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What Can Be Computed

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What Can Be Computed

Sách keo gáy, Bìa mềm
 
Thể loại:Computers - Computer Science
 
Năm:2018
 
In lần thứ:1
 
Ngôn ngữ:english
 
Trang:408 / 405
 
 
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 forthcoming 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
 
• Lecture slides and Python programs are available at whatcanbecomputed