Methods of Nonlinear Analysis

Publication: New York and London, Academic Press, 1970 & 1973 Formatting: 2 vols. 8vo. Condition Report: Very Good. Both volumes present well in their original cloth bindings, with Volume I retaining its original printed dust jacket and Volume II bound in its original printed boards. The bindings remain firm and structurally tight, with only mild bumping to the spine ends and corners. The dust jacket of Volume I shows some light edge-wear, minor rubbing, and slight age-toning to the extremities, but remains largely intact. Internally, the text blocks are clean and bright, though there is some light, scattered foxing and minor offsetting to the preliminary pages, particularly in Volume I. Volume II exhibits yellowed tape residue marks to the corners of the front pastedown, likely from a removed protective cover. Overall, a highly presentable and robust two-volume set. Catalogue Note: First editions of both volumes of Richard Bellman’s comprehensive study on the application of nonlinear analysis to differential and functional equations. Published as Volumes 61-I and 61-II in the esteemed Mathematics in Science and Engineering series. Volume I features a standard previous owner's signature in pencil to the front free endpaper, while Volume II bears an illustrated Ex Libris bookplate depicting a traditional library study to the front pastedown. Complete two-volume sets of this specialized mid-century mathematical text are uncommonly found together on the open market, as they were published three years apart and frequently separated by academic institutions. A masterclass in mathematical theory by one of the 20th century's leading applied mathematicians, Methods of Nonlinear Analysis explores the fundamental techniques used to study complex differential and functional equations. Driven by the advent of the digital computer, Richard Bellman presents a spectrum of methods, ranging from simple algebraic approximations to advanced algorithms, designed to solve the complex nonlinear problems that engineers and physicists face daily. A foundational text for pure and applied mathematicians, this two-volume set remains an important touchstone in the development of modern control theory and dynamic programming.…