Abstract and Concrete Categories

Abstract and Concrete Categories PDF Author: Jiri Adamek
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 504

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Book Description
A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.

Abstract and Concrete Categories

Abstract and Concrete Categories PDF Author: Jiri Adamek
Publisher:
ISBN: 9780486469348
Category : Categories (Mathematics)
Languages : en
Pages : 0

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Book Description
This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures, offering a unifying perspective on earlier work and summarizing recent developments. Numerous examples, ranging from general to specific, illuminate the text. 1990 edition, updated 2004.

Category Theory in Context

Category Theory in Context PDF Author: Emily Riehl
Publisher: Courier Dover Publications
ISBN: 0486820807
Category : Mathematics
Languages : en
Pages : 273

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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.

Proceedings of the Conference on Categorical Algebra

Proceedings of the Conference on Categorical Algebra PDF Author: S. Eilenberg
Publisher: Springer Science & Business Media
ISBN: 3642999026
Category : Mathematics
Languages : en
Pages : 571

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Book Description
This volume contains the articles contributed to the Conference on Categorical Algebra, held June 7-12,1965, at the San Diego campus of the University of California under the sponsorship of the United States Air Force Office of Scientific Research. Of the thirty-seven mathemati cians, who were present seventeen presented their papers in the form of lectures. In addition, this volume contains papers contributed by other attending participants as well as by those who, after having planned to attend, were unable to do so. The editors hope to have achieved a representative, if incomplete, cover age of the present activities in Categorical Algebra within the United States by bringing together this group of mathematicians and by solici ting the articles contained in this volume. They also hope that these Proceedings indicate the trend of research in Categorical Algebra in this country. In conclusion, the editors wish to thank the participants and contrib. utors to these Proceedings for their continuous cooperation and encour agement. Our thanks are also due to the Springer-Verlag for publishing these Proceedings in a surprisingly short time after receiving the manu scripts.

Category Theory

Category Theory PDF Author: Horst Herrlich
Publisher: Addison Wesley Publishing Company
ISBN:
Category : Education
Languages : en
Pages : 430

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Book Description


Concrete Abstractions

Concrete Abstractions PDF Author: Max Hailperin
Publisher: Max Hailperin
ISBN: 0534952119
Category : Abstract data types (Computer science).
Languages : en
Pages : 686

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Book Description
CONCRETE ABSTRACTIONS offers students a hands-on, abstraction-based experience of thinking like a computer scientist. This text covers the basics of programming and data structures, and gives first-time computer science students the opportunity to not only write programs, but to prove theorems and analyze algorithms as well. Students learn a variety of programming styles, including functional programming, assembly-language programming, and object-oriented programming (OOP). While most of the book uses the Scheme programming language, Java is introduced at the end as a second example of an OOP system and to demonstrate concepts of concurrent programming.

The Dialectics of the Abstract and the Concrete in Marx's Capital

The Dialectics of the Abstract and the Concrete in Marx's Capital PDF Author: E. V. Ilyenkov
Publisher: Aakar Books
ISBN: 9788189833381
Category : Capital
Languages : en
Pages : 300

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Book Description
The book presents an integral Marxist conception of the dialectics and methodology of scientific theoretical cognition, of the dialectical interrelation between the abstract and the concrete, of the unity of the historical and the logical, of the correlat

Relations: Concrete, Abstract, And Applied - An Introduction

Relations: Concrete, Abstract, And Applied - An Introduction PDF Author: Herbert Toth
Publisher: World Scientific
ISBN: 9811220360
Category : Mathematics
Languages : en
Pages : 573

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Book Description
The book is intended as an invitation to the topic of relations on a rather general basis. It fills the gap between the basic knowledge offered in countless introductory papers and books (usually comprising orders and equivalences) and the highly specialized monographs on mainly relation algebras, many-valued (fuzzy) relations, or graphs. This is done not only by presenting theoretical results but also by giving hints to some of the many interesting application areas (also including their respective theoretical basics).This book is a new — and the first of its kind — compilation of known results on binary relations. It offers relational concepts in both reasonable depth and broadness, and also provides insight into the vast diversity of theoretical results as well as application possibilities beyond the commonly known examples.This book is unique by the spectrum of the topics it handles. As indicated in its title these are:

Concrete Approach to Abstract Algebra

Concrete Approach to Abstract Algebra PDF Author: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486824616
Category : Mathematics
Languages : en
Pages : 241

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Book Description
Brief, clear, and well written, this introductory treatment bridges the gap between traditional and modern algebra. Includes exercises with complete solutions. The only prerequisite is high school-level algebra. 1959 edition.

Language, Mind and Body

Language, Mind and Body PDF Author: John E. Joseph
Publisher: Cambridge University Press
ISBN: 110714955X
Category : Language Arts & Disciplines
Languages : en
Pages : 293

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Book Description
Where is language? Centuries of efforts to 'incorporate' language lie behind current concepts of extended mind and embodied cognition. This book examines this question.

Basic Category Theory

Basic Category Theory PDF Author: Tom Leinster
Publisher: Cambridge University Press
ISBN: 1107044243
Category : Mathematics
Languages : en
Pages : 193

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