TY  - BOOK
AU  - Steffen,Bernhard
AU  - Rüthing,Oliver
AU  - Huth,Michael
ED  - SpringerLink (Online service)
TI  - Mathematical Foundations of Advanced Informatics: Volume 1: Inductive Approaches 
SN  - 9783319683973
AV  - QA76.9.M35 
U1  - 004.0151 23
PY  - 2018///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Computer science-Mathematics
KW  - Computers
KW  - Computer mathematics
KW  - Software engineering
KW  - Mathematics of Computing
KW  - Theory of Computation
KW  - Mathematical Applications in Computer Science
KW  - Software Engineering/Programming and Operating Systems
N1  - Acceso multiusuario; Introduction -- Propositions and Sets -- Relations and Functions -- Inductive Definitions -- Inductive Proofs -- Inductive Approach: Potential, Limitations, and Pragmatics
N2  - 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
UR  - http://148.231.10.114:2048/login?url=https://doi.org/10.1007/978-3-319-68397-3
ER  -