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| fixed length control field |
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| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
230829b xxu||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9789811222566 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
515.63 |
| Item number |
QUI |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Quinn, Terrance |
| 245 ## - TITLE STATEMENT |
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| Title |
Basic insights in vector calculus : with a supplement on mathematical understanding |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
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| Name of publisher, distributor, etc |
World Scientific, |
| Date of publication, distribution, etc |
2021 |
| Place of publication, distribution, etc |
New Jersey : |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xx, 229 p. ; |
| Other physical details |
ill., (some color ), |
| Dimensions |
24 cm |
| 365 ## - TRADE PRICE |
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| Price amount |
98.00 |
| Price type code |
EUR |
| Unit of pricing |
94.90 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc |
Includes index. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Bernard Lonergan |
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| Topical term or geographic name as entry element |
Chain rule |
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| Topical term or geographic name as entry element |
Circulation density |
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| Topical term or geographic name as entry element |
Coordinate geometry |
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| Topical term or geographic name as entry element |
Divergence theorem |
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| Topical term or geographic name as entry element |
Dot product |
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| Topical term or geographic name as entry element |
Fluid dynamics |
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| Topical term or geographic name as entry element |
Fundamental theorem |
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| Topical term or geographic name as entry element |
Green's theorem |
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| Topical term or geographic name as entry element |
Integral curves |
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| Topical term or geographic name as entry element |
Leibniz approximation |
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| Topical term or geographic name as entry element |
Mass-flow rate |
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| Topical term or geographic name as entry element |
Mass-flow rate |
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| Topical term or geographic name as entry element |
Plane problem |
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| Topical term or geographic name as entry element |
Streamlines |
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| Topical term or geographic name as entry element |
Unit circle |
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| Topical term or geographic name as entry element |
Vector field |
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| Topical term or geographic name as entry element |
Water flow |
| 700 ## - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Boudhraa, Zine |
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| Personal name |
Rai, Sanjay |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
Books |