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What Can Be Computed?: A Practical Guide to the Theory of Computation True PDF

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Books : Computers and Technology : English
 

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

 By John MacCormick

Published by Princeton
University Press in 2018-PDF  

 Description

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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