Vector Calculus Michael Corral
Material type:
TextSeries: Open textbook libraryDistributor: Open Textbook Library Publisher: Michael Corral Description: 1 online resourceSubject(s): Mathematics -- TextbooksLOC classification: QA1QA37.3Online resources: Access online version | Item type | Current library | Call number | URL | Status | Date due | Barcode | Item holds |
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eBook
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Online Access | QA1 (Browse shelf(Opens below)) | Link to resource | Available |
1 Vectors in Euclidean Space -- 2 Functions of Several Variables -- 3 Multiple Integrals -- 4 Line and Surface Integrals --
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.
Free Documentation License (GNU)
In English.
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