Software Engineering Mathematics (Paperback)

This book makes the mathematical basis of formal methods accessible both to the student and to the professional. It is motivated in the later chapters by examples and exercises. Throughout, the premise is that mathematics is as essential to design and construction in software engineering as it is to other engineering disciplines. The exercises range from simple drills, intended to provide familiarity with concepts and notation, to advanced material. The first four chapters of the book are devoted to foundations, with an introduction to formal systems, then the propositional and predicate calculi, concluding with a chapter on theories in general. The second part of the book builds upon the foundations by covering in detail the theory of sets, relations, functions, and sequences. The mathematical data types then presented are powerful enough to describe many aspects of software systems, and small case studies are included as examples of their use in the modelling of software: a configuration manager, a storage allocator, and a simple backing store interface. The concrete syntax of the Z notation has been adopted. The third part of the book presents two detailed case studies in the us