Vector Calculus
This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimi...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Livonia, Michigan
Michael Corral
2021.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| 100 | 1 | |a Corral, Michael |e author | |
| 245 | 0 | 0 | |a Vector Calculus |c Michael Corral |
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Livonia, Michigan |b Michael Corral |c 2021. | |
| 264 | 4 | |c ©2013. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a 1 Vectors in Euclidean Space -- 2 Functions of Several Variables -- 3 Multiple Integrals -- 4 Line and Surface Integrals -- | |
| 520 | 0 | |a This is a text on elementary multivariable calculus, designed for students who have completed courses in single-variable calculus. The traditional topics are covered: basic vector algebra; lines, planes and surfaces; vector-valued functions; functions of 2 or 3 variables; partial derivatives; optimization; multiple integrals; line and surface integrals. The book also includes discussion of numerical methods: Newton's method for optimization, and the Monte Carlo method for evaluating multiple integrals. There is a section dealing with applications to probability. Appendices include a proof of the right-hand rule for the cross product, and a short tutorial on using Gnuplot for graphing functions of 2 variables There are 420 exercises in the book. Answers to selected exercises are included. | |
| 542 | 1 | |f Free Documentation License (GNU) | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on print resource | |
| 650 | 0 | |a Mathematics |v Textbooks | |
| 650 | 0 | |a Calculus |v Textbooks | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/91 |z Access online version |