Theory of Dimensioning

• 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.

“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