Category Theory For Programmers New Edition Hardcover

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Category Theory for Programmers (New Edition, Hardcover)

Author : Bartosz Milewski
Publisher :
ISBN 13 : 9780464243878
Total Pages : pages
Book Rating : 4.2/5 (438 download)

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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.

Basic Category Theory for Computer Scientists

Author : Benjamin C. Pierce
Publisher : MIT Press
ISBN 13 : 0262326450
Total Pages : 117 pages
Book Rating : 4.2/5 (623 download)

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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

An Invitation to Applied Category Theory

Author : Brendan Fong
Publisher : Cambridge University Press
ISBN 13 : 1108582249
Total Pages : 351 pages
Book Rating : 4.1/5 (85 download)

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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 is unmatched in its ability to organize and layer abstractions and to find commonalities between structures of all sorts. No longer the exclusive preserve of pure mathematicians, it is now proving itself to be a powerful tool in science, informatics, and industry. By facilitating communication between communities and building rigorous bridges between disparate worlds, applied category theory has the potential to be a major organizing force. This book offers a self-contained tour of applied category theory. Each chapter follows a single thread motivated by a real-world application and discussed with category-theoretic tools. We see data migration as an adjoint functor, electrical circuits in terms of monoidal categories and operads, and collaborative design via enriched profunctors. All the relevant category theory, from simple to sophisticated, is introduced in an accessible way with many examples and exercises, making this an ideal guide even for those without experience of university-level mathematics.

Coding and Information Theory

Author : Richard Wesley Hamming
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Coding and Information Theory by : Richard Wesley Hamming

Download or read book Coding and Information Theory written by Richard Wesley Hamming and published by Prentice Hall. This book was released on 1986 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focusing on both theory and practical applications, this volume combines in a natural way the two major aspects of information representation--representation for storage (coding theory) and representation for transmission (information theory).

Elements of Functional Programming

Author : Chris Reade
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Elements of Functional Programming by : Chris Reade

Download or read book Elements of Functional Programming written by Chris Reade and published by Addison Wesley Publishing Company. This book was released on 1989 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Software -- Programming Techniques.

Computational Semantics with Functional Programming

Author : Jan van Eijck
Publisher : Cambridge University Press
ISBN 13 : 1139490907
Total Pages : 422 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Computational Semantics with Functional Programming by : Jan van Eijck

Download or read book Computational Semantics with Functional Programming written by Jan van Eijck and published by Cambridge University Press. This book was released on 2010-09-23 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational semantics is the art and science of computing meaning in natural language. The meaning of a sentence is derived from the meanings of the individual words in it, and this process can be made so precise that it can be implemented on a computer. Designed for students of linguistics, computer science, logic and philosophy, this comprehensive text shows how to compute meaning using the functional programming language Haskell. It deals with both denotational meaning (where meaning comes from knowing the conditions of truth in situations), and operational meaning (where meaning is an instruction for performing cognitive action). Including a discussion of recent developments in logic, it will be invaluable to linguistics students wanting to apply logic to their studies, logic students wishing to learn how their subject can be applied to linguistics, and functional programmers interested in natural language processing as a new application area.

Programming Pearls

Author : Jon Bentley
Publisher : Addison-Wesley Professional
ISBN 13 : 0134498038
Total Pages : 262 pages
Book Rating : 4.1/5 (344 download)

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Book Synopsis Programming Pearls by : Jon Bentley

Download or read book Programming Pearls written by Jon Bentley and published by Addison-Wesley Professional. This book was released on 2016-04-21 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: When programmers list their favorite books, Jon Bentley’s collection of programming pearls is commonly included among the classics. Just as natural pearls grow from grains of sand that irritate oysters, programming pearls have grown from real problems that have irritated real programmers. With origins beyond solid engineering, in the realm of insight and creativity, Bentley’s pearls offer unique and clever solutions to those nagging problems. Illustrated by programs designed as much for fun as for instruction, the book is filled with lucid and witty descriptions of practical programming techniques and fundamental design principles. It is not at all surprising that Programming Pearls has been so highly valued by programmers at every level of experience. In this revision, the first in 14 years, Bentley has substantially updated his essays to reflect current programming methods and environments. In addition, there are three new essays on testing, debugging, and timing set representations string problems All the original programs have been rewritten, and an equal amount of new code has been generated. Implementations of all the programs, in C or C++, are now available on the Web. What remains the same in this new edition is Bentley’s focus on the hard core of programming problems and his delivery of workable solutions to those problems. Whether you are new to Bentley’s classic or are revisiting his work for some fresh insight, the book is sure to make your own list of favorites.

Universal Algebra, Algebraic Logic, and Databases

Author : B. Plotkin
Publisher : Springer Science & Business Media
ISBN 13 : 940110820X
Total Pages : 445 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Universal Algebra, Algebraic Logic, and Databases by : B. Plotkin

Download or read book Universal Algebra, Algebraic Logic, and Databases written by B. Plotkin and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern algebra, which not long ago seemed to be a science divorced from real life, now has numerous applications. Many fine algebraic structures are endowed with meaningful contents. Now and then practice suggests new and unexpected structures enriching algebra. This does not mean that algebra has become merely a tool for applications. Quite the contrary, it significantly benefits from the new connections. The present book is devoted to some algebraic aspects of the theory of databases. It consists of three parts. The first part contains information about universal algebra, algebraic logic is the subject of the second part, and the third one deals with databases. The algebraic material of the flI'St two parts serves the common purpose of applying algebra to databases. The book is intended for use by mathematicians, and mainly by algebraists, who realize the necessity to unite theory and practice. It is also addressed to programmers, engineers and all potential users of mathematics who want to construct their models with the help of algebra and logic. Nowadays, the majority of professional mathematicians work in close cooperation with representatives of applied sciences and even industrial technology. It is neces sary to develop an ability to see mathematics in different particular situations. One of the tasks of this book is to promote the acquisition of such skills.

Categories and Computer Science

Author : R. F. C. Walters
Publisher : Cambridge University Press
ISBN 13 : 9780521422260
Total Pages : 180 pages
Book Rating : 4.4/5 (222 download)

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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.

Category Theory for Programmers (Scala Edition, Paperback)

Author : Bartosz Milewski
Publisher :
ISBN 13 : 9780464183648
Total Pages : pages
Book Rating : 4.1/5 (836 download)

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Book Synopsis Category Theory for Programmers (Scala Edition, Paperback) by : Bartosz Milewski

Download or read book Category Theory for Programmers (Scala Edition, Paperback) written by Bartosz Milewski and published by . This book was released on 2019-08-12 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the Scala edition of Category Theory for Programmers by Bartosz Milewski. This book contains code snippets in both Haskell and Scala.

Category Theory for the Sciences

Author : David I. Spivak
Publisher : MIT Press
ISBN 13 : 0262320533
Total Pages : 495 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Category Theory for the Sciences by : David I. Spivak

Download or read book Category Theory for the Sciences written by David I. Spivak and published by MIT Press. This book was released on 2014-10-17 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to category theory as a rigorous, flexible, and coherent modeling language that can be used across the sciences. Category theory was invented in the 1940s to unify and synthesize different areas in mathematics, and it has proven remarkably successful in enabling powerful communication between disparate fields and subfields within mathematics. This book shows that category theory can be useful outside of mathematics as a rigorous, flexible, and coherent modeling language throughout the sciences. Information is inherently dynamic; the same ideas can be organized and reorganized in countless ways, and the ability to translate between such organizational structures is becoming increasingly important in the sciences. Category theory offers a unifying framework for information modeling that can facilitate the translation of knowledge between disciplines. Written in an engaging and straightforward style, and assuming little background in mathematics, the book is rigorous but accessible to non-mathematicians. Using databases as an entry to category theory, it begins with sets and functions, then introduces the reader to notions that are fundamental in mathematics: monoids, groups, orders, and graphs—categories in disguise. After explaining the “big three” concepts of category theory—categories, functors, and natural transformations—the book covers other topics, including limits, colimits, functor categories, sheaves, monads, and operads. The book explains category theory by examples and exercises rather than focusing on theorems and proofs. It includes more than 300 exercises, with solutions. Category Theory for the Sciences is intended to create a bridge between the vast array of mathematical concepts used by mathematicians and the models and frameworks of such scientific disciplines as computation, neuroscience, and physics.

A Common-Sense Guide to Data Structures and Algorithms, Second Edition

Author : Jay Wengrow
Publisher : Pragmatic Bookshelf
ISBN 13 : 1680508059
Total Pages : 714 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis A Common-Sense Guide to Data Structures and Algorithms, Second Edition by : Jay Wengrow

Download or read book A Common-Sense Guide to Data Structures and Algorithms, Second Edition written by Jay Wengrow and published by Pragmatic Bookshelf. This book was released on 2020-08-10 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algorithms and data structures are much more than abstract concepts. Mastering them enables you to write code that runs faster and more efficiently, which is particularly important for todayâ€™s web and mobile apps. Take a practical approach to data structures and algorithms, with techniques and real-world scenarios that you can use in your daily production code, with examples in JavaScript, Python, and Ruby. This new and revised second edition features new chapters on recursion, dynamic programming, and using Big O in your daily work. Use Big O notation to measure and articulate the efficiency of your code, and modify your algorithm to make it faster. Find out how your choice of arrays, linked lists, and hash tables can dramatically affect the code you write. Use recursion to solve tricky problems and create algorithms that run exponentially faster than the alternatives. Dig into advanced data structures such as binary trees and graphs to help scale specialized applications such as social networks and mapping software. Youâ€™ll even encounter a single keyword that can give your code a turbo boost. Practice your new skills with exercises in every chapter, along with detailed solutions. Use these techniques today to make your code faster and more scalable.

From Mathematics to Generic Programming

Author : Alexander A. Stepanov
Publisher : Addison-Wesley Professional
ISBN 13 : 0133491781
Total Pages : 311 pages
Book Rating : 4.1/5 (334 download)

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Book Synopsis From Mathematics to Generic Programming by : Alexander A. Stepanov

Download or read book From Mathematics to Generic Programming written by Alexander A. Stepanov and published by Addison-Wesley Professional. This book was released on 2014-11-13 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this substantive yet accessible book, pioneering software designer Alexander Stepanov and his colleague Daniel Rose illuminate the principles of generic programming and the mathematical concept of abstraction on which it is based, helping you write code that is both simpler and more powerful. If you’re a reasonably proficient programmer who can think logically, you have all the background you’ll need. Stepanov and Rose introduce the relevant abstract algebra and number theory with exceptional clarity. They carefully explain the problems mathematicians first needed to solve, and then show how these mathematical solutions translate to generic programming and the creation of more effective and elegant code. To demonstrate the crucial role these mathematical principles play in many modern applications, the authors show how to use these results and generalized algorithms to implement a real-world public-key cryptosystem. As you read this book, you’ll master the thought processes necessary for effective programming and learn how to generalize narrowly conceived algorithms to widen their usefulness without losing efficiency. You’ll also gain deep insight into the value of mathematics to programming—insight that will prove invaluable no matter what programming languages and paradigms you use. You will learn about How to generalize a four thousand-year-old algorithm, demonstrating indispensable lessons about clarity and efficiency Ancient paradoxes, beautiful theorems, and the productive tension between continuous and discrete A simple algorithm for finding greatest common divisor (GCD) and modern abstractions that build on it Powerful mathematical approaches to abstraction How abstract algebra provides the idea at the heart of generic programming Axioms, proofs, theories, and models: using mathematical techniques to organize knowledge about your algorithms and data structures Surprising subtleties of simple programming tasks and what you can learn from them How practical implementations can exploit theoretical knowledge

How to Design Programs, second edition

Author : Matthias Felleisen
Publisher : MIT Press
ISBN 13 : 0262344122
Total Pages : 793 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis How to Design Programs, second edition by : Matthias Felleisen

Download or read book How to Design Programs, second edition written by Matthias Felleisen and published by MIT Press. This book was released on 2018-05-25 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: A completely revised edition, offering new design recipes for interactive programs and support for images as plain values, testing, event-driven programming, and even distributed programming. This introduction to programming places computer science at the core of a liberal arts education. Unlike other introductory books, it focuses on the program design process, presenting program design guidelines that show the reader how to analyze a problem statement, how to formulate concise goals, how to make up examples, how to develop an outline of the solution, how to finish the program, and how to test it. Because learning to design programs is about the study of principles and the acquisition of transferable skills, the text does not use an off-the-shelf industrial language but presents a tailor-made teaching language. For the same reason, it offers DrRacket, a programming environment for novices that supports playful, feedback-oriented learning. The environment grows with readers as they master the material in the book until it supports a full-fledged language for the whole spectrum of programming tasks. This second edition has been completely revised. While the book continues to teach a systematic approach to program design, the second edition introduces different design recipes for interactive programs with graphical interfaces and batch programs. It also enriches its design recipes for functions with numerous new hints. Finally, the teaching languages and their IDE now come with support for images as plain values, testing, event-driven programming, and even distributed programming.

Answer Set Programming

Author : Vladimir Lifschitz
Publisher : Springer Nature
ISBN 13 : 3030246582
Total Pages : 190 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Answer Set Programming by : Vladimir Lifschitz

Download or read book Answer Set Programming written by Vladimir Lifschitz and published by Springer Nature. This book was released on 2019-08-29 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Answer set programming (ASP) is a programming methodology oriented towards combinatorial search problems. In such a problem, the goal is to find a solution among a large but finite number of possibilities. The idea of ASP came from research on artificial intelligence and computational logic. ASP is a form of declarative programming: an ASP program describes what is counted as a solution to the problem, but does not specify an algorithm for solving it. Search is performed by sophisticated software systems called answer set solvers. Combinatorial search problems often arise in science and technology, and ASP has found applications in diverse areas—in historical linguistic, in bioinformatics, in robotics, in space exploration, in oil and gas industry, and many others. The importance of this programming method was recognized by the Association for the Advancement of Artificial Intelligence in 2016, when AI Magazine published a special issue on answer set programming. The book introduces the reader to the theory and practice of ASP. It describes the input language of the answer set solver CLINGO, which was designed at the University of Potsdam in Germany and is used today by ASP programmers in many countries. It includes numerous examples of ASP programs and present the mathematical theory that ASP is based on. There are many exercises with complete solutions.

The Programmer's Guide To Theory: Great Ideas Explained

Author : Mike James
Publisher :
ISBN 13 : 9781871962437
Total Pages : 216 pages
Book Rating : 4.9/5 (624 download)

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Book Synopsis The Programmer's Guide To Theory: Great Ideas Explained by : Mike James

Download or read book The Programmer's Guide To Theory: Great Ideas Explained written by Mike James and published by . This book was released on 2019-11-24 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer science, specifically the theory of computation, deserves to be better known even among non-computer scientists. The reason is simply that it is full of profound thoughts and ideas. It contains some paradoxes that reveal the limits of human knowledge. It provides ways to reason about information and randomness that are understandable without the need to resort to abstract math. This is not an academic textbook but could be the precursor to reading an academic textbook. In Programmer's Guide to Theory, you will find the fundamental ideas of computer science explained in an informal and yet informative way. The first chapter sets the scene by outlining the challenges of understanding computational theory. After this the content is divided into three parts. The first explores the question "What is Computable?" introducing the Turing Machine, the Halting Problem and Finite State Machines before going on to consider the different types of computing model that are available and the languages they produce. This part also covers the different types of numbers and of infinities which paves the way for considering the topics of Kolmogorov Complexity and randomness, the Axiom of Choice, Godel's Incompleteness and the Lambda Calculus. Part II switches to lower-level concerns - from bits to Boolean logic covering information theory and error correction along the way. Part III dives deeper into computational complexity, considers polynomial-time versus exponential-time problems and then explores the benefits of recursion. It concludes with a discussion of NP (non-deterministic polynomial) versus P (polynomial) algorithms. Don't be put off by this list of unfamiliar concepts. This book sets out to lead you from one topic to the next so that the ideas are unfolded gradually. It does cover all the ideas that are fundamental to computer science, plus some that are not normally included but make things easier to understand, but does so in a very approachable, and even entertaining way. Mike James is editor of I-Programmer.info, an online magazine written by programmers for programmers. He has a BSc in Physics, an MSc in Mathematics and a PhD in Computer Science. His programming career spans several generations of computer technology but he keeps his skills completely up to date. As an author he has published dozens of books and hundreds of print articles, a tradition he now continues online.

Programming in Martin-Löf's Type Theory

Author : Bengt Nordström
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 240 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Programming in Martin-Löf's Type Theory by : Bengt Nordström

Download or read book Programming in Martin-Löf's Type Theory written by Bengt Nordström and published by Oxford University Press, USA. This book was released on 1990 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, several formalisms for program construction have appeared. One such formalism is the type theory developed by Per Martin-Löf. Well suited as a theory for program construction, it makes possible the expression of both specifications and programs within the same formalism. Furthermore, the proof rules can be used to derive a correct program from a specification as well as to verify that a given program has a certain property. This book contains a thorough introduction to type theory, with information on polymorphic sets, subsets, monomorphic sets, and a full set of helpful examples.