© 2006

Mathematical Approaches to Software Quality


Table of contents

  1. Front Matter
    Pages i-xv
  2. Pages 1-32
  3. Pages 109-125
  4. Pages 126-142
  5. Pages 143-175
  6. Pages 211-219
  7. Back Matter
    Pages 220-231

About this book


The now customary expectation for high-quality software products places an immense demand on industries and organizations to fulfill this need and to consistently produce quality software.

Mathematical Approaches to Software Quality provides a comprehensive introduction to various mathematical methodologies needed for developing this high-quality software. The book explains the main features of these approaches and applies these mathematical methods to solve practical problems. For instance the chapter on technology transfer presents an overview of how these technologies may be transferred to industry.

Topics and features include:

• Expansive overview of popular formal specification methods such as Z and VDM

• Introduction to Cleanroom and software reliability

• Understanding on how to predict reliability of a software product using Cleanroom

• Broad discussion of ideas of Parnas, Hare and Dijkstra on software quality

• Introduction to UML

• Technology transfer of formal methods

This book considers the potential and limitations of the various mathematical approaches and thereby aims to give a balanced view of the usability of each mathematical approach. Written with both student and professional in mind, this book assists the reader in applying mathematical methods to solve practical problems that are relevant to software engineers. It is suitable for coursework or self-study and there is helpful material on tools to support the various mathematical approaches.

 A companion volume entitled A Practical Approach to Software Quality, also written by Gerard O’Regan, offers a comprehensive introduction to the field and pragmatic guidance on the implementation of a sound quality system in the organization.


Cleanroom Dijkstra Formal Methods Hoare Irish VDM Logic Mathematics Software Engineering Software Engineering Mathematics Software Quality Technology Transfer UML Unified Modeling Language (UML) VDM modeling

Authors and affiliations

  1. 1.MallowIreland

Bibliographic information

Industry Sectors
Chemical Manufacturing
IT & Software
Finance, Business & Banking
Energy, Utilities & Environment


From the reviews:

"A software engineer should have a strong mathematical qualification likewise to the qualification of other engineers taking into account the specific needs of software engineering. The emphasis needs to be on the application of mathematics to solve practical problems. A recommended choice of appropriate mathematical disciplines is given in the book. … Small examples illustrate the approaches. … The book is suitable for students in introductory courses and for software engineers who are interested in methods which can assist in achieving high-quality software." (G. Riedewald, Zentralblatt MATH, Vol. 1106 (8), 2007)