Multivariable Calculus
Price  $40.00  $63.95

eBook  Free 
Rating  
Author  Don Shimamoto 
Publisher  Selfpublishing 
Published  2019 
Pages  326 
Language  English 
Format  Paper book / ebook (PDF) 
ISBN10  1708246991 
ISBN13  9781708246990 
This book covers the standard material for a onesemester 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: vectorvalued functions of one variable, realvalued functions of many variables, and, finally, the general case of vectorvalued 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.
 Don Shimamoto
4 5 4
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