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Catalogue Information
Field name	Details
Dewey Class	515.7
Title	Calculus on Normed Vector Spaces (EB) / by Rodney Coleman.
Author	Coleman, Rodney
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer
Publication	, 2012.
Physical Details	XI, 249 pages : online resource.
Series	Universitext 0172-5939
ISBN	9781461438946
Summary Note	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.Â The inclusion of many non-trivial applications of the theory and interesting exercises provides motivation for the reader.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	http://dx.doi.org/10.1007/978-1-4614-3894-6
Links to Related Works	Subject References: Functional Analysis . Mathematical optimization . Mathematics . Optimization . Authors: Coleman, Rodney . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 515.7 .

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Calculus on Normed Vector Spaces

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