Beltrami E.J. An algorithmic approach to nonlinear analysis and optimization

Academic Press, 1970. — 243 p.
The present work may be considered as an introductory text in nonlinear functional analysis and its applications, even though not many of the results proved in the book depend on the full apparatus of infinite-dimensional normed linear spaces. The treatment of the subject was designed to be accessible to mathematically oriented research engineers and workers in operations research who, among others, we collectively designate as applied mathematicians. The emphasis throughout is on effective (i.e., computationally feasible) algorithms and on constructive methods
for the analysis and optimization of nonlinear systems. This algorithmic approach is consistently woven into our treatment of the material, although we may be accused of being somewhat eclectic in choice of topics.
The contents of the book were taught to graduate students in the College of Engineering at the State University of New York at Stony Brook in a one-semester course over a period of several years and, to some extent, the book reflects the author's previous experience as a research mathematician in industry.