Calculus on normed vector spaces
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 introd...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Édition: | 1st ed. 2012. |
| Collection: | Universitext
|
| Sujets: | |
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 • Calculus on Normed Vector Spaces, Texte imprimé, 9781461438953 • Calculus on normed vector spaces, Rodney Coleman, New York, Springer, 2012, 1 vol. (XI-249 p.), Universitext, 978-1-461-43893-9 |
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| 100 | 1 | |a Coleman, Rodney, |d 19..-...., |c auteur en sciences. | |
| 245 | 1 | 0 | |a Calculus on normed vector spaces |c Rodney Coleman. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Universitext |x 2191-6675 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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 | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 | ||
| 650 | |a Fonctions de plusieurs variables complexes | ||
| 650 | |a Espaces linéaires normés | ||
| 776 | 0 | |0 16469630X |t Calculus on normed vector spaces |f Rodney Coleman |c New York |n Springer |d 2012 |p 1 vol. (XI-249 p.) |s Universitext |z 978-1-461-43893-9 | |
| 776 | 0 | |0 16469630X |t Calculus on normed vector spaces |f Rodney Coleman |c New York |n Springer |d 2012 |p 1 vol. (XI-249 p.) |s Universitext |z 978-1-461-43893-9 | |
| 776 | 0 | |t Calculus on Normed Vector Spaces |b Texte imprimé |z 9781461438953 | |
| 776 | 0 | |0 16469630X |t Calculus on normed vector spaces |f Rodney Coleman |c New York |n Springer |d 2012 |p 1 vol. (XI-249 p.) |s Universitext |z 978-1-461-43893-9 | |
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