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Mathematical Foundations of Software Engineering
A Practical Guide to Essentials
Buch von Gerard O'Regan
Sprache: Englisch

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Beschreibung
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 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.
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 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.
Über den Autor

Dr. Gerard O'Regan is a CMMI software process improvement consultant with research interests including software quality and software process improvement, mathematical approaches to software quality, and the history of computing. He is the author of such Springer titles as Introduction to the History of Computing, Pillars of Computing, Introduction to Software Quality, Giants of Computing, and Mathematics in Computing.

Zusammenfassung

Discusses essential mathematics for critical thinking and problem solving

Considers mathematics to support engineering, telecommunications, and financial applications

Reviews an array of software to support software engineers with carrying out mathematical computations

Inhaltsverzeichnis

1. 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.

Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 560
Reihe: Texts in Computer Science
Inhalt: xxxvii
519 S.
56 s/w Illustr.
96 farbige Illustr.
519 p. 152 illus.
96 illus. in color.
ISBN-13: 9783031262111
ISBN-10: 3031262115
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: O'Regan, Gerard
Auflage: 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Texts in Computer Science
Maße: 241 x 160 x 36 mm
Von/Mit: Gerard O'Regan
Erscheinungsdatum: 05.05.2023
Gewicht: 0,998 kg
Artikel-ID: 126343903
Über den Autor

Dr. Gerard O'Regan is a CMMI software process improvement consultant with research interests including software quality and software process improvement, mathematical approaches to software quality, and the history of computing. He is the author of such Springer titles as Introduction to the History of Computing, Pillars of Computing, Introduction to Software Quality, Giants of Computing, and Mathematics in Computing.

Zusammenfassung

Discusses essential mathematics for critical thinking and problem solving

Considers mathematics to support engineering, telecommunications, and financial applications

Reviews an array of software to support software engineers with carrying out mathematical computations

Inhaltsverzeichnis

1. 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.

Details
Erscheinungsjahr: 2023
Genre: Informatik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 560
Reihe: Texts in Computer Science
Inhalt: xxxvii
519 S.
56 s/w Illustr.
96 farbige Illustr.
519 p. 152 illus.
96 illus. in color.
ISBN-13: 9783031262111
ISBN-10: 3031262115
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: O'Regan, Gerard
Auflage: 2023
Hersteller: Springer Nature Switzerland
Springer International Publishing
Texts in Computer Science
Maße: 241 x 160 x 36 mm
Von/Mit: Gerard O'Regan
Erscheinungsdatum: 05.05.2023
Gewicht: 0,998 kg
Artikel-ID: 126343903
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