國立高雄大學圖資館 |

Language: English

Back

Limits of computationfrom a programm...

Reus, Bernhard.

Limits of computationfrom a programming perspective /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Limits of computationby Bernhard Reus.
Reminder of title:	from a programming perspective /
Author:	Reus, Bernhard.
Published:	Cham :Springer International Publishing :2016.
Description:	xviii, 348 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Computer programming.
Online resource:	http://dx.doi.org/10.1007/978-3-319-27889-6
ISBN:	9783319278896$q(electronic bk.)

Limits of computationfrom a programming perspective /
Reus, Bernhard.

Limits of computationfrom a programming perspective /[electronic resource] :by Bernhard Reus. - Cham :Springer International Publishing :2016. - xviii, 348 p. :ill., digital ;24 cm. - Undergraduate topics in computer science,1863-7310. - Undergraduate topics in computer science..

Foreword -- Limits? What Limits? -- Part I Computability -- Problems and Effective Procedures -- The WHILE-Language -- Semantics of WHILE -- Extensions of WHILE -- Programs As Data Objects -- A Self-Interpreter for WHILE -- An Undecidable (Non-computable) Problem -- More Undecidable Problems -- Self-referencing Programs -- The Church-Turing Thesis -- Part II Complexity -- Measuring Time Usage -- Complexity Classes -- Robustness of P -- Hierarchy Theorems -- Famous Problems in P -- Common Problems not Known to be in P -- The One-Million-Dollar Question -- How Hard is a Problem? -- Complete Problems -- How to Solve NP-complete Problems? -- Part III Emerging New Models of Computation - "going nano" -- Molecular Computing -- Quantum Computing -- Appendix A: Further Reading - Computability and Complexity Textbooks -- Glossary -- Index.

This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time complexity, including the Halting Problem, Rice's Theorem, Kleene's Recursion Theorem, the Church-Turing Thesis, Hierarchy Theorems, and Cook-Levin's Theorem. Each chapter contains classroom-tested material, including examples and exercises. Links between adjacent chapters provide a coherent narrative. Fundamental results are explained lucidly by means of programs written in a simple, high-level imperative programming language, which only requires basic mathematical knowledge. Throughout the book, the impact of the presented results on the entire field of computer science is emphasised. Examples range from program analysis to networking, from database programming to popular games and puzzles. Numerous biographical footnotes about the famous scientists who developed the subject are also included. "Limits of Computation" offers a thorough, yet accessible, introduction to computability and complexity for the computer science student of the 21st century.

ISBN: 9783319278896$q(electronic bk.)

Standard No.: 10.1007/978-3-319-27889-6doiSubjects--Topical Terms:

181992
Computer programming.

LC Class. No.: QA76.6

Dewey Class. No.: 005.1

Limits of computationfrom a programming perspective /
LDR:03035nmm a2200325 a 4500 001 483786
003 DE-He213
005 20160910132807.0
006 m d
007 cr nn 008maaau
008 161012s2016 gw s 0 eng d
020 $a 9783319278896$q(electronic bk.)
020 $a 9783319278872$q(paper)
024 7 $a 10.1007/978-3-319-27889-6 $2 doi
035 $a 978-3-319-27889-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.6
072 7 $a UMB $2 bicssc
072 7 $a COM051300 $2 bisacsh
082 0 4 $a 005.1 $2 23
090 $a QA76.6 $b .R445 2016
100 1 $a Reus, Bernhard. $3 467831
245 1 0 $a Limits of computation $h [electronic resource] : $b from a programming perspective / $c by Bernhard Reus.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2016.
300 $a xviii, 348 p. : $b ill., digital ; $c 24 cm.
490 1 $a Undergraduate topics in computer science, $x 1863-7310
505 0 $a Foreword -- Limits? What Limits? -- Part I Computability -- Problems and Effective Procedures -- The WHILE-Language -- Semantics of WHILE -- Extensions of WHILE -- Programs As Data Objects -- A Self-Interpreter for WHILE -- An Undecidable (Non-computable) Problem -- More Undecidable Problems -- Self-referencing Programs -- The Church-Turing Thesis -- Part II Complexity -- Measuring Time Usage -- Complexity Classes -- Robustness of P -- Hierarchy Theorems -- Famous Problems in P -- Common Problems not Known to be in P -- The One-Million-Dollar Question -- How Hard is a Problem? -- Complete Problems -- How to Solve NP-complete Problems? -- Part III Emerging New Models of Computation - "going nano" -- Molecular Computing -- Quantum Computing -- Appendix A: Further Reading - Computability and Complexity Textbooks -- Glossary -- Index.
520 $a This textbook discusses the most fundamental and puzzling questions about the foundations of computing. In 23 lecture-sized chapters it provides an exciting tour through the most important results in the field of computability and time complexity, including the Halting Problem, Rice's Theorem, Kleene's Recursion Theorem, the Church-Turing Thesis, Hierarchy Theorems, and Cook-Levin's Theorem. Each chapter contains classroom-tested material, including examples and exercises. Links between adjacent chapters provide a coherent narrative. Fundamental results are explained lucidly by means of programs written in a simple, high-level imperative programming language, which only requires basic mathematical knowledge. Throughout the book, the impact of the presented results on the entire field of computer science is emphasised. Examples range from program analysis to networking, from database programming to popular games and puzzles. Numerous biographical footnotes about the famous scientists who developed the subject are also included. "Limits of Computation" offers a thorough, yet accessible, introduction to computability and complexity for the computer science student of the 21st century.
650 0 $a Computer programming. $3 181992
650 0 $a Computer science $x Mathematics. $3 181991
650 1 4 $a Computer Science. $3 212513
650 2 4 $a Algorithm Analysis and Problem Complexity. $3 273702
650 2 4 $a Mathematics of Algorithmic Complexity. $3 675328
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Undergraduate topics in computer science. $3 559648
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-27889-6
950 $a Computer Science (Springer-11645)