LEADER 04381nam 2200577 450 001 996547962803316 005 20231020211242.0 010 $a3-031-26212-3 024 7 $a10.1007/978-3-031-26212-8 035 $a(CKB)5860000000311344 035 $a(DE-He213)978-3-031-26212-8 035 $a(MiAaPQ)EBC30766865 035 $a(Au-PeEL)EBL30766865 035 $a(BIP)087248710 035 $a(PPN)270612912 035 $a(MiAaPQ)EBC30735215 035 $a(Au-PeEL)EBL30735215 035 $a(EXLCZ)995860000000311344 100 $a20231020d2023 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Foundations of Software Engineering $eA Practical Guide to Essentials /$fGerard O'Regan 205 $aFirst edition. 210 1$aCham, Switzerland :$cSpringer, Springer Nature Switzerland AG,$d[2023] 210 4$dİ2023 215 $a1 online resource (XXXVII, 519 p. 152 illus., 96 illus. in color.) 225 1 $aTexts in Computer Science Series 311 $a3-031-26211-5 320 $aIncludes bibliographical references and index. 327 $a1. Fundamentals of Software Engineering -- 2. Software Engineering Mathematics -- 3. Mathematical Prerequisites -- 4. Introduction to Algorithms -- 5 -- Algebra -- 6. Mathematical Induction and Recursion -- 7. Graph Theory -- 8. Sequences, Series and Permutations and Combinations -- 9. A Short History of Logic -- 10. Propositional and Predicate Logic -- 11. Advanced Topics in Logic -- 12. Language Theory and Semantics -- 13. Automata Theory -- 14. Computability and Decidability -- 15. Software Reliability and Dependability. 330 $aThis essential 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 solving Discusses propositional and predicate logic and various proof techniques to demonstrate the correctness of a logical argument. Examines number theory and its applications to cryptography Considers the underlying mathematics of error-correcting codes Discusses graph theory and its applications to modelling networks Reviews tools to support software engineering mathematics, including automated and interactive theorem provers and model checking Discusses financial software engineering, including simple and compound interest, probability and statistics, and operations research Discusses software reliability and dependability and explains formal methods used to derive a program from its specification Discusses calculus, matrices, vectors, complex numbers, and quaternions, as well as applications to graphics and robotics Includes key learning topics, summaries, and review questions in each chapter, together with a useful glossary This 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. Dr. Gerard O?Regan is an Assistant Professor in Mathematics at the University of Central Asia in Kyrgyzstan. His research interests include software quality and software process?improvement, mathematical approaches to software quality, and the history of computing. He is the author of several books in the Mathematics and Computing fields with Springer. 410 0$aTexts in computer science. 606 $aSoftware engineering 606 $aSoftware engineering$xMathematics 610 $aComputer Software 610 $aComputer Programming 610 $aComputers 615 0$aSoftware engineering. 615 0$aSoftware engineering$xMathematics. 676 $a005.1 700 $aO'Regan$b Gerard$0921504 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996547962803316 996 $aMathematical Foundations of Software Engineering$93561868 997 $aUNISA