Detalles del Título
Detalles del Título

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Título Calculus on Normed Vector SpacesLibro Electrónico / En Línea - Libro
Parte de Springer eBooks 2013: Colección 2012
Autor(es) Coleman, Rodney (Autor)
SpringerLink (Online service) (Autor Corporativo)
Publicación Estados Unidos : Springer New York, 2012 ; Imprint Springer
Descripción Fí­sica 1 recurso en línea
Idioma Ingles;
Series UNIVERSITEXT
ISBN 9781461438946
Clasificación(es) 515.7
Materia(s) Functional analysis; Mathematical optimization; Mathematics; Optimization;
Nota(s) This book serves as an introduction to calculus on normed vector spaces at a higher undergraduate or beginning graduate level. The prerequisites include basic calculus and linear algebra, as well as a certain mathematical maturity. All the important topology and functional analysis topics are introduced where necessary. In its attempt to show how calculus on normed vector spaces extends the basic calculus of functions of several variables, this book is one of the few textbooks to bridge the gap between the available elementary texts and high level texts.  The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader
Resumen Preface -- 1 Normed Vector Spaces -- 2 Differentiation -- 3 Mean value theorems -- 4 Higher derivatives and differentials -- 5 Taylor theorems and applications -- 6 Hilbert spaces -- 7 Convex functions -- 8 The inverse and implicit mapping theorems -- 9 Vector fields -- 10 The flow of a vector field -- 11 The calculus of variations: an introduction -- Bibliography -- Index¿
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