The Annotated Turing: A Guided Tour Through Alan Turing's Historic Paper on Computability and the Turing Machine

ISBN-13: 9780470229057 / Angielski / Miękka / 2008 / 384 str.

Charles Petzold

Opis

Programming Legend Charles Petzold unlocks the secrets of the extraordinary and prescient 1936 paper by Alan M. Turing Mathematician Alan Turing invented an imaginary computer known as the Turing Machine; in an age before computers, he explored the concept of what it meant to be computable, creating the field of computability theory in the process, a foundation of present-day computer programming. The book expands Turing's original 36-page paper with additional background chapters and extensive annotations; the author elaborates on and clarifies many of Turing's statements, making the original difficult-to-read document accessible to present day programmers, computer science majors, math geeks, and others. Interwoven into the narrative are the highlights of Turing's own life: his years at Cambridge and Princeton, his secret work in cryptanalysis during World War II, his involvement in seminal computer projects, his speculations about artificial intelligence, his arrest and prosecution for the crime of "gross indecency," and his early death by apparent suicide at the age of 41.

Spis treści

Introduction vii

I Foundations 1

1 This Tomb Holds Diophantus 3

2 The Irrational and the Transcendental 13

3 Centuries of Progress 35

II Computable Numbers 55

4 The Education of Alan Turing 57

5 Machines at Work 79

6 Addition and Multiplication 97

7 Also Known as Subroutines 111

8 Everything Is a Number 127

9 The Universal Machine 143

10 Computers and Computability 163

11 Of Machines and Men 189

III Das Entscheidungsproblem 199

12 Logic and Computability 201

13 Computable Functions 231

14 The Major Proof 259

15 The Lambda Calculus 281

16 Conceiving the Continuum 299

IV And Beyond 323

17 Is Everything a Turing Machine? 325

18 The Long Sleep of Diophantus 351

Selected Bibliography 361

Index 366

O autorze

English mathematician Alan Turing (1912 1954) is the author of the 1936 paper "On Computable Numbers, with an Application to the Entscheidungsproblem" that introduced the imaginary computer called the Turing Machine for understanding the nature and limitations of computing. His famous 1950 article "Computing Machinery and Intelligence" introduced the Turing Test for gauging artificial intelligence.

American writer Charles Petzold (1953 ) is the author of the acclaimed 1999 book Code: The Hidden Language of Computer Hardware and Software, a unique exploration into the digital technologies of computers. He is also the author of hundreds of articles about computer programming, as well as several books on writing programs that run under Microsoft Windows. His Web site is www.charlespetzold.com.

Blurb

Before digital computers ever existed, Alan Turing envisioned their power and versatility...but also proved what computers could never do.

In an extraordinary and ultimately tragic life that unfolded like a novel, Turing helped break the German Enigma code to turn the tide of World War II, later speculated on artificial intelligence, fell victim to the homophobic witchhunts of the early 1950s, and committed suicide at the age of 41. Yet Turing is most famous for an eerily prescient 1936 paper in which he invented an imaginary computing machine, explored its capabilities and intrinsic limitations, and established the foundations of modern–day programming and computability.

This absorbing book expands Turing′s now legendary 36–page paper with extensive annotations, fascinating historical context, and page–turning glimpses into his private life. From his use of binary numbers to his exploration of concepts that today′s programmers will recognize as RISC processing, subroutines, algorithms, and others, Turing foresaw the future and helped to mold it. In our post–Turing world, everything is a Turing Machine from the most sophisticated computers we can build, to the hardly algorithmic processes of the human mind, to the information–laden universe in which we live.