Multivariable Calculus

  • Publsiher : Unknown
  • Release : 17 November 2019
  • ISBN : 1708246991
  • Page : 322 pages
  • Rating : 4/5 from 21 voters

Download or read book entitled Multivariable Calculus written by Don Shimamoto and published by Unknown online. This book was released on 17 November 2019 with total pages 322. Available in PDF, EPUB and Kindle. Get best books that you want by click Get Book Button and Read as many books as you like.

Book Excerpt : 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. The presentation is geared towards students who enjoy learning mathematics for its own sake. As a result, there is a priority placed on understanding why things are true and a recognition that, when details are sketched or omitted, that should be acknowledged. Otherwise, the level of rigor is fairly normal. Matrices are introduced and used freely. Prior experience with linear algebra is helpful, but not required. Latest corrected printing: January 8, 2020. Updated information available online at the Open Textbook Library.

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