Advanced calculus : differential calculus and Stokes' theorem / / Pietro-Luciano Buono
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| Autore: |
Buono Pietro-Luciano
|
| Titolo: |
Advanced calculus : differential calculus and Stokes' theorem / / Pietro-Luciano Buono
|
| Pubblicazione: | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
| ©2016 | |
| Descrizione fisica: | 1 online resource (314 pages) : illustrations |
| Disciplina: | 515/.33 |
| Soggetto topico: | Differential calculus |
| Mathematical analysis | |
| Stokes' theorem | |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Frontmatter -- Contents -- Preface -- 1. Introduction -- 2. Calculus of Vector Functions -- 3. Tangent Spaces and 1-forms -- 4. Line Integrals -- 5. Differential Calculus of Mappings -- 6. Applications of Differential Calculus -- 7. Double and Triple Integrals -- 8. Wedge Products and Exterior Derivatives -- 9. Integration of Forms -- 10. Stokes' Theorem and Applications -- Bibliography -- Index |
| Sommario/riassunto: | This textbook offers a high-level introduction to multi-variable differential calculus. Differential forms are introduced incrementally in the narrative, eventually leading to a unified treatment of Green's, Stokes' and Gauss' theorems. Furthermore, the presentation offers a natural route to differential geometry. Contents:Calculus of Vector FunctionsTangent Spaces and 1-formsLine IntegralsDifferential Calculus of MappingsApplications of Differential CalculusDouble and Triple IntegralsWedge Products and Exterior DerivativesIntegration of FormsStokes' Theorem and Applications |
| Titolo autorizzato: | Advanced calculus |
| ISBN: | 3-11-042911-X |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910798611603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
De Gruyter graduate.