Audience linear and nonlinear functional analysis with applications is intended for advanced undergraduates graduate students and researchers and is ideal for teaching or self study. This single volume textbook covers the fundamentals of linear and nonlinear functional analysis illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This is a single volume almost comprehensive textbook for linear and nonlinear functional analysts and or those who are interested in the applications of linear and nonlinear analysis to partial differential equations selected topics from numerical analysis and optimization theory are also covered. The greattheorems ofnonlinear functional analysis 657 introduction 657 91 nonlinearpartial differential equations as the euler lagrange equations associated with the minimization ofa functional 658 92 convex functions and sequentially lowersemicontinuousfunctions withvalues inruoo 664 93 existenceofminimizers for coercive and . This book is a self contained volume containing the fundamentals of linear and nonlinear functional analysis it consists of nine chapters the first is a very brief description of real analysis and functions of several real variables it consists of theorems no proofs are given
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