Exterior Calculus:
Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore gener...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore :
Bentham Science Publishers,
2021.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations. |
| Beschreibung: | Description based upon print version of record. |
| Beschreibung: | 1 online resource (141 p.) |
| ISBN: | 9814998788 9789814998789 |
Internformat
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| 245 | 1 | 0 | |a Exterior Calculus |h [electronic resource]. |
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| 300 | |a 1 online resource (141 p.) | ||
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| 505 | 0 | |a Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index | |
| 520 | |a Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations. | ||
| 650 | 0 | |a Calculus. |0 http://id.loc.gov/authorities/subjects/sh85018802 | |
| 650 | 6 | |a Calcul infinitésimal. | |
| 650 | 7 | |a calculus. |2 aat | |
| 650 | 7 | |a Calculus |2 fast | |
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| 758 | |i has work: |a EXTERIOR CALCULUS (Text) |1 https://id.oclc.org/worldcat/entity/E39PCY7Y694Yt6TXWMKwCDRJCP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Polanco, Carlos |t Exterior Calculus: Theory and Cases |d Singapore : Bentham Science Publishers,c2021 |z 9789814998796 |
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Datensatz im Suchindex
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| author | Polanco, Carlos |
| author_GND | http://id.loc.gov/authorities/names/no2009021316 |
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| contents | Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index |
| ctrlnum | (OCoLC)1281973709 |
| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-on1281973709 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:30:25Z |
| institution | BVB |
| isbn | 9814998788 9789814998789 |
| language | English |
| oclc_num | 1281973709 |
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| physical | 1 online resource (141 p.) |
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| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | Bentham Science Publishers, |
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| spelling | Polanco, Carlos. http://id.loc.gov/authorities/names/no2009021316 Exterior Calculus [electronic resource]. Singapore : Bentham Science Publishers, 2021. 1 online resource (141 p.) Description based upon print version of record. Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index Exterior calculus is a branch of mathematics which involves differential geometry. In Exterior calculus the concept of differentiations is generalized to antisymmetric exterior derivatives and the notions of ordinary integration to differentiable manifolds of arbitrary dimensions. It therefore generalizes the fundamental theorem of calculus to Stokes' theorem. This textbook covers the fundamental requirements of exterior calculus in curricula for college students in mathematics and engineering programs. Chapters start from Heaviside-Gibbs algebra, and progress to different concepts in Grassman algebra. The final section of the book covers applications of exterior calculus with solutions. Readers will find a concise and clear study of vector calculus and differential geometry, along with several examples and exercises. The solutions to the exercises are also included at the end of the book. This is an ideal book for students with a basic background in mathematics who wish to learn about exterior calculus as part of their college curriculum and equip themselves with the knowledge to apply relevant theoretical concepts in practical situations. Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat Calculus fast Electronic book. has work: EXTERIOR CALCULUS (Text) https://id.oclc.org/worldcat/entity/E39PCY7Y694Yt6TXWMKwCDRJCP https://id.oclc.org/worldcat/ontology/hasWork Print version: Polanco, Carlos Exterior Calculus: Theory and Cases Singapore : Bentham Science Publishers,c2021 9789814998796 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=3030068 Volltext |
| spellingShingle | Polanco, Carlos Exterior Calculus Cover -- Title -- Copyright -- End User License Agreement -- Contents -- Foreword -- Preface -- Acknowledgements -- Dedication -- List of Credits -- List of Symbols -- Part I -- Chapter 1 -- Part II -- Chapter 2 -- Chapter 3 -- Chapter 4 -- Chapter 5 -- Chapter 6 -- Chapter 7 -- Part III -- Chapter 8 -- Chapter 9 -- References -- Subject Index Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat Calculus fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85018802 |
| title | Exterior Calculus |
| title_auth | Exterior Calculus |
| title_exact_search | Exterior Calculus |
| title_full | Exterior Calculus [electronic resource]. |
| title_fullStr | Exterior Calculus [electronic resource]. |
| title_full_unstemmed | Exterior Calculus [electronic resource]. |
| title_short | Exterior Calculus |
| title_sort | exterior calculus |
| topic | Calculus. http://id.loc.gov/authorities/subjects/sh85018802 Calcul infinitésimal. calculus. aat Calculus fast |
| topic_facet | Calculus. Calcul infinitésimal. calculus. Calculus Electronic book. |
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| work_keys_str_mv | AT polancocarlos exteriorcalculus |