Ebook: Software Engineering 1: Abstraction and Modelling

""Preface � to Vols. 1- 3""; ""Contents""; ""Part I OPENING""; ""1 Introduction""; ""Part II DISCRETE MATHEMATICS""; ""2 Numbers""; ""3 Sets""; ""4 Cartesians""; ""5 Types""; ""6 Functions""; ""7 A lambda-Calculus""; ""8 Algebras""; ""9 Mathematical Logic""; ""Part III SIMPLE RSL""; ""10 Atomic Types and Values in RSL""; ""11 Function Definitions in RSL""; ""12 Property-Oriented and Model-Oriented Abstraction""; ""13 Sets in RSL""; ""14 Cartesians in RSL""; ""15 Lists in RSL""; ""16 Maps in RSL""; ""17 Higher-Order Functions in RSL""; ""Part IV SPECIFICATION TYPES""; ""18 Types in RSL"";The art, craft, discipline, logic, practice, and science of developing large-scale software products needs a believable, professional base. The textbooks in this three-volume set combine informal, engineeringly sound practice with the rigour of formal, mathematics-based approaches. Volume 1 covers the basic principles and techniques of formal methods abstraction and modelling. First this book provides a sound, but simple basis of insight into discrete mathematics: numbers, sets, Cartesians, types, functions, the Lambda Calculus, algebras, and mathematical logic. Then it trains its readers in basic property- and model-oriented specification principles and techniques. The model-oriented concepts that are common to such specification languages as B, VDM-SL, and Z are explained here using the RAISE specification language (RSL). This book then covers the basic principles of applicative (functional), imperative, and concurrent (parallel) specification programming. Finally, the volume contains a comprehensive glossary of software engineering, and extensive indexes and references. These volumes are suitable for self-study by practicing software engineers and for use in university undergraduate and graduate courses on software engineering. Lecturers will be supported with a comprehensive guide to designing modules based on the textbooks, with solutions to many of the exercises presented, and with a complete set of lecture slides.