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[null,"1.","Record Nr.",null,"UNINA9910798611603321"]
[null,null,"Autore",null,"Buono Pietro-Luciano"]
[null,null,"Titolo",null,"Advanced calculus : differential calculus and Stokes' theorem / / Pietro-Luciano Buono"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016"]
[{"$nulls":4},"©2016"]
[null,null,"ISBN",null,"3-11-042911-X"]
[null,null,"Descrizione fisica",null,"1 online resource (314 pages) : illustrations"]
[null,null,"Collana",null,"De Gruyter Graduate"]
[null,null,"Disciplina",null,"515/.33"]
[null,null,"Soggetti",null,"Differential calculus"]
[{"$nulls":4},"Mathematical analysis"]
[{"$nulls":4},"Stokes' theorem"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"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"]
[null,null,null,"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"]