Mathematical Foundations of Advanced Informatics - Volume 1: Inductive Approaches (Hardcover, 1st ed. 2018)

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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	April 2018
First published:	2018
Authors:	Bernhard Steffen • Oliver Ruthing • Michael Huth
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	228
Edition:	1st ed. 2018
ISBN-13:	978-3-319-68396-6
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > Computer programming > Software engineering Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-319-68396-9
Barcode:	9783319683966

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