TY - BOOK AU - Coleman, Rodney TI - Calculus on normed vector spaces SN - 9781461438939 AV - QA 322.2 .C65 2012 PY - 2012/// CY - New York, NY PB - Springer KW - NORMED LINEAR SPACES N1 - Includes bibliographical references and index; Normed Vector Spaces -- Differentiation -- Mean Value Theorems -- Higher Derivatives and Differentials -- Taylor Theorems and Applications -- Hilbert Spaces -- Convex Functions -- The Inverse and Implicit Mapping Theorems -- Vector Fields -- The Flow of a Vector Field -- The Calculus of Variations: An Introduction N2 - Annotation This volume bridges a gap between introductory and high-level textbooks, showing how calculus on normed vector spaces extends the basic calculus of functions of several variables. It includes many non-trivial applications of the theory and interesting exercises ER -