Applied Optimization

A Mathematical Theory of Design: Foundations, Algorithms and Applications

Authors: Braha, D., Maimon, O.

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About this book

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.

Table of contents (21 chapters)

  • Introduction and Overview

    Braha, Dan (et al.)

    Pages 3-17

  • Design as Scientific Problem-Solving

    Braha, Dan (et al.)

    Pages 19-84

  • Introductory Case Studies

    Braha, Dan (et al.)

    Pages 85-106

  • Representation of Design Artifacts

    Braha, Dan (et al.)

    Pages 109-141

  • The Idealized Design Process

    Braha, Dan (et al.)

    Pages 143-185

Buy this book

eBook $309.00
price for USA (gross)
valid through November 5, 2017
  • ISBN 978-1-4757-2872-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $399.00
price for USA
valid through November 5, 2017
  • ISBN 978-0-7923-5079-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $399.00
price for USA
valid through November 5, 2017
  • ISBN 978-1-4419-4798-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
A Mathematical Theory of Design: Foundations, Algorithms and Applications
Authors
Series Title
Applied Optimization
Series Volume
17
Copyright
1998
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-1-4757-2872-9
DOI
10.1007/978-1-4757-2872-9
Hardcover ISBN
978-0-7923-5079-8
Softcover ISBN
978-1-4419-4798-7
Series ISSN
1384-6485
Edition Number
1
Number of Pages
XXII, 682
Topics