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An illustrative guide to multivariab...

Miklavcic, Stanley J.

An illustrative guide to multivariable and vector calculus

Record Type:	Electronic resources : Monograph/item
Title/Author:	An illustrative guide to multivariable and vector calculusby Stanley J. Miklavcic.
Author:	Miklavcic, Stanley J.
Published:	Cham :Springer International Publishing :2020.
Description:	xvi, 309 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Calculus.
Online resource:	https://doi.org/10.1007/978-3-030-33459-8
ISBN:	9783030334598$q(electronic bk.)

An illustrative guide to multivariable and vector calculus
Miklavcic, Stanley J.

An illustrative guide to multivariable and vector calculus[electronic resource] /by Stanley J. Miklavcic. - Cham :Springer International Publishing :2020. - xvi, 309 p. :ill., digital ;24 cm.

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 exercise sets at the end of each chapter reinforce techniques. An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.

ISBN: 9783030334598$q(electronic bk.)

Standard No.: 10.1007/978-3-030-33459-8doiSubjects--Topical Terms:

183091
Calculus.

LC Class. No.: QA303.2 / .M555 2020

Dewey Class. No.: 515

An illustrative guide to multivariable and vector calculus
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505 0 $a 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.
520 $a 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 exercise sets at the end of each chapter reinforce techniques. An Illustrative Guide to Multivariable and Vector Calculus will appeal to multivariable and vector calculus students and instructors around the world who seek an accessible, visual approach to this subject. Higher-level students, called upon to apply these concepts across science and engineering, will also find this a valuable and concise resource.
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