Overview
- Suitable for undergraduate and graduate courses in computer science
- Demonstrates the mathematical underpinnings of modern computer science, valuable foundational knowledge for academics and researchers
- Class-tested over many years in various universities
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
The books in this trilogy capture the foundational core of advanced informatics. The authors make the foundations accessible, enabling students to become effective problem solvers.
This first volume establishes the inductive approach as a fundamental principle for system and domain analysis. After a brief introduction to the elementary mathematical structures, such as sets, propositional logic, relations, and functions, the authors focus on the separation between syntax (representation) and semantics (meaning), and on the advantages of the consistent and persistent use of inductive definitions. They identify compositionality as a feature that not only acts as a foundation for algebraic proofs but also as a key for more general scalability of modeling and analysis. A core principle throughout is invariance, which the authors consider a key for the mastery of change, whether in the form of extensions, transformations, or abstractions.
This textbook is suitable for undergraduate and graduate courses in computer science and for self-study. Most chapters contain exercises and the content has been class-tested over many years in various universities.
Similar content being viewed by others
Keywords
Table of contents (6 chapters)
Authors and Affiliations
About the authors
Oliver Rüthing studied computer science at Christian-Albrechts Universität zuKiel, where he worked from 1991 to 1997 as a research associate. After his PhD in 1997 he moved to Technische Universität Dortmund, he is a member of the scientific staff of the Chair for Programming Systems. His research interests include compilers and model checking.
Michael Huth received his PhD in mathematics in 1991 from Tulane University. After postdoctoral and research positions in computer science and mathematics in the US, the UK, and Germany, he was an assistant professor in the Dept. of Computing and Information Sciences at Kansas State University from 1996 to 2001. He moved to the Dept. of Computing at Imperial College London in 2001 where he is now a professor. His research combines blue-sky and application-driven research in cybersecurity, mathematical modeling, and formal verification.
Bibliographic Information
Book Title: Mathematical Foundations of Advanced Informatics
Book Subtitle: Volume 1: Inductive Approaches
Authors: Bernhard Steffen, Oliver Rüthing, Michael Huth
DOI: https://doi.org/10.1007/978-3-319-68397-3
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer International Publishing AG, part of Springer Nature 2018
Hardcover ISBN: 978-3-319-68396-6Published: 03 April 2018
Softcover ISBN: 978-3-030-09833-9Published: 24 January 2019
eBook ISBN: 978-3-319-68397-3Published: 20 March 2018
Edition Number: 1
Number of Pages: XXVII, 228
Number of Illustrations: 22 b/w illustrations, 7 illustrations in colour
Topics: Mathematics of Computing, Theory of Computation, Mathematical Applications in Computer Science, Software Engineering/Programming and Operating Systems