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Mathematical Foundations of Computational Engineering

A Handbook

  • Book
  • © 2001

Overview

Authors:
  1. Peter Jan Pahl

    1. lnstitut für Allgemeine Bauingenieurmethoden, Technische Universität Berlin, Berlin, Germany

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  2. Rudolf Damrath

    1. FG Angewandte lnformatik im Bauingenieurwesen, Universität Hannover, Hannover, Germany

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    You can also search for this author in PubMed   Google Scholar

  • Gives explanations and definitions of the basic concepts of modern computational engineering

  • Bundles information which could not be found collected in a single book before

  • Brings together the basic concepts into a general approach to computational models for engineering tasks

  • Includes supplementary material: sn.pub/extras

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Table of contents (10 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Logic

    • Peter Jan Pahl, Rudolf Damrath
    Pages 1-30

  3. Set Theory

    • Peter Jan Pahl, Rudolf Damrath
    Pages 31-58

  4. Algebraic Structures

    • Peter Jan Pahl, Rudolf Damrath
    Pages 59-130

  5. Ordinal Structures

    • Peter Jan Pahl, Rudolf Damrath
    Pages 131-159

  6. Topological Structures

    • Peter Jan Pahl, Rudolf Damrath
    Pages 161-283

  7. Number System

    • Peter Jan Pahl, Rudolf Damrath
    Pages 285-308

  8. Groups

    • Peter Jan Pahl, Rudolf Damrath
    Pages 309-488

  9. Graphs

    • Peter Jan Pahl, Rudolf Damrath
    Pages 489-669

  10. Tensors

    • Peter Jan Pahl, Rudolf Damrath
    Pages 671-839

  11. Stochastics

    • Peter Jan Pahl, Rudolf Damrath
    Pages 841-990

  12. Back Matter

    Pages 991-1008
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Keywords

About this book

Computational engineering is the treatment of engineering tasks with computers. It is based on computational mathematics, which is presented here in a comprehensive handbook. Engineers and scientists who deal with engineering tasks have to handle large amounts of information, which must be created and structured in a systematic manner. This demands a high level of abstraction and therefore knowledge of the mathematical foundations. From the existing rich repertoire of mathematical theories and methods, the fundamentals of engineering computation are selected and presented in a coherent fashion. They are brought into a suitable order for specific engineering purposes, and their significance for typical applications is shown. The relevant definitions, notations and theories are presented in a durable form which is independent of the fast development of information and communication technology.

Authors and Affiliations

  • lnstitut für Allgemeine Bauingenieurmethoden, Technische Universität Berlin, Berlin, Germany

    Peter Jan Pahl

  • FG Angewandte lnformatik im Bauingenieurwesen, Universität Hannover, Hannover, Germany

    Rudolf Damrath

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