Variational Methods for the Study of Nonlinear Operators

San Francisco: Holden-Day, 1964. First English Language Edition. Large octavo with grey boards and red/gilt stamped title square; x, 323 pages; index; 26 cm Very good (+) to near fine; pages are bright and clean and binding strong; boards gently bumped on lower corners, with slight tack from spine sticker. Hardcover.

Translated from the Russian. Part of the Holden-Day Series in Mathematical Physics."The subject to which this book is devoted should be of interest both to pure mathematicians and to workers in applied sciences who are increaslingly often required to deal with nonlinear systems and their associated nonlinear equations. The main subject has up to the present time appeared only in Russian journals. As the author's techniques are directed mainly towards proving existence theorems (largely concerning nonlinear integral operators), rather than developing techniques for the actual solution of nonlinear equations, it was thought the addition of the last chapter of the Russian book "Functional analysis in normed spaces" by L.V. Kantorovich and G.P. Akilov devoted to the extension of Newton's method to nonlinear functional equations would substantially increase the usefulness of this translation"--Translator's preface