Turing's Vision: The Birth of Computer Science (MIT Press)

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9780262034548: Turing's Vision: The Birth of Computer Science (MIT Press)

In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing's Vision, Chris Bernhardt explains the theory, Turing's most important contribution, for the general reader. Bernhardt argues that the strength of Turing's theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, "The sheer simplicity of the theory's foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory." Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing's theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing's later work, and the birth of the modern computer.

In the paper, "On Computable Numbers, with an Application to the Entscheidungsproblem," Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer's ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing's ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing's problem concerning computable numbers.

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About the Author:

Chris Bernhardt is Professor of Mathematics at Fairfield University.

Review:

A fascinating account of Alan Turing's epic research paper, which kicked off the entire computer revolution. I'm particularly impressed by the amount of detail the author includes while keeping everything simple, transparent, and a pleasure to read.

(Ian Stewart, author of In Pursuit of the Unknown: 17 Equations That Changed the World)

This is a delightful introduction for the lay reader to the ideas surrounding Alan Turing's great paper of 1936.

(Scott Aaronson, Associate Professor of Electrical Engineering and Computer Science, MIT)

Over the past several decades, Alan Turing, known as the father of computer science, has become an intellectual and cultural icon. Chris Bernhardt has written a very clear and accessible book that explains Turing's work, showing how his ideas have developed into some of the most important ideas in computer science today.

(Noson S. Yanofsky, author of The Outer Limits of Reason: What Science, Mathematics, and Logic Cannot Tell Us)

The dazzling array of computer applications, from desktop to cell phone, has obscured the play of ideas that first set our modern era in motion. In this account, Bernhardt reveals the crucial contribution to these developments made by Alan Turing and other early computer scientists. A marvelous book.

(A. K. Dewdney, Professor Emeritus, Department of Computer Science, University of Western Ontario)

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Chris Bernhardt
Editorial: MIT Press Ltd, United States (2016)
ISBN 10: 0262034549 ISBN 13: 9780262034548
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Descripción MIT Press Ltd, United States, 2016. Hardback. Estado de conservación: New. Language: English . Brand New Book. In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing s Vision, Chris Bernhardt explains the theory, Turing s most important contribution, for the general reader. Bernhardt argues that the strength of Turing s theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, The sheer simplicity of the theory s foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory. Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing s later work, and the birth of the modern computer.In the paper, On Computable Numbers, with an Application to the Entscheidungsproblem, Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing s ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing s problem concerning computable numbers. Nº de ref. de la librería AAU9780262034548

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Descripción MIT Press Ltd, United States, 2016. Hardback. Estado de conservación: New. Language: English . Brand New Book. In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computers. This groundbreaking and powerful theory now forms the basis of computer science. In Turing s Vision, Chris Bernhardt explains the theory, Turing s most important contribution, for the general reader. Bernhardt argues that the strength of Turing s theory is its simplicity, and that, explained in a straightforward manner, it is eminently understandable by the nonspecialist. As Marvin Minsky writes, The sheer simplicity of the theory s foundation and extraordinary short path from this foundation to its logical and surprising conclusions give the theory a mathematical beauty that alone guarantees it a permanent place in computer theory. Bernhardt begins with the foundation and systematically builds to the surprising conclusions. He also views Turing s theory in the context of mathematical history, other views of computation (including those of Alonzo Church), Turing s later work, and the birth of the modern computer.In the paper, On Computable Numbers, with an Application to the Entscheidungsproblem, Turing thinks carefully about how humans perform computation, breaking it down into a sequence of steps, and then constructs theoretical machines capable of performing each step. Turing wanted to show that there were problems that were beyond any computer s ability to solve; in particular, he wanted to find a decision problem that he could prove was undecidable. To explain Turing s ideas, Bernhardt examines three well-known decision problems to explore the concept of undecidability; investigates theoretical computing machines, including Turing machines; explains universal machines; and proves that certain problems are undecidable, including Turing s problem concerning computable numbers. Nº de ref. de la librería AAU9780262034548

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Descripción The MIT Press, 2016. Estado de conservación: New. Num Pages: 208 pages, 15 b&w illus. BIC Classification: UY. Category: (P) Professional & Vocational. Dimension: 203 x 136. . . 2016. Hardcover. . . . . . Nº de ref. de la librería V9780262034548

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Descripción The MIT Press 2016-06-17, Cambridge, Massachusetts, 2016. hardback. Estado de conservación: New. Nº de ref. de la librería 9780262034548

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Descripción Hardcover. Estado de conservación: New. Hardcover. In 1936, when he was just twenty-four years old, Alan Turing wrote a remarkable paper in which he outlined the theory of computation, laying out the ideas that underlie all modern computer.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 208 pages. 0.318. Nº de ref. de la librería 9780262034548

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Descripción The MIT Press. Estado de conservación: New. Num Pages: 208 pages, 15 b&w illus. BIC Classification: UY. Category: (P) Professional & Vocational. Dimension: 203 x 136. . . 2016. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780262034548

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