Turing Computability: Theory and Applications Tapa dura - 2016
de Robert I. Soare
Descripción de contraportada
Turing's famous 1936 paper introduced a formal definition of a computing machine, a Turing machine. This model led to both the development of actual computers and to computability theory, the study of what machines can and cannot compute. This book presents classical computability theory from Turing and Post to current results and methods, and their use in studying the information content of algebraic structures, models, and their relation to Peano arithmetic. The author presents the subject as an art to be practiced, and an art in the aesthetic sense of inherent beauty which all mathematicians recognize in their subject.
Part I gives a thorough development of the foundations of computability, from the definition of Turing machines up to finite injury priority arguments. Key topics include relative computability, and computably enumerable sets, those which can be effectively listed but not necessarily effectively decided, such as the theorems of Peano arithmetic. Part IIincludes the study of computably open and closed sets of reals and basis and nonbasis theorems for effectively closed sets. Part III covers minimal Turing degrees. Part IV is an introduction to games and their use in proving theorems. Finally, Part V offers a short history of computability theory.
The author is a leading authority on the topic and he has taught the subject using the book content over decades, honing it according to experience and feedback from students, lecturers, and researchers around the world. Most chapters include exercises, and the material is carefully structured according to importance and difficulty. The book is suitable for advanced undergraduate and graduate students in computer science and mathematics and researchers engaged with computability and mathematical logic.
Detalles
- Título Turing Computability: Theory and Applications
- Autor Robert I. Soare
- Encuadernación Tapa dura
- Edición Hardback
- Páginas 263
- Volúmenes 1
- Idioma ENG
- Editorial Springer
- Fecha de publicación 2016-06-28
- Ilustrado Sí
- Features Bibliography, Illustrated
- ISBN 9783642319327 / 3642319327
- Peso 1.31 libras (0.59 kg)
- Dimensiones 9.21 x 6.14 x 0.69 pulgadas (23.39 x 15.60 x 1.75 cm)
- Dewey Decimal Code 004.015
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Turing Computability: Theory and Applications
de Robert I. Soare
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9783642319327 / 3642319327
- Cantidad disponible
- 10
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Southport, Merseyside, United Kingdom
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EUR 98.02EUR 11.84 enviando a USA
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Computability Theory and Applications: The Art of Classical Computability
de Soare, Robert I.
- Nuevo
- Tapa dura
- Estado
- Nuevo
- Encuadernación
- Hardcover
- ISBN 10 / ISBN 13
- 9783642319327 / 3642319327
- Cantidad disponible
- 2
- Librería
-
Exeter, Devon, United Kingdom
- Precio
-
EUR 111.28EUR 11.90 enviando a USA