What Can Be Computed?: A Practical Guide to the Theory of Computation by John MacCormick

What Can Be Computed?: A Practical Guide to the Theory of Computation
John MacCormick
Page: 408
Format: pdf, ePub, mobi, fb2
ISBN: 9781400889846
Publisher: Princeton University Press
What Can Be Computed?: A Practical Guide to the Theory of Computation

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What Can Be Computed?: A Practical Guide to the Theory of Computation by John MacCormick An accessible and rigorous textbook for introducing undergraduates to computer science theory What Can Be Computed? is a uniquely accessible yet rigorous introduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and requiring minimal prerequisites, the book focuses on the essential fundamentals of computer science theory and features a practical approach that uses real computer programs (Python and Java) and encourages active experimentation. It is also ideal for self-study and reference. The book covers the standard topics in the theory of computation, including Turing machines and finite automata, universal computation, nondeterminism, Turing and Karp reductions, undecidability, time-complexity classes such as P and NP, and NP-completeness, including the Cook-Levin Theorem. But the book also provides a broader view of computer science and its historical development, with discussions of Turing's original 1936 computing machines, the connections between undecidability and Gödel's incompleteness theorem, and Karp's famous set of twenty-one NP-complete problems. Throughout, the book recasts traditional computer science concepts by considering how computer programs are used to solve real problems. Standard theorems are stated and proven with full mathematical rigor, but motivation and understanding are enhanced by considering concrete implementations. The book's examples and other content allow readers to view demonstrations of--and to experiment with—a wide selection of the topics it covers. The result is an ideal text for an introduction to the theory of computation. An accessible and rigorous introduction to the essential fundamentals of computer science theory, written specifically for undergraduates taking introduction to the theory of computation Features a practical, interactive approach using real computer programs (Python in the text, with Java alternatives online) to enhance motivation and understanding Gives equal emphasis to computability and complexity Includes special topics that demonstrate the profound nature of key ideas in the theory of computation Features a companion website that includes additional materials

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        Editorial Reviews. From the Back Cover. "This wonderful book explores thetheory of computing from a practical viewpoint. John MacCormick covers the basic concepts of computability and complexity, what we can and cannotcompute--keeping the material grounded by connecting it with Python--the popular programming 
        Strategies for basing the CS theory course on non-decision problems
        timately, this approach could be used to teach the theory course earlier in the curriculum and to a more diverse audience. . the consequent educational benefits to students. 3 A practical definition of computational prob- lems WhatCan Be Computed?: A Practical Guide to the Theory of Computation.
        Browse Princeton Catalog in COMPUTERS - Computer Science
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        The Church-Turing thesis concerns the concept of an effective or systematic or mechanical method in logic, mathematics and computer science. M will, if carried out without error, produce the desired result in a finite number of steps;; Mcan (in practice or in principle) be carried out by a human being 
        What Can Be Computed?: A Practical Guide to the Theory of
        An accessible and rigorous textbook for introducing undergraduates to computerscience theoryWhat Can Be Computed? is a uniquely accessible yet rigorousintroduction to the most profound ideas at the heart of computer science. Crafted specifically for undergraduates who are studying the subject for the first time, and

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