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Author: R. F. C. Walters Publisher: Cambridge University Press ISBN: 9780521422260 Category : Computers Languages : en Pages : 180
Book Description
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Author: R. F. C. Walters Publisher: Cambridge University Press ISBN: 9780521422260 Category : Computers Languages : en Pages : 180
Book Description
Category theory has become increasingly important and popular in computer science, and many universities now have introductions to category theory as part of their courses for undergraduate computer scientists. The author is a respected category theorist and has based this textbook on a course given over the last few years at the University of Sydney. The theory is developed in a straightforward way, and is enriched with many examples from computer science. Thus this book meets the needs of undergradute computer scientists, and yet retains a level of mathematical correctness that will broaden its appeal to include students of mathematics new to category theory.
Author: Benjamin C. Pierce Publisher: MIT Press ISBN: 0262326450 Category : Computers Languages : en Pages : 117
Book Description
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
Author: Bartosz Milewski Publisher: ISBN: 9780464243878 Category : Languages : en Pages :
Book Description
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.
Author: Michael Barr Publisher: ISBN: Category : Computers Languages : en Pages : 352
Book Description
A wide coverage of topics in category theory and computer science is developed in this text, including introductory treatments of cartesian closed categories, sketches and elementary categorical model theory, and triples. Over 300 exercises are included.
Author: John Walker Gray Publisher: American Mathematical Soc. ISBN: 0821851004 Category : Mathematics Languages : en Pages : 394
Book Description
Presents the proceedings of AMS-IMS-SIAM Summer Research Conference on Categories in Computer Science and Logic that was held at the University of Colorado in Boulder. This book discusses the use of category theory in formalizing aspects of computer programming and program design.
Author: Noson S. Yanofsky Publisher: Cambridge University Press ISBN: 9781108792745 Category : Mathematics Languages : en Pages : 150
Book Description
Using basic category theory, this Element describes all the central concepts and proves the main theorems of theoretical computer science. Category theory, which works with functions, processes, and structures, is uniquely qualified to present the fundamental results of theoretical computer science. In this Element, readers will meet some of the deepest ideas and theorems of modern computers and mathematics, such as Turing machines, unsolvable problems, the P=NP question, Kurt Gödel's incompleteness theorem, intractable problems, cryptographic protocols, Alan Turing's Halting problem, and much more. The concepts come alive with many examples and exercises.
Author: Andrea Asperti Publisher: MIT Press (MA) ISBN: Category : Computers Languages : en Pages : 330
Book Description
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.
Author: Roy L. Crole Publisher: Cambridge University Press ISBN: 9780521457019 Category : Computers Languages : en Pages : 362
Book Description
This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories. It introduces the reader to ordered set theory, lattices and domains, and this material provides plenty of examples for an introduction to category theory, which covers categories, functors, natural transformations, the Yoneda lemma, cartesian closed categories, limits, adjunctions and indexed categories. Four kinds of formal system are considered in detail, namely algebraic, functional, polymorphic functional, and higher order polymorphic functional type theory. For each of these the categorical semantics are derived and results about the type systems are proved categorically. Issues of soundness and completeness are also considered. Aimed at advanced undergraduates and beginning graduates, this book will be of interest to theoretical computer scientists, logicians and mathematicians specializing in category theory.
Author: Brendan Fong Publisher: Cambridge University Press ISBN: 1108482295 Category : Computers Languages : en Pages : 351
Book Description
Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Author: R. F. C. Walters
Author: R. F. C. Walters
Author: Benjamin C. Pierce
Author: Bartosz Milewski
Author: Michael Barr
Author: John Walker Gray
Author: Noson S. Yanofsky
Author: Andrea Asperti
Author: Roy L. Crole
Author: Brendan Fong
Author: Chase Roberts