Basic insights in vector calculus: with a supplement on mathematical understanding
"Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical phy...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey
World Scientific
[2021]
|
| Schlagworte: | |
| Zusammenfassung: | "Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows. The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms. There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching. Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus. Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided"-- |
| Beschreibung: | Includes index |
| Beschreibung: | xx, 229 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811222566 |
Internformat
MARC
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Datensatz im Suchindex
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| author | Quinn, Terrance Boudhraa, Zine Rai, Sanjay |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV047119825 |
| illustrated | Illustrated |
| index_date | 2024-07-03T16:29:00Z |
| indexdate | 2024-07-10T09:03:11Z |
| institution | BVB |
| isbn | 9789811222566 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032526159 |
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| owner_facet | DE-20 DE-573 DE-91G DE-BY-TUM |
| physical | xx, 229 Seiten Illustrationen, Diagramme |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Quinn, Terrance Verfasser (DE-588)1149777451 aut Basic insights in vector calculus with a supplement on mathematical understanding Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA New Jersey World Scientific [2021] xx, 229 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Includes index "Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows. The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms. There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching. Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus. Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided"-- Vektoranalysis (DE-588)4191992-0 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Vector analysis Mathematics Vektorrechnung (DE-588)4062471-7 s DE-604 Vektoranalysis (DE-588)4191992-0 s Boudhraa, Zine (DE-588)1229361898 aut Rai, Sanjay Verfasser (DE-588)1229362894 aut Erscheint auch als Online-Ausgabe, ebook for institutions 978-981-122-257-3 Erscheint auch als Online-Ausgabe, ebook for individuals 978-981-122-258-0 |
| spellingShingle | Quinn, Terrance Boudhraa, Zine Rai, Sanjay Basic insights in vector calculus with a supplement on mathematical understanding Vektoranalysis (DE-588)4191992-0 gnd Vektorrechnung (DE-588)4062471-7 gnd |
| subject_GND | (DE-588)4191992-0 (DE-588)4062471-7 |
| title | Basic insights in vector calculus with a supplement on mathematical understanding |
| title_auth | Basic insights in vector calculus with a supplement on mathematical understanding |
| title_exact_search | Basic insights in vector calculus with a supplement on mathematical understanding |
| title_exact_search_txtP | Basic insights in vector calculus with a supplement on mathematical understanding |
| title_full | Basic insights in vector calculus with a supplement on mathematical understanding Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA |
| title_fullStr | Basic insights in vector calculus with a supplement on mathematical understanding Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA |
| title_full_unstemmed | Basic insights in vector calculus with a supplement on mathematical understanding Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA |
| title_short | Basic insights in vector calculus |
| title_sort | basic insights in vector calculus with a supplement on mathematical understanding |
| title_sub | with a supplement on mathematical understanding |
| topic | Vektoranalysis (DE-588)4191992-0 gnd Vektorrechnung (DE-588)4062471-7 gnd |
| topic_facet | Vektoranalysis Vektorrechnung |
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