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This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to some problems in nonlinear analysis, Riemannian geometry, and applied mathematics. The theoretical results are developed in particular with respect to the study of complementarity problems, monotonicity of nonlinear mappings ,and non-gradient type monotonicity on Riemannian manifolds. Scalar and Asymptotic Derivatives: Theory and Applications also presents the material in relation to Euclidean spaces, Hilbert spaces, Banach spaces, Riemannian manifolds, and Hadamard manifolds. This book is intended for researchers and graduate students working in the fields of nonlinear analysis, Riemannian geometry, and applied mathematics. In addition, it fills a gap in the literature as the first book to appear on the subject.

Mathematics. --- Numerical analysis. --- Scalar field theory. --- Numerical analysis --- Scalar field theory --- Applied Mathematics --- Engineering & Applied Sciences --- Scalar fields --- Scalars (Mathematics) --- Functional analysis. --- Differential geometry. --- Mathematical optimization. --- Functional Analysis. --- Optimization. --- Differential Geometry. --- Calculus of tensors --- Mathematical physics --- Mathematical analysis --- Global differential geometry. --- Geometry, Differential --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Differential geometry