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Theory of Dimensioning: An Introduction to Parameterizing Geometric Models: Mechanical Engineering

Autor Vijay Srinivasan
en Limba Engleză Hardback – 30 sep 2003
Encompassing a wide range of mathematical concepts, this text/reference presents a comprehensive theory of dimensioning and parameterizing of geometric models. This volume develops a unified and systematic theory of intrinsic and relational dimensioning using the powerful notion of congruence. Packed with illustrative examples and exercises, it explains how basic geometric knowledge can be used to understand and approach various dimensioning challenges and provides valuable methods for parameterizing geometric models. This valuable reference discusses how dimensional constraints are resolved and managed and offers effective techniques to dimension and parameterize solids.
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Specificații

ISBN-13: 9780824746247
ISBN-10: 0824746244
Pagini: 350
Dimensiuni: 210 x 280 x 19 mm
Greutate: 0.5 kg
Ediția:New.
Editura: CRC Press
Colecția CRC Press
Seria Mechanical Engineering


Public țintă

Undergraduate

Cuprins

 Introduction. Congruence. Dimensioning Elementary Curves. Dimensioning Elementary Surfaces. Dimensioning Relative Positions of Elementary Objects. Symmetry. General Theory of Dimensioning Relative Positions. Dimensional Constraints. Dimensioning Solids. Appendix 1: Matrices. Appendix 2: Groups. Appendix 3: Graphs. Appendix 4: Solids. Bibliography. Index.

Recenzii

“This textbook provides a rigorous mathematical foundation for the common engineering activity of dimensioning and tolerancing in the context of computer-aided design CAD. The mathematical prerequisites are basic geometry and linear algebra. … appendices meant to help the engineering reader to which it is addressed, provide information on the mathematics involved.”
— Victor V. Pambuccian (Phoenix), in Zentralblatt MATH, Vol. 1102, 2007/04
“…a ‘status report’ from the research frontiers….clearly and gracefully written, with many examples and exercises, it will almost certainly be used as a university text, and as a standard source for researchers.”
Herbert B. Voelcker, Professor, Cornell University, Ithaca, New York, USA
“…fills a major void in the engineering literature.”
Michael J. Pratt, LMR Systems, England
“…an extremely impressive unification of the conceptual and mathematical foundations of dimensioning….I strongly recommend this book to both students and advanced experts.  It is a true milestone.”
  Michael Leyton, Professor, Rutgers University, New Brunswick, New Jersey, USA

Descriere

Encompassing a wide range of mathematical concepts, Theory of Dimensioning: An Introduction to Parameterizing Geometric Models presents a comprehensive theory of dimensioning and parameterizing of geometric models. It develops a unified and systematic theory of intrinsic and relational dimensioning using the powerful notion of congruence. Packed with illustrative examples and exercises, it explains how basic geometric knowledge can be used to approach various dimensioning challenges and describes methods for parameterizing geometric models. It also discusses how dimensional constraints are resolved and managed and offers effective techniques to dimension and parameterize solids.