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Mathematical Foundations of Advanced Informatics = Volume 1: Inductive Approaches /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Mathematical Foundations of Advanced Informatics/ by Bernhard Steffen, Oliver Rüthing, Michael Huth.
其他題名:	Volume 1: Inductive Approaches /
作者:	Steffen, Bernhard.
其他作者:	Rüthing, Oliver.
面頁冊數:	XXVII, 228 p. 29 illus., 7 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Computer science—Mathematics. -
電子資源:	https://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 InformaticsVolume 1: Inductive Approaches /[electronic resource] :by Bernhard Steffen, Oliver Rüthing, Michael Huth. - 1st ed. 2018. - XXVII, 228 p. 29 illus., 7 illus. in color.online resource.

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:

1253519
Computer science—Mathematics.

LC Class. No.: QA76.9.M35

Dewey Class. No.: 004.0151

Mathematical Foundations of Advanced Informatics = Volume 1: Inductive Approaches /
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