Mathematical Analysis : Linear and Metric Structures and Continuity
This self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of...
محفوظ في:
| المؤلفون الرئيسيون: | , |
|---|---|
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2007. |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère 477 p. Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Mathematical analysis, linear and metric structures and continuity, Mariano Giaquinta, Giuseppe Modica, Boston, Birkhäuser, 2007, 1 vol. (XVIII-465 p.), 978-0-8176-4374-4 |
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| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 15-01. 2010 | ||
| 084 | |a 32K99. 2010 | ||
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| 100 | 1 | |a Giaquinta, Mariano, |d 1947-...., |c mathématicien. | |
| 245 | 1 | 0 | |a Mathematical Analysis : |b Linear and Metric Structures and Continuity |c Mariano Giaquinta, Giuseppe Modica. |
| 250 | |a 1st ed. 2007. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a L'impression du document génère 477 p. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | | | |a Contient des exercices | |
| 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 self-contained work on linear and metric structures focuses on studying continuity and its applications to finite- and infinite-dimensional spaces. The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators. Mathematical Analysis: Linear and Metric Structures and Continuity motivates the study of linear and metric structures with examples, observations, exercises, and illustrations. It may be used in the classroom setting or for self-study by advanced undergraduate and graduate students and as a valuable reference for researchers in mathematics, physics, and engineering. Other books recently published by the authors include: Mathematical Analysis: Functions of One Variable, and Mathematical Analysis: Approximation and Discrete Processes. This book builds upon the discussion in these books to provide the reader with a strong foundation in modern-day analysis | ||
| 650 | |a Continu (mathématiques) | ||
| 650 | |a Analyse fonctionnelle | ||
| 650 | |a Opérateurs auto-adjoints | ||
| 650 | |a Espaces euclidiens | ||
| 650 | |a Banach, Espaces de | ||
| 650 | |a Hilbert, Espaces de | ||
| 650 | |a Espaces vectoriels | ||
| 650 | |a Fonctions (mathématiques) | ||
| 650 | |a Algèbre linéaire | ||
| 650 | |a Espaces métriques | ||
| 700 | 1 | |a Modica, Giuseppe, |d 1948-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 117956902 |t Mathematical analysis |o linear and metric structures and continuity |f Mariano Giaquinta, Giuseppe Modica |c Boston |n Birkhäuser |d 2007 |p 1 vol. (XVIII-465 p.) |z 978-0-8176-4374-4 | |
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| 856 | 4 | |5 452349901:747881324 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-0-8176-4514-4 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750893907 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-4514-4 |z Accès INSA CVL | |
| 997 | |0 939629 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||