TY - BOOK AU - Simon, Jacques C. H. AU - ED - ED - ED - ED - SN - 9781119426516;1119426510 SN - 2 PY - 2017///46 CY - London, UK :;Hoboken, NJ PB - ISTE, Ltd. ;;Wiley KW - KW - 2 KW - 0 KW - 6 KW - 20 KW - Banach spaces.;Fréchet spaces.;MATHEMATICS / Calculus;MATHEMATICS / Mathematical Analysis;Banach spaces.;Fréchet spaces KW - bisacsh;bisacsh;fast;fast KW - Electronic books N1 - Includes bibliographical references and index; Prerequisites -- SEMI-NORMED SPACES. Semi-normed Spaces -- Comparison of Semi-normed Spaces -- Banach, Fréchet and Neumann Spaces -- Hilbert Spaces -- Product, Intersection, Sum and Quotient of Spaces -- CONTINUOUS MAPPINGS. Continuous Mappings -- Images of Sets Under Continuous Mappings -- Properties of Mappings in Metrizable Spaces -- Extension of Mappings, Equicontinuity -- Compactness in Mapping Spaces -- Spaces of Linear or Multilinear Mappings -- WEAK TOPOLOGIES. Duality -- Dual of a Subspace -- Weak Topology -- Properties of Sets for the Weak Topology -- Reflexivity -- Extractable Spaces -- DIFFERENTIAL CALCULUS. Differentiable Mappings -- Differentiation of Multivariable Mappings -- Successive Differentiations -- Derivation of Functions of One Real Variable; 5 ER -