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

ISBN: 9781400889846 | 408 pages | 11 Mb


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

Publisher: Princeton University Press

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

Amazon.com: What Can Be Computed?: A Practical Guide to the 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  John MacCormick | Dickinson College Associate Professor of Computer Science. B.A., University of Cambridge, 1993; M.S., University of Auckland, 1996; Ph.D., University of of computer science. New book: What Can Be Computed? A Practical Guide to the Theory ofComputation. This is an undergraduate textbook for a course on Theory ofComputation. Introduction to the Theory of Computation, 3rd ed. - The Swiss Bay ties of computer hardware, software, and certain applications thereof. In study- ing this subject, we seek to determine what can and cannot be computed, how quickly, with how much memory, and on which type of computational model. The subject has obvious connections with engineering practice, and, as in many sciences  The Church-Turing Thesis (Stanford Encyclopedia of Philosophy) 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  Theory of computation - Wikipedia In theoretical computer science and mathematics, the theory of computation is the branch that deals with how efficiently problems can be solved on a model of computation, using an algorithm. The field is divided into three major branches: automata theory and language, computability theory, and computational complexity  Browse Princeton Catalog in COMPUTERS - Computer Science Introduction to Computational Science: Modeling and Simulation for the Sciences - Second Edition: Shiflet, A. and Shiflet, G. (Hardcover and eBook) What CanBe Computed?: A Practical Guide to the Theory of Computation: MacCormick, J. ( Hardcover and eBook)  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. 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   The Theory and Practice of Navigation and Nautical Astronomy. With - Google Books Result John Radford YOUNG - ‎1856 A Practical Approach to Morse-Smale Complex Computation are given at the vertices of a closure-finite and weak topology (CW) complex, therefore enabling computation on a wide variety of meshes such as regular . In our approach, we utilize discrete Morse theory as presented by. Forman [10]. Lewiner . We will use V-paths to compute the MS complex of a discrete gradient field. What Can Be Computed? - What Can Be Computed? 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. Princeton University Press. Computer programming - Wikipedia The purpose of programming is to find a sequence of instructions that will automate performing a specific task or solving a given problem. The process of programming thus often requires expertise in many different subjects, including knowledge of the application domain, specialized algorithms, and formal logic. Related  What Can Be Computed?: A Practical Guide to the Theory of An accessible and rigorous textbook for introducing undergraduates to computerscience theory. What 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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