Theory and Applications of Computability
a book series in cooperation with the Association Computability in Europe

Series Overview

The book series Theory and Applications of Computability is published by Springer in cooperation with the Association Computability in Europe.

Books published in this series will be of interest to the research community and graduate students, with a unique focus on issues of computability. The perspective of the series is multidisciplinary, recapturing the spirit of Turing by linking theoretical and real-world concerns from computer science, mathematics, biology, physics, and the philosophy of science.

The series includes research monographs, advanced and graduate texts, and books that offer an original and informative view of computability and computational paradigms.

Volume 1

Rodney G. Downey, Denis R. Hirschfeldt

Algorithmic Randomness and Complexity

1st Edition., 2010, XXVIII, 855 p. 8 illus.
Hardcover, ISBN 978-0-387-95567-4

This is the first comprehensive treatment of this important field, designed to be both a reference tool for experts and a guide for newcomers. It surveys a broad section of work in the area, and presents most of its major results and techniques in depth. It will be of interest to researchers and students in computability theory, algorithmic information theory, and theoretical computer science.

Volume 2

Douglas S. Bridges, Luminiţa Simona Vîţă

Apartness and Uniformity
A Constructive Development

1st Edition., 2011, XIV, 198 p. 3 illus.
Hardcover, ISBN 978-3-642-22414-0

Largely an exposition of the authors' own research, this is the first book dealing with the apartness approach to constructive topology, and is a valuable addition to the literature on constructive mathematics and on topology in computer science. It is aimed at graduate students and advanced researchers in theoretical computer science, mathematics, and logic who are interested in constructive/algorithmic aspects of topology.

Editorial Board

Series Advisory Board



Formal or informal book proposals can be sent directly to members of the editorial board (contact details are on the linked web pages above).

Planned Volumes

© 2009- Association Computability in Europe (maintained by Vasco Brattka)