Mathematical foundations of advanced informatics. Volume 1, Inductive approaches / Bernhard Steffen, Oliver Rüthing, Michael Huth.
Steffen, Bernhard, author.; Rüthing, Oliver, author.; Huth, Michael, author.
2018
QA9.2
Available Online

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Title Mathematical foundations of advanced informatics. Volume 1, Inductive approaches / Bernhard Steffen, Oliver Rüthing, Michael Huth.
Author Steffen, Bernhard, author.
ISBN 9783319683973 (electronic book)
3319683977 (electronic book)
9783319683966
DOI https://doi.org/10.1007/978-3-319-68397-3
Published Cham, Switzerland : Springer, 2018.
Language English
Description 1 online resource (xxvii, 228 pages) : illustrations
Item Number 10.1007/978-3-319-68397-3 doi
Call Number QA9.2
Dewey Decimal Classification 511.3
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed March 29, 2018).
Added Author Rüthing, Oliver, author.
Huth, Michael, author.
Available in Other Form Print version: 9783319683966
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Record Appears in Online Resources > Ebooks
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Introduction
Propositions and Sets
Relations and Functions
Inductive Definitions
Inductive Proofs
Inductive Approach: Potential, Limitations, and Pragmatics.

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