New sections on variational formulations and Closed Range Theorem for closed operatorsSignificant expansion of Closed Range Theorem in Banach spacesExtended examinations of topology and exposition of Schwartz’s spaces of test functionsFinal two chapters have been heavily revised
A good overview of mathematics concerning elementary logic, set theory, sequences, limits, continuity, linear algebra, vector spaces, tensors, Lebesgue measure and integration, elementary topology, metric spaces, normed spaces, and approaches for solvability of differential equations and the Banach contractive map theorem. This book also covers Banach spaces and Hilbert spaces, but I did not cover those chapters in Prof. Demkovich's course and am setting the book aside for now.