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Mathematical foundations of advanced...

Steffen, Bernhard.

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Mathematical foundations of advanced informatics.. Volume 1,. Inductive approaches

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical foundations of advanced informatics./ by Bernhard Steffen, Oliver Ruthing, Michael Huth.
remainder title:	Inductive approaches
Author:	Steffen, Bernhard.
other author:	Ruthing, Oliver.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xxvii, 228 p. :ill. (some col.), digital ;24 cm.
[NT 15003449]:	Introduction -- Propositions and Sets -- Relations and Functions -- Inductive Definitions -- Inductive Proofs -- Inductive Approach: Potential, Limitations, and Pragmatics.
Contained By:	Springer eBooks
Subject:	Logic, Symbolic and mathematical. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-68397-3
ISBN:	9783319683973

Mathematical foundations of advanced informatics.. Volume 1,. Inductive approaches
Steffen, Bernhard.

Mathematical foundations of advanced informatics.Volume 1,Inductive approaches[electronic resource] /Inductive approachesby Bernhard Steffen, Oliver Ruthing, Michael Huth. - Cham :Springer International Publishing :2018. - xxvii, 228 p. :ill. (some col.), digital ;24 cm.

Introduction -- Propositions and Sets -- Relations and Functions -- Inductive Definitions -- Inductive Proofs -- Inductive Approach: Potential, Limitations, and Pragmatics.

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.

ISBN: 9783319683973

Standard No.: 10.1007/978-3-319-68397-3doiSubjects--Topical Terms:

532051
Logic, Symbolic and mathematical.

LC Class. No.: QA9.2

Dewey Class. No.: 511.3

Mathematical foundations of advanced informatics.. Volume 1,. Inductive approaches
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505 0 $a Introduction -- Propositions and Sets -- Relations and Functions -- Inductive Definitions -- Inductive Proofs -- Inductive Approach: Potential, Limitations, and Pragmatics.
520 $a 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.
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