Articles liés à Handbook of Computability and Complexity in Analysis

Handbook of Computability and Complexity in Analysis - Couverture souple

 
9783030592356: Handbook of Computability and Complexity in Analysis

L'édition de cet ISBN n'est malheureusement plus disponible.

Synopsis

Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means?

Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology.

This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

(Aucun exemplaire disponible)

Chercher:



Créez une demande

Vous ne trouvez pas le livre que vous recherchez ? Nous allons poursuivre vos recherches. Si l'un de nos libraires l'ajoute aux offres sur AbeBooks, nous vous le ferons savoir !

Créez une demande

Autres éditions populaires du même titre

9783030592332: Handbook of Computability and Complexity in Analysis

Edition présentée

ISBN 10 :  3030592332 ISBN 13 :  9783030592332
Editeur : Springer Nature Switzerland AG, 2021
Couverture rigide