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Cover image for Mathematical foundations of computional engineering : a handbook
Title:
Mathematical foundations of computional engineering : a handbook
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Publication Information:
Berlin : Springer, 2001
ISBN:
9783540679950
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30000004802835 TA330 P47 2001 Reference Book 1:BOOKREF
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Summary

Summary

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.


Reviews 1

Choice Review

The phrase "computational engineering'' probably evokes the numerical solution of differential equations and eigenvalue problems, but Pahl and colleagues actually focus on the mathematics that instructors rarely require engineering students to learn: logic, set theory, abstract algebra, topology, and graph theory. Less surprisingly, there are also chapters on tensor analysis and probability theory. The preface would ground the necessity for such a book on the changes in engineering methodology occasioned by the use of computers, but the book itself hardly touches computer methods or any engineer applications. Weighty for a handbook, it is more like a compressed textbook, or several such, than a dictionary or short encyclopedia. The inclusion of many proofs might invite readers to use the book for systematic study, but on any given topic they will do better with a richer source. Any good library has some handful of books that together fill any need this book might not. Useful primarily for readers reminding themselves of what they have forgotten. Upper-division undergraduates through faculty. D. V. Feldman University of New Hampshire


Table of Contents

Logic
Set Theory
Algebraic Structures
Ordinal Structures
topological Structures
Number System
Groups
Graphs
Tensors
Stochastics
Index
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