This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Its full treatment ranges from smooth to nonsmooth functions, from convex to nonconvex variational problems, and from economics to mechanics. 1984 edition. Reprint of the John Wiley & Sons, New York, 1984 edition.
Nonlinear Programming: Analysis and Methods by Mordecai Avriel This text provides an excellent bridge between principal theories and concepts and their practical implementation. Topics include convex programming, duality, generalized convexity, analysis of selected nonlinear programs, techniques for numerical solutions, and unconstrained optimization methods.
Mathematical Methods for Scientists and Engineers : Linear and Nonlinear Systems by Peter B. Kahn Appropriate for advanced undergraduate and graduate students in a variety of scientific and engineering fields, this text introduces linear and nonlinear problems and their associated models. 1990 edition. Includes 70 figures and 4 tables.