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The implicit function theorem is one of the most important theorems in analysis and its many variants are basic tools in partial differential equations and nume
The Implicit Function Theorem
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The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic f
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An introduction to computational complexity theory, its connections and interactions with mathematics, and its central role in the natural and social sciences,
Nonsmooth Equations in Optimization
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Many questions dealing with solvability, stability and solution methods for va- ational inequalities or equilibrium, optimization and complementarity problems l
Variational Analysis
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From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equi