An Illustrative Guide to Multivariable and...

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Sprache: Englisch

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Beschreibung

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.

Über den Autor

Stanley J. Miklavcic is a Professor of Mathematics at the University of South Australia. He was awarded a BSc Hons in Applied Mathematics and the University Medal by the University of New South Wales and holds a PhD from the Australian National University. His research interests include the application of mathematics and modelling in biology, physics and chemistry. A one-time recipient of a Queen Elizabeth Research Fellowship, Stanley has held academic positions in both Sweden and Australia and has published over 150 papers. Stanley is a Fellow of the Australian Mathematical Society and Member of both the Australasian Colloid and Interface Society and the Australian Society of Plant Scientists.

Zusammenfassung

Offers an in-depth visual approach to multivariable and vector calculus

Complements existing textbooks on the subject by being concise and portable

Includes over one hundred carefully drawn figures that illustrate the material with clarity and ingenuity

Includes supplementary material: [...]

Inhaltsverzeichnis

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.

Details

Medium:	Taschenbuch
Seiten:	328
Inhalt:	xvi 309 S. 101 s/w Illustr. 183 farbige Illustr. 309 p. 284 illus. 183 illus. in color.
ISBN-13:	9783030334611
ISBN-10:	3030334619
Sprache:	Englisch
Ausstattung / Beilage:	Paperback
Einband:	Kartoniert / Broschiert
Autor:	Miklavcic, Stanley J.
Auflage:	1st ed. 2020
Hersteller:	Springer International Publishing
Maße:	235 x 155 x 18 mm
Von/Mit:	Stanley J. Miklavcic
Erscheinungsdatum:	18.02.2021
Gewicht:	0,499 kg

preigu-id: 119586934