Mathematical Foundations of Software Engineering

This textbook presents an introduction to the mathematical foundations of software engineering.  It presents the rich applications of mathematics in areas such as error-correcting codes, cryptography, the safety and security critical fields, the banking and insurance fields, as well as traditional engineering applications. Topics and features:Addresses core mathematics for critical thinking and problem solvingDiscusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument.Examines number theory and its applications to cryptographyConsiders the underlying mathematics of error-correcting codesDiscusses graph theory and its applications to modelling networksReviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checkingDiscusses financial software engineering, including simple and compound interest, probability and statistics, and operations researchDiscusses software reliability and dependability and explains formal methods used to derive a program from its specificationDiscusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and roboticsIncludes key learning topics, summaries, and review questions in each chapter, together with a useful glossaryThis practical and easy-to-follow textbook/reference is ideal for computer science students seeking to learn how mathematics can assist them in building high-quality and reliable software on time and on budget. The text also serves as an excellent self-study primer for software engineers, quality professionals, and software managers.