Constraint Theory
Multidimensional Mathematical Model Management
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Beschreibung
Packed with new material and research, this second edition of George Friedman’s bestselling Constraint Theory remains an invaluable reference for all engineers, mathematicians, and managers concerned with modeling. As in the first edition, this text analyzes the way Constraint Theory employs bipartite graphs and presents the process of locating the “kernel of constraint” trillions of times faster than brute-force approaches, determining model consistency and computational allowability. Unique in its abundance of topological pictures of the material, this book balances left- and right-brain perceptions to provide a thorough explanation of multidimensional mathematical models. Much of the extended material in this new edition also comes from Phan Phan’s PhD dissertation in 2011, titled “Expanding Constraint Theory to Determine Well-Posedness of Large Mathematical Models.”
Praise for the first edition:
"Dr.
George Friedman is indisputably the father of the very powerful methods of constraint theory." --Cornelius T. Leondes, UCLA"Groundbreaking work. ... Friedman's accomplishment represents engineering at its finest. ... The credibility of the theory rests upon the formal proofs which are interspersed among the illuminating hypothetical dialog sequences between manager and analyst, which bring out distinctions that the organization must face, en route to accepting Friedman's work as essential to achieve quality control in developing and applying large models." --John N. Warfield
This text analyses the defectiveness of large mathematical models of physical systems. It demonstrates how to use the bipartite graph of the defective model to pinpoint and overcome that inconsistency. Enriched "with formal proofs interspersed among the illuminating hypothetical dialog sequences between manager and analyst, this work is an essential tool in achieving quality control in developing and applying large models." - John Warfield. It is an indispensable reference for mathematician, engineer and manager alike.
Perfect for the practical engineer who wishes to gain greater control of multidimensional mathematical models Expands the first edition with new material and research on constraint theory Includes a large number of topological pictures that make the material more accessible A classic reference for all engineers, mathematicians, and managers concerned with modeling Includes supplementary material: sn.pub/extras
Autor*in
George J. Friedman
Themen in »Constraint Theory«
Mathematica complex systems complexity kernel management model modeling
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“The book contains many open problems and suggestions for further research. … The book is very useful for researchers in discrete mathematics and combinatorics, applied statisticians, coding theorists and signal processors, but also for graduate students interested in these fields of mathematics.” (Dean Crnković, zbMATH 1400.05002, 2019)
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