This book covers the standard material for a one-semester course in multivariable calculus. The topics include curves, differentiability and partial derivatives, multiple integrals, vector fields, line and surface integrals, and the theorems of Green, Stokes, and Gauss. Roughly speaking the book is organized into three main parts corresponding to the type of function being studied: vector-valued functions of one variable, real-valued functions of many variables, and finally the general case of vector-valued functions of many variables. As is always the case, the most productive way for students to learn is by doing problems, and the book is written to get to the exercises as quickly as possible.
Don Shimamoto, Swarthmore College
Don Shimamoto, Swarthmore College, “Multivariable Calculus,” Open Educational Resource (OER) - USK Library, accessed December 7, 2023, http://uilis.usk.ac.id/oer/items/show/3201.