Alan Turing: His Work and Impact
- S. Cooper, Professor of Mathematical Logic, University of Leeds, Leeds, UK
- J. van Leeuwen, Professor of Computing Science, Utrecht University, The Netherlands
Offering a more modern perspective than anything currently available, Alan Turing: His Work and Impact gives wide coverage of the many ways in which Turing's scientific endeavors have impacted current research and understanding of the world. His pivotal writings on subjects including computing, artificial intelligence, cryptography, morphogenesis, and more display continued relevance and insight into today's scientific and technological landscape. This collection provides a great service to researchers, but is also an approachable entry point for readers with limited training in the science, but an urge to learn more about the details of Turing's work.
AudienceResearchers and scientists interested in the context and significance of Turing's impact on artificial intelligence, artificial neural networks, morphogenesis, cryptology, the philosophy of mind, mathematics, computing, computer science, informatics, morphogenesis, philosophy and the wider scientific world.
- Published: May 2013
- Imprint: ELSEVIER
- ISBN: 978-0-12-386980-7
“The ‘tour de force’ is that it is quite possible, even recommended, to read the book not linearly but by selecting pieces randomly, just for fun…We…urge readers of this brief review to read the book. We are sure that they will definitely enjoy it. It is quite possible that they will also find there ideas or flashes of inspiration for their own research.”
"Introductions and commentaries are written by outstanding specialists in the given domains -- altogether by 70 contributors. They provide insight into the significance and contemporary impact of Turing's work…The book is published in a beautiful and careful way. It is a remarkable contribution to the celebration of the centenary of Alan Turing's birth. It is indispensable for all interested in Turing's work."--Zentralblatt MATH 1270-2013
"…much of what’s presented is for specialists…But there’s still plenty even for a non-mathematician like me, some of it surprisingly moving…no matter how well you know the life and work of Turing, you’ll learn something from this book."--
"This accessible book is an essential read for those interested in Turing’s work and provides a more contemporary perspective than anything else that is available."--
Table of Contents
Part I: How Do We Compute? What Can We Prove?
1.Alan Mathison Turing
2.On Computable Numbers, with an Application to the Entscheidungsproblem
3.On Computable Numbers, with an Application to the Entscheidungsproblem - correction
4.Review of Turing 1936-7
5.Computability and λ-definability
6.The p-function in λ-K-conversion
7.Systems of Logic based on Ordinals
8.A Formal Theorem in Church's Theory of Types
9.The Use of Dots as Brackets in Church's System
10.Practical Forms of Type Theory
11.The Reform of Mathematical Notation
Part II: Hiding and Unhiding Information: Cryptology, Complexity and Number Theory.
1.On the Gaussian Error Function
2.A Method for the Calculation of the Zeta-function
3.Some Calculations of the Riemann Zeta-function
4.On a Theorem of Littlewood
5.The Word Problem in Semi-groups with Cancellation
6.Solvable and Unsolvable Problems
7.The Word Problem in Compact Groups
8.On Permutation Groups
9.Rounding-off Errors in Matrix Processes
10.A Note on Normal Numbers
11.Turing's treatise on the Enigma (Prof's Book); Report by Turing on U. S. Navy cryptanalytic work and their machinery, November 1942; Speech System 'Delilah' - report on progress, 6 June 1944; Checking a Large Routine; An early program proof by Alan Turing; Programmers' Handbook for the Manchester electronic computer; Local Programming Methods and Conventions
Part III: Building a Brain: Intelligent Machines, Practice and Theory.
1.Lecture to the London Mathematical Society
3.Computing Machinery and Intelligence
4.Chess; Solvable and Unsolvable Problems
5.Intelligent Machinery: A heretical theory; Can digital computers think?; Can automatic calculating machines be said to think?
6.Some Remarks on the Undecidability Results
Part IV: The Mathematics of Emergence: The Mysteries of Morphogenesis.
1.The Chemical Basis of Morphogenesis
2.A Diffusion Reaction Theory of Morphogenesis in Plants
3.Morphogen Theory of Phyllotaxis; Geometrical and Descriptive Phyllotaxis; Chemical Theory of Morphogenesis; A Solution of the Morphogenetical Equations for the Case of Spherical Symmetry
4.Outline of the Development of the Daisy