Applied Mathematical Modelling Of Engineering Problems

The subject of the book is the "know-how" of appliedmathematical modelling: how to construct specific models and adjustthem to a new engineering environment or more precise realisticassumptions; how to analyze models for the purpose of investigatingreal life phenomena; and how the models can extend our knowledge abouta specific engineering process.Two major sources of the book are the stock of classic models and theauthors' wide experience in the field. The book provides a theoreticalbackground to guide the development of practical models and theirinvestigation. It considers general modelling techniques explainsbasic underlying physical laws and shows how to transform them into aset of mathematical equations. The emphasis is placed on commonfeatures of the modelling process in various applications as well ason complications and generalizations of models.The book covers a variety of applications: mechanical, acoustical, physical and electrical, water transportation and contaminationprocesses; bioengineering and population control; production systemsand technical equipment renovation. Mathematical tools include partialand ordinary differential equations, difference and integralequations, the calculus of variations, optimal control, bifurcationmethods, and related subjects."Audience: " The book may be used as a professional reference formathematicians, engineers, applied of industrial scientists, andadvanced students in mathematics, science or engineering. It providesexcellent material for upper-level undergraduate and graduate coursesin mathematical modelling.