Abstract And Concrete Categories
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Author | : Jiri Adamek |
Publisher | : |
Total Pages | : 0 |
Release | : 2009 |
Genre | : Categories (Mathematics) |
ISBN | : 9780486469348 |
Download Abstract and Concrete Categories Book in PDF, Epub and Kindle
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.
Author | : Jiri Adamek |
Publisher | : Wiley-Interscience |
Total Pages | : 504 |
Release | : 1990-04-26 |
Genre | : Mathematics |
ISBN | : |
Download Abstract and Concrete Categories Book in PDF, Epub and Kindle
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.
Author | : Emily Riehl |
Publisher | : Courier Dover Publications |
Total Pages | : 273 |
Release | : 2017-03-09 |
Genre | : Mathematics |
ISBN | : 0486820807 |
Download Category Theory in Context Book in PDF, Epub and Kindle
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 | : S. Eilenberg |
Publisher | : Springer Science & Business Media |
Total Pages | : 571 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642999026 |
Download Proceedings of the Conference on Categorical Algebra Book in PDF, Epub and Kindle
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.
Author | : E. V. Ilyenkov |
Publisher | : Aakar Books |
Total Pages | : 300 |
Release | : 2008 |
Genre | : Capital |
ISBN | : 9788189833381 |
Download The Dialectics of the Abstract and the Concrete in Marx's Capital Book in PDF, Epub and Kindle
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
Author | : Horst Herrlich |
Publisher | : Addison Wesley Publishing Company |
Total Pages | : 430 |
Release | : 1973 |
Genre | : Education |
ISBN | : |
Download Category Theory Book in PDF, Epub and Kindle
Author | : Max Hailperin |
Publisher | : Max Hailperin |
Total Pages | : 686 |
Release | : 1999 |
Genre | : Abstract data types (Computer science). |
ISBN | : 0534952119 |
Download Concrete Abstractions Book in PDF, Epub and Kindle
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.
Author | : Herbert Toth |
Publisher | : World Scientific |
Total Pages | : 573 |
Release | : 2020-06-22 |
Genre | : Mathematics |
ISBN | : 9811220360 |
Download Relations: Concrete, Abstract, And Applied - An Introduction Book in PDF, Epub and Kindle
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:
Author | : Brendan Fong |
Publisher | : Cambridge University Press |
Total Pages | : 351 |
Release | : 2019-07-18 |
Genre | : Computers |
ISBN | : 1108482295 |
Download An Invitation to Applied Category Theory Book in PDF, Epub and Kindle
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Author | : W. W. Sawyer |
Publisher | : Courier Dover Publications |
Total Pages | : 241 |
Release | : 2018-08-15 |
Genre | : Mathematics |
ISBN | : 0486824616 |
Download Concrete Approach to Abstract Algebra Book in PDF, Epub and Kindle
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.