Titre :	Basic Analysis III : Mappings on Infinite Dimensional Spaces
Type de document :	document électronique
Auteurs :	K. Peterson James
Editeur :	Boca Raton : CRC Press
Année de publication :	2020
Importance :	1 vol (458 p.)
ISBN/ISSN/EAN :	978-1-351-67929-9
Langues :	Français (fre)
Catégories :	Bibliothèque numérique:Mathématique
Mots-clés :	Mathematical analysis:Textbooks Infinite groups Functional analysis
Index. décimale :	515 -Analysis
Résumé :	Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist.Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Note de contenu :	TABLE OF CONI. I.Intoduction 1.Intoduction II. Metric Spaces. 2. Metric Spaces. 3. Completing a Metric Space. III. Normed Linear Spaces. 4. Vector Spaces. 5. Normed Linear Spaces. 6. Linear Operators on Normed Spaces. IV. Inner Product Spaces. 7. Inner Product Spaces. 8. Hilbert Spaces. 9. Dual Spaces. 10. Hahn - Banach Results. 11. More About Dual Spaces. 12. Some Classical Results. V. Operators. 13. Sturm–Liouville Operators. 14. Self Adjoint Operators. VI. Topics in Applied Modeling. 15. Fields and Charges on a Set. 16. Games. VII. Summing It All Up. VIII. References. IX. Detailed Indices.
Côte titre :	E-Fs/0061
En ligne :	https://sciences-courses.univ-setif.dz/course/view.php?id=808

Basic Analysis III : Mappings on Infinite Dimensional Spaces [document électronique] / K. Peterson James . - Boca Raton : CRC Press, 2020 . - 1 vol (458 p.).
ISBN : 978-1-351-67929-9
Langues : Français (fre)

Catégories :	Bibliothèque numérique:Mathématique
Mots-clés :	Mathematical analysis:Textbooks Infinite groups Functional analysis
Index. décimale :	515 -Analysis
Résumé :	Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist.Feature: Can be used as a traditional textbook as well as for self-study Suitable for undergraduates in mathematics and associated disciplines Emphasizes learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions
Note de contenu :	TABLE OF CONI. I.Intoduction 1.Intoduction II. Metric Spaces. 2. Metric Spaces. 3. Completing a Metric Space. III. Normed Linear Spaces. 4. Vector Spaces. 5. Normed Linear Spaces. 6. Linear Operators on Normed Spaces. IV. Inner Product Spaces. 7. Inner Product Spaces. 8. Hilbert Spaces. 9. Dual Spaces. 10. Hahn - Banach Results. 11. More About Dual Spaces. 12. Some Classical Results. V. Operators. 13. Sturm–Liouville Operators. 14. Self Adjoint Operators. VI. Topics in Applied Modeling. 15. Fields and Charges on a Set. 16. Games. VII. Summing It All Up. VIII. References. IX. Detailed Indices.
Côte titre :	E-Fs/0061
En ligne :	https://sciences-courses.univ-setif.dz/course/view.php?id=808