000 a
999 _c30584
_d30584
008 220103b xxu||||| |||| 00| 0 eng d
020 _a9780691170664
082 _a004
_bMAC
100 _aMacCormick, John
245 _aWhat can be computed? : a practical guide to the theory of computation
260 _bPrinceton University Press,
_c2018
_aPrinceton :
300 _axix, 383 p. ;
_bill.,
_c27 cm
365 _b85.00
_cUSD
_d78.20
504 _aIncludes bibliographical references and index.
520 _aWhat 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.
650 _aComputer science
650 _aComputer science, Philosophy
650 _aComputer science, History
650 _aComputers and IT
942 _2ddc
_cBK