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Record Nr. |
UNINA9910798611603321 |
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Autore |
Buono Pietro-Luciano |
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Titolo |
Advanced calculus : differential calculus and Stokes' theorem / / Pietro-Luciano Buono |
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Pubbl/distr/stampa |
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Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
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©2016 |
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ISBN |
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Descrizione fisica |
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1 online resource (314 pages) : illustrations |
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Collana |
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Disciplina |
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Soggetti |
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Differential calculus |
Mathematical analysis |
Stokes' theorem |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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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 |
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