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Applications Of Categories In Computer Science
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Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce
Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applications of Categories in Computer Science by : M. P. Fourman
Download or read book Applications of Categories in Computer Science written by M. P. Fourman and published by Cambridge University Press. This book was released on 1992-06-26 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains selected papers from the London Mathematical Society Symposium on the subject which was held at the University of Durham. Participants at the conference were leading computer scientists and mathematicians working in the area and this volume reflects the excitement and importance of the meeting. All the papers have been refereed and represent some of the most important and current ideas. Hence this book will be essential to mathematicians and computer scientists working in the applications of category theory.
Book Synopsis Categories and Computer Science by : R. F. C. Walters
Download or read book Categories and Computer Science written by R. F. C. Walters and published by Cambridge University Press. This book was released on 1991 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Practical Applications of Category Theory in Computer Science by : Richard Aragon
Download or read book Practical Applications of Category Theory in Computer Science written by Richard Aragon and published by Independently Published. This book was released on 2024-06-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unleash the Power of Abstraction: Master Category Theory for Real-World Computing Delve into the world of category theory - a powerful mathematical framework that's revolutionizing how we think about and solve complex problems in computer science. "Practical Applications of Category Theory in Computer Science" is your comprehensive guide to understanding and applying this seemingly abstract field to concrete challenges in software development. What You'll Discover: Intuitive Explanations: Demystify the core concepts of category theory with clear explanations and illustrative examples drawn from the world of programming. Practical Applications: Explore how category theory can enhance your work in functional programming, software architecture, data modeling, machine learning, and more. Real-World Solutions: Learn how to apply abstract categorical principles to solve concrete problems, leading to more elegant, efficient, and reliable code. A Bridge Between Theory and Practice: Gain a deeper understanding of the theoretical foundations of computer science while discovering practical tools to elevate your craft. Who This Book Is For: Intermediate to Advanced Programmers: If you're comfortable with programming concepts and eager to explore the theoretical underpinnings of your work, this book is for you. Computer Scientists: Whether you're focused on software engineering, data science, or machine learning, category theory can provide you with powerful tools for abstraction and problem-solving. Curious Minds: If you're simply intrigued by the idea of applying abstract mathematics to real-world problems, this book will satisfy your curiosity and expand your horizons. Why Category Theory Matters: Category theory offers a fresh perspective on complex systems. It emphasizes relationships, structure, and composition - key concepts that resonate deeply with the challenges faced by computer scientists. By mastering category theory, you'll gain a deeper understanding of the fundamental principles that underpin software development and unlock new possibilities for innovation. Don't miss out on this opportunity to revolutionize your approach to computer science. "Practical Applications of Category Theory in Computer Science" is your essential guide to harnessing the power of abstraction for real-world computing.
Book Synopsis Category Theory for Computing Science by : Michael Barr
Download or read book Category Theory for Computing Science written by Michael Barr and published by . This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Applications of Categories in Computer Science by : M. P. Fourman
Download or read book Applications of Categories in Computer Science written by M. P. Fourman and published by . This book was released on 1992 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory and related topics of mathematics have been increasingly applied to computer science in recent years. This book contains selected papers from the London Mathematical Society Symposium on the subject which was held at the University of Durham. Participants at the conference were leading computer scientists and mathematicians working in the area and this volume reflects the excitement and importance of the meeting. All the papers have been refereed and represent some of the most important and current ideas. Hence this book will be essential to mathematicians and computer scientists working in the applications of category theory.
Book Synopsis Category Theory for Programmers (New Edition, Hardcover) by : Bartosz Milewski
Download or read book Category Theory for Programmers (New Edition, Hardcover) written by Bartosz Milewski and published by . This book was released on 2019-08-24 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Category Theory And Applications: A Textbook For Beginners (Second Edition) by : Marco Grandis
Download or read book Category Theory And Applications: A Textbook For Beginners (Second Edition) written by Marco Grandis and published by World Scientific. This book was released on 2021-03-05 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category Theory now permeates most of Mathematics, large parts of theoretical Computer Science and parts of theoretical Physics. Its unifying power brings together different branches, and leads to a better understanding of their roots.This book is addressed to students and researchers of these fields and can be used as a text for a first course in Category Theory. It covers the basic tools, like universal properties, limits, adjoint functors and monads. These are presented in a concrete way, starting from examples and exercises taken from elementary Algebra, Lattice Theory and Topology, then developing the theory together with new exercises and applications.A reader should have some elementary knowledge of these three subjects, or at least two of them, in order to be able to follow the main examples, appreciate the unifying power of the categorical approach, and discover the subterranean links brought to light and formalised by this perspective.Applications of Category Theory form a vast and differentiated domain. This book wants to present the basic applications in Algebra and Topology, with a choice of more advanced ones, based on the interests of the author. References are given for applications in many other fields.In this second edition, the book has been entirely reviewed, adding many applications and exercises. All non-obvious exercises have now a solution (or a reference, in the case of an advanced topic); solutions are now collected in the last chapter.
Book Synopsis An Invitation to Applied Category Theory by : Brendan Fong
Download or read book An Invitation to Applied Category Theory written by Brendan Fong and published by Cambridge University Press. This book was released on 2019-07-18 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Category theory reveals commonalities between structures of all sorts. This book shows its potential in science, engineering, and beyond.
Book Synopsis Categories, Types, and Structures by : Andrea Asperti
Download or read book Categories, Types, and Structures written by Andrea Asperti and published by MIT Press (MA). This book was released on 1991 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce
Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Applications of Categories in Computer Science by : M. P. Fourman
Download or read book Applications of Categories in Computer Science written by M. P. Fourman and published by . This book was released on 1992 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Selected papers reflecting current research in categories and computer science.
Book Synopsis Category Theory for Computing Science by : Michael Barr
Download or read book Category Theory for Computing Science written by Michael Barr and published by . This book was released on 1990 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook for advanced undergraduates, graduates and researchers in computing science and mathematics expounds the basic ideas and construction of category theory, with examples from and applications to computing science. The emphasis is on examples and on understanding the concepts rather than on formal proofs of the theorems. Annotation copyright.
Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce
Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Nominal Sets written by Andrew M. Pitts and published by Cambridge University Press. This book was released on 2013-05-30 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nominal sets provide a promising new mathematical analysis of names in formal languages based upon symmetry, with many applications to the syntax and semantics of programming language constructs that involve binding, or localising names. Part I provides an introduction to the basic theory of nominal sets. In Part II, the author surveys some of the applications that have developed in programming language semantics (both operational and denotational), functional programming and logic programming. As the first book to give a detailed account of the theory of nominal sets, it will be welcomed by researchers and graduate students in theoretical computer science.
Download or read book Category Theory written by Zoran Majkic and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-03-06 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the generation of the arrow-categories of a given category, which is a foundational and distinguishable Category Theory phenomena, in analogy to the foundational role of sets in the traditional set-based Mathematics, for defi nition of natural numbers as well. This inductive transformation of a category into the infinite hierarchy of the arrowcategories is extended to the functors and natural transformations. The author considers invariant categorial properties (the symmetries) under such inductive transformations. The book focuses in particular on Global symmetry (invariance of adjunctions) and Internal symmetries between arrows and objects in a category (in analogy to Field Theories like Quantum Mechanics and General Relativity). The second part of the book is dedicated to more advanced applications of Internal symmetry to Computer Science: for Intuitionistic Logic, Untyped Lambda Calculus with Fixpoint Operators, Labeled Transition Systems in Process Algebras and Modal logics as well as Data Integration Theory.
Book Synopsis Categorical Methods in Computer Science by : Hartmut Ehrig
Download or read book Categorical Methods in Computer Science written by Hartmut Ehrig and published by Springer Science & Business Media. This book was released on 1989-10-11 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains selected papers of the International Workshop on "Categorical Methods in Computer Science - with Aspects from Topology" and of the "6th International Data Type Workshop" held in August/September 1988 in Berlin. The 23 papers of this volume are grouped into three parts: Part 1 includes papers on categorical foundations and fundamental concepts from category theory in computer science. Part 2 presents applications of categorical methods to algebraic specification languages and techniques, data types, data bases, programming, and process specifications. Part 3 comprises papers on categorial aspects from topology which mainly concentrate on special adjoint situations like cartesian closeness, Galois connections, reflections, and coreflections which are of growing interest in categorical topology and computer science.
