2014-07-24
Genre: Mathematics
ISBN: 1107044243

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A short introduction ideal for students learning category theory for the first time.


Elements of ∞-Category Theory

Elements of ∞-Category Theory
Author: Emily Riehl
Publisher: Cambridge University Press
Total Pages: 782
Release: 2022-02-10
Genre: Mathematics
ISBN: 1108952194

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The language of ∞-categories provides an insightful new way of expressing many results in higher-dimensional mathematics but can be challenging for the uninitiated. To explain what exactly an ∞-category is requires various technical models, raising the question of how they might be compared. To overcome this, a model-independent approach is desired, so that theorems proven with any model would apply to them all. This text develops the theory of ∞-categories from first principles in a model-independent fashion using the axiomatic framework of an ∞-cosmos, the universe in which ∞-categories live as objects. An ∞-cosmos is a fertile setting for the formal category theory of ∞-categories, and in this way the foundational proofs in ∞-category theory closely resemble the classical foundations of ordinary category theory. Equipped with exercises and appendices with background material, this first introduction is meant for students and researchers who have a strong foundation in classical 1-category theory.


Basic Concepts of Enriched Category Theory

Basic Concepts of Enriched Category Theory
Author: Gregory Maxwell Kelly
Publisher: CUP Archive
Total Pages: 260
Release: 1982-02-18
Genre: Mathematics
ISBN: 9780521287029

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Category Theory for Programmers (New Edition, Hardcover)

Category Theory for Programmers (New Edition, Hardcover)
Author: Bartosz Milewski
Publisher:
Total Pages:
Release: 2019-08-24
Genre:
ISBN: 9780464243878

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Category Theory is one of the most abstract branches of mathematics. It is usually taught to graduate students after they have mastered several other branches of mathematics, like algebra, topology, and group theory. It might, therefore, come as a shock that the basic concepts of category theory can be explained in relatively simple terms to anybody with some experience in programming.That's because, just like programming, category theory is about structure. Mathematicians discover structure in mathematical theories, programmers discover structure in computer programs. Well-structured programs are easier to understand and maintain and are less likely to contain bugs. Category theory provides the language to talk about structure and learning it will make you a better programmer.


From Categories to Homotopy Theory

From Categories to Homotopy Theory
Author: Birgit Richter
Publisher: Cambridge University Press
Total Pages: 402
Release: 2020-04-16
Genre: Mathematics
ISBN: 1108847625

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Category theory provides structure for the mathematical world and is seen everywhere in modern mathematics. With 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 a background in algebraic topology and algebra. The reader is first introduced to category theory, starting with basic definitions and concepts before progressing to more advanced themes. Concrete examples and exercises illustrate the topics, ranging from colimits to constructions such as the Day convolution product. Part II covers important applications of category theory, giving a thorough introduction to simplicial objects including an account of quasi-categories and Segal sets. Diagram categories play a central role throughout the book, giving rise to models of iterated loop spaces, and feature prominently in functor homology and homology of small categories.


Categorical Structures And Their Applications - Proceedings Of The North-west European Category Seminar

Categorical Structures And Their Applications - Proceedings Of The North-west European Category Seminar
Author: Habil Werner Gahler
Publisher: World Scientific
Total Pages: 356
Release: 2004-09-28
Genre: Mathematics
ISBN: 981448170X

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The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich — one of the leading category theorists of the world — to whom this volume is dedicated in view of his 65th birthday. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of the book the reader will find a complete list of Horst Herrlich's publications.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences


The World Atlas of Language Structures

The World Atlas of Language Structures
Author: Martin Haspelmath
Publisher: Oxford University Press
Total Pages: 712
Release: 2005-07-21
Genre: Language Arts & Disciplines
ISBN: 0199255911

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The World Atlas of Language Structures is a book and CD combination displaying the structural properties of the world's languages. 142 world maps and numerous regional maps - all in colour - display the geographical distribution of features of pronunciation and grammar, such as number of vowels, tone systems, gender, plurals, tense, word order, and body part terminology. Each world map shows an average of 400 languages and is accompanied by a fully referenced description ofthe structural feature in question.The CD provides an interactive electronic version of the database which allows the reader to zoom in on or customize the maps, to display bibliographical sources, and to establish correlations between features. The book and the CD together provide an indispensable source of information for linguists and others seeking to understand human languages.The Atlas will be especially valuable for linguistic typologists, grammatical theorists, historical and comparative linguists, and for those studying a region such as Africa, Southeast Asia, North America, Australia, and Europe. It will also interest anthropologists and geographers. More than fifty authors from many different countries have collaborated to produce a work that sets new standards in comparative linguistics. No institution involved in language research can afford to bewithout it.


Earth Structures

Earth Structures
Author: Ivan Vanicek
Publisher: Springer Science & Business Media
Total Pages: 644
Release: 2008-05-30
Genre: Science
ISBN: 1402039646

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Soil represents the oldest and most-used building material, yet up to now the subject of earthen structures has not been fully addressed. This book describes the principles of soil as construction material including its treatment using geosynthetics and stabilization. The book focuses on the principles, logic of processes, understanding of the most important problems, so that all participants in the construction project can build earth structures more safely and economically.