Advanced calculus :: differential calculus and Stokes' theorem /
This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry.
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin :
Walter de Gruyter GmbH, KG,
[2016]
|
Schriftenreihe: | De Gruyter textbook.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry. |
Beschreibung: | 1 online resource (314 pages) |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9783110429114 311042911X |
Internformat
MARC
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245 | 1 | 0 | |a Advanced calculus : |b differential calculus and Stokes' theorem / |c Pietro-Luciano Buono. |
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504 | |a Includes bibliographical references and index. | ||
505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Preface -- |t 1. Introduction -- |t 2. Calculus of Vector Functions -- |t 3. Tangent Spaces and 1-forms -- |t 4. Line Integrals -- |t 5. Differential Calculus of Mappings -- |t 6. Applications of Differential Calculus -- |t 7. Double and Triple Integrals -- |t 8. Wedge Products and Exterior Derivatives -- |t 9. Integration of Forms -- |t 10. Stokes' Theorem and Applications -- |t Bibliography -- |t Index. |
520 | |a This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry. | ||
650 | 0 | |a Differential calculus. |0 http://id.loc.gov/authorities/subjects/sh85018803 | |
650 | 0 | |a Mathematical analysis. |0 http://id.loc.gov/authorities/subjects/sh85082116 | |
650 | 0 | |a Stokes' theorem. |0 http://id.loc.gov/authorities/subjects/sh85128248 | |
650 | 6 | |a Calcul différentiel. | |
650 | 6 | |a Analyse mathématique. | |
650 | 6 | |a Théorème de Stokes. | |
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adam_text | |
any_adam_object | |
author | Buono, Pietro-Luciano |
author_GND | http://id.loc.gov/authorities/names/n2016049130 |
author_facet | Buono, Pietro-Luciano |
author_role | aut |
author_sort | Buono, Pietro-Luciano |
author_variant | p l b plb |
building | Verbundindex |
bvnumber | localFWS |
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callnumber-raw | QA304 .B86 2016 |
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contents | 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. |
ctrlnum | (OCoLC)959150132 |
dewey-full | 515/.33 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.33 |
dewey-search | 515/.33 |
dewey-sort | 3515 233 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | ZDB-4-EBA-ocn959150132 |
illustrated | Not Illustrated |
indexdate | 2024-11-27T13:27:25Z |
institution | BVB |
isbn | 9783110429114 311042911X |
language | English |
oclc_num | 959150132 |
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physical | 1 online resource (314 pages) |
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publishDate | 2016 |
publishDateSearch | 2016 |
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publisher | Walter de Gruyter GmbH, KG, |
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series | De Gruyter textbook. |
series2 | De Gruyter textbook |
spelling | Buono, Pietro-Luciano, author. https://id.oclc.org/worldcat/entity/E39PBJx8GkFhFkkdBRVHHGyyBP http://id.loc.gov/authorities/names/n2016049130 Advanced calculus : differential calculus and Stokes' theorem / Pietro-Luciano Buono. ©2016 Berlin : Walter de Gruyter GmbH, KG, [2016] 1 online resource (314 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier De Gruyter textbook Online resource; title from PDF title page (EBSCO, viewed February 6, 2018). Includes bibliographical references and index. 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. This textbook offers a high-level introduction to multi-variable differential calculus. By introducing differential forms early as a basic concept, the structures behind Stokes' and Gauss' theorems become much clearer. Furthermore, it offers a natural route to differential geometry. Differential calculus. http://id.loc.gov/authorities/subjects/sh85018803 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stokes' theorem. http://id.loc.gov/authorities/subjects/sh85128248 Calcul différentiel. Analyse mathématique. Théorème de Stokes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential calculus fast Mathematical analysis fast Stokes' theorem fast has work: Advanced calculus (Text) https://id.oclc.org/worldcat/entity/E39PCGwrhDmD8B94Y86g7WGGVy https://id.oclc.org/worldcat/ontology/hasWork Print version: Buono, Pietro-Luciano. Advanced calculus : differential calculus and Stokes' theorem. Berlin, [Germany] ; Boston, [Massachusetts] : De Gruyter, ©2016 x, 303 pages De Gruyter graduate. 9783110438215 De Gruyter textbook. http://id.loc.gov/authorities/names/n94049545 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1354440 Volltext |
spellingShingle | Buono, Pietro-Luciano Advanced calculus : differential calculus and Stokes' theorem / De Gruyter textbook. 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. Differential calculus. http://id.loc.gov/authorities/subjects/sh85018803 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stokes' theorem. http://id.loc.gov/authorities/subjects/sh85128248 Calcul différentiel. Analyse mathématique. Théorème de Stokes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential calculus fast Mathematical analysis fast Stokes' theorem fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85018803 http://id.loc.gov/authorities/subjects/sh85082116 http://id.loc.gov/authorities/subjects/sh85128248 |
title | Advanced calculus : differential calculus and Stokes' theorem / |
title_alt | 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. |
title_auth | Advanced calculus : differential calculus and Stokes' theorem / |
title_exact_search | Advanced calculus : differential calculus and Stokes' theorem / |
title_full | Advanced calculus : differential calculus and Stokes' theorem / Pietro-Luciano Buono. |
title_fullStr | Advanced calculus : differential calculus and Stokes' theorem / Pietro-Luciano Buono. |
title_full_unstemmed | Advanced calculus : differential calculus and Stokes' theorem / Pietro-Luciano Buono. |
title_short | Advanced calculus : |
title_sort | advanced calculus differential calculus and stokes theorem |
title_sub | differential calculus and Stokes' theorem / |
topic | Differential calculus. http://id.loc.gov/authorities/subjects/sh85018803 Mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082116 Stokes' theorem. http://id.loc.gov/authorities/subjects/sh85128248 Calcul différentiel. Analyse mathématique. Théorème de Stokes. MATHEMATICS Calculus. bisacsh MATHEMATICS Mathematical Analysis. bisacsh Differential calculus fast Mathematical analysis fast Stokes' theorem fast |
topic_facet | Differential calculus. Mathematical analysis. Stokes' theorem. Calcul différentiel. Analyse mathématique. Théorème de Stokes. MATHEMATICS Calculus. MATHEMATICS Mathematical Analysis. Differential calculus Mathematical analysis Stokes' theorem |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1354440 |
work_keys_str_mv | AT buonopietroluciano advancedcalculusdifferentialcalculusandstokestheorem |