The early development of the field was summarized in a book by Oliver Aberth, Computable Analysis (1980), and Computability in Analysis and Physics provides an update, incorporating substantial developments in this area by its authors.

[3][4] The authors are motivated in part by the computability of solutions to differential equations.

[2] The book also includes a collection of open problems,[2][4] likely to inspire its readers to more research in this area.

[3] The book is self-contained, and targeted at researchers in mathematical analysis and computability;[1] reviewers Douglas Bridges and Robin Gandy disagree over which of these two groups it is better aimed at.

[2] Despite complaining about the formality of the presentation and that the authors did not aim to include all recent developments in computable analysis, reviewer Rod Downey writes that this book "is clearly a must for anybody whose research is in this area",[1] and Gandy calls it "an interesting, readable and very well written book".