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Computability in Combinatory Spaces: An Algebraic Generalization of Abstract First Order Computability: 55 (Mathematics and its Applications) - Tapa blanda

Skordev, Dimiter G. G.

 
9789401051651: Computability in Combinatory Spaces: An Algebraic Generalization of Abstract First Order Computability: 55 (Mathematics and its Applications)
Tapa blanda
ISBN 10: 9401051658 ISBN 13: 9789401051651
Editorial: Springer, 2012

Sinopsis

This volume provides an account of the current state of the theory of combinatory spaces and discusses various applications. Here the term `combinatory space' can be regarded as a system for functional programming, and bears no close connection with combinatory logic.
The main text is divided into three chapters. Chapter 1 deals with computational structures and computability; Chapter 2 considers combinatory spaces; and Chapter 3 embraces computability in iterative combinatory spaces. A number of appendices treat a survey of examples of combinatory spaces. All sections of the various chapters contain exercices togethers with hints for solution where appropriate.
For the reading of some parts of the book a knowledge of mathematical logic and recursive function theory would be desirable.
For researchers and specialists in mathematical logic and its applications and theoretical computer scientists.

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Reseña del editor

This volume provides an account of the current state of the theory of combinatory spaces and discusses various applications. Here the term `combinatory space' can be regarded as a system for functional programming, and bears no close connection with combinatory logic.
The main text is divided into three chapters. Chapter 1 deals with computational structures and computability; Chapter 2 considers combinatory spaces; and Chapter 3 embraces computability in iterative combinatory spaces. A number of appendices treat a survey of examples of combinatory spaces. All sections of the various chapters contain exercices togethers with hints for solution where appropriate.
For the reading of some parts of the book a knowledge of mathematical logic and recursive function theory would be desirable.
For researchers and specialists in mathematical logic and its applications and theoretical computer scientists.

Reseña del editor

One service mathematics bas rendered the 'Bt moi, .... si j'avait su comment en revenir, je human race. It bas put common sense back n'y semis point aU6.' where it belongs, on the topmost shelf next to Jules Verne the dusty canister labelled 'discarded nonsense'. BrieT.Bell The series is divergent; therefore we may be able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari­ ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci­ ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser­ vice topology has rendered mathematical physics .. .'; 'One service logic has rendered computer science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d' 8tre of this series.

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Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
9401051658
ISBN 13 
9789401051651
Encuadernación
Tapa blanda
Número de páginas
340
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