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Mathematical foundations of advanced...

Huth, Michael.

Mathematical foundations of advanced informatics.Volume 1,Inductive approaches

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical foundations of advanced informatics.by Bernhard Steffen, Oliver Ruthing, Michael Huth.
其他題名:	Inductive approaches
作者:	Steffen, Bernhard.
其他作者:	Ruthing, Oliver.
出版者:	Cham :Springer International Publishing :2018.
面頁冊數:	xxvii, 228 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Logic, Symbolic and mathematical.
電子資源:	http://dx.doi.org/10.1007/978-3-319-68397-3
ISBN:	9783319683973$q(electronic bk.)

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$q(electronic bk.)

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

180452
Logic, Symbolic and mathematical.

LC Class. No.: QA9.2

Dewey Class. No.: 511.3

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