This is the first book in an incredible five volume work on nonlinear functional analysis and its applications the volumes i fixed point theorems iia linear monotone operators iib nonlinear montone operators iii variational methods and optimization iv applications to mathematical physics are together over 3700 pages in length. This is the first book in an incredible five volume work on nonlinear functional analysis and its applications the volumes i fixed point theorems iia linear monotone operators iib nonlinear montone operators iii variational methods and optimization iv applications to mathematical physics are together over 3700 pages in length. David hilbert over the last 15 years i have given lectures on a variety of problems in nonlinear functional analysis and its applications in doing this i have recommended to my students a number of excellent nonlinear functional analysis and its applications iii variational methods and optimization authors iii variational methods . Nonlinear functional analysis and its applications iii variational methods and optimization authors view affiliations eberhard zeidler david hilbert over the last 15 years i have given lectures on a variety of problems in nonlinear functional analysis and its applications mathematica calculus functional analysis optimization . Nonlinear functional analysis and its applications iii variational methods and optimization eberhard zeidler auth as long as a branch of knowledge offers an abundance of problems it is full of vitality