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A Mathematical Theory of Design: Foundations, Algorithms and Applications (Hardcover, 1998 ed.)
Loot Price: R5,842
Discovery Miles 58 420
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A Mathematical Theory of Design: Foundations, Algorithms and Applications (Hardcover, 1998 ed.)
Series: Applied Optimization, 17
Expected to ship within 10 - 15 working days
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Formal Design Theory (PDT) is a mathematical theory of design. The
main goal of PDT is to develop a domain independent core model of
the design process. The book focuses the reader's attention on the
process by which ideas originate and are developed into workable
products. In developing PDT, we have been striving toward what has
been expressed by the distinguished scholar Simon (1969): that "the
science of design is possible and some day we will be able to talk
in terms of well-established theories and practices. " The book is
divided into five interrelated parts. The conceptual approach is
presented first (Part I); followed by the theoretical foundations
of PDT (Part II), and from which the algorithmic and pragmatic
implications are deduced (Part III). Finally, detailed case-studies
illustrate the theory and the methods of the design process (Part
IV), and additional practical considerations are evaluated (Part
V). The generic nature of the concepts, theory and methods are
validated by examples from a variety of disciplines. FDT explores
issues such as: algebraic representation of design artifacts,
idealized design process cycle, and computational analysis and
measurement of design process complexity and quality. FDT's axioms
convey the assumptions of the theory about the nature of artifacts,
and potential modifications of the artifacts in achieving desired
goals or functionality. By being able to state these axioms
explicitly, it is possible to derive theorems and corollaries, as
well as to develop specific analytical and constructive
methodologies.
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