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Mathematical foundations of computational engineering : a handbook

Author: Peter Jan Pahl; Rudolf Damrath
Publisher: Berlin ; New York : Springer, ©2001.
Series: Engineering online library
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book serves as a comprehensive handbook, bringing the fundamental mathematics of engineering computation into a suitable order for specific engineering purposes, showing their significance for typical applications. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information technology."--Jacket.
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Peter Jan Pahl; Rudolf Damrath
ISBN: 3540679952 9783540679950
OCLC Number: 47208580
Notes: Includes index.
Description: xviii, 1008 pages : illustrations ; 24 cm.
Contents: 1. Logic. 1.1. Representation of Thought. 1.2. Elementary Concepts. 1.3. Propositional Logic. 1.4. Predicate Logic. 1.5. Proofs and Axioms --
2. Set Theory. 2.1. Sets. 2.2. Algebra of Sets. 2.3. Relations. 2.4. Types of Relations. 2.5. Mappings. 2.6. Types of Mappings. 2.7. Cardinality and Countability. 2.8. Structures --
3. Algebraic Structures. 3.1. Introduction. 3.2. Inner Operations. 3.3. Sets with One Operation. 3.4. Sets with Two Operations. 3.5. Vector Spaces. 3.6. Linear Mappings. 3.7. Vector and Matrix Algebra --
4. Ordinal Structures. 4.1. Introduction. 4.2. Ordered Sets. 4.3. Extreme Elements. 4.4. Ordered Sets with Extremality Properties. 4.5. Mappings of Ordered Sets.
Series Title: Engineering online library
Other Titles: Mathematische Grundlagen der Ingenieurinformatik.
Responsibility: Peter Jan Pahl, Rudolf Damrath.
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Abstract:

Computational engineering is the treatment of engineering tasks with computers. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are  Read more...

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