Most physical systems are nonlinear. The motion of a pendulum, weather patterns, and population dynamics defy linear approximation over large scales. Nonlinear functional analysis extends linear concepts to maps where ( T(x+y) \neq T(x) + T(y) ).
, published by the Society for Industrial and Applied Mathematics (
Overview
: The latter half of the book, focusing on nonlinear analysis and advanced applications, is targeted toward PhD-level research. Recommended Versions First Edition (2013) : Roughly 800 pages.