Prêtable
| Titre : | Fundamentals of Analysis with Applications |
| Auteurs : | Atul Kumar Razdan, Auteur ; V. Ravichandran, Auteur |
| Type de document : | texte imprimé |
| Mention d'édition : | 1st ed. |
| Editeur : | Springer Nature, 2022 |
| ISBN/ISSN/EAN : | 978-981-1683824-- |
| Format : | 477p. / ill.couv en coul. / 24 Cm. |
| Langues: | Anglais |
| Langues originales: | Anglais |
| Index. décimale : | 515 (Analyse mathématique (Calcul ; Théorie des fonctions, le calcul différentiel et intégral et les équations différentielles et intégrales)) |
| Catégories : | |
| Mots-clés: | Analysis ; Real Functions ; Set Theory ; Sequences, Series, Summability ; Algebraic Topology ; Fourier Analysis |
| Résumé : | This book serves as a textbook in real analysis. It focuses on the fundamentals of the structural properties of metric spaces and analytical properties of functions defined between such spaces. Topics include sets, functions and cardinality, real numbers, analysis on R, topology of the real line, metric spaces, continuity and differentiability, sequences and series, Lebesgue integration, and Fourier series. It is primarily focused on the applications of analytical methods to solving partial differential equations rooted in many important problems in mathematics, physics, engineering, and related fields. Both the presentation and treatment of topics are fashioned to meet the expectations of interested readers working in any branch of science and technology. Senior undergraduates in mathematics and engineering are the targeted student readership, and the topical focus with applications to real-world examples will promote higher-level mathematical understanding for undergraduates in sciences and engineering. |
| Note de contenu : |
Summary:
Chapitre 1. Sets, Functions and Cardinality Chapitre 2. The Real Numbers Chapitre 3. Sequence and Series of Numbers Chapitre 4. Analysis on R Chapitre 5. Topology of the Real Line Chapitre 6. Metric Spaces Chapitre 7. Continuity and Differentiability Chapitre 8. Sequences and Series of Functions Chapitre 9. Lebesgue Integration Chapitre 10. Fourier Series. |
Exemplaires (1)
| Cote | Support | Localisation | Section | Disponibilité |
|---|---|---|---|---|
| F8/12785 | Livre | Bibliothèque de la Faculté de Technologie | Salle des livres | Disponible |
