An Illustrative Guide to Multivariable and Vector Calculus. 1st ed. 2020

種類:

電子ブック

責任表示:

by Stanley J. Miklavcic

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Miklavcic, Stanley J.
• SpringerLink (Online service)

ISBN:

9783030334598 [3030334597]    

注記:

1. Preliminary Ideas -- 2. Introduction to Differentiation -- 3. Applications of the Differential Calculus -- 4. Introduction to Integration -- 5. Vector Calculus -- Glossary of Symbols -- Bibliography -- Index.
This textbook focuses on one of the most valuable skills in multivariable and vector calculus: visualization. With over one hundred carefully drawn color images, students who have long struggled picturing, for example, level sets or vector fields will find these abstract concepts rendered with clarity and ingenuity. This illustrative approach to the material covered in standard multivariable and vector calculus textbooks will serve as a much-needed and highly useful companion. Emphasizing portability, this book is an ideal complement to other references in the area. It begins by exploring preliminary ideas such as vector algebra, sets, and coordinate systems, before moving into the core areas of multivariable differentiation and integration, and vector calculus. Sections on the chain rule for second derivatives, implicit functions, PDEs, and the method of least squares offer additional depth; ample illustrations are woven throughout. Mastery Checks engage students in material on the spot, while longer exercis

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