Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding - Softcover

Quinn, Middle Tennessee State University USA Terrance J; Boudhraa, Montgomery College Maryland USA Zine; Rai, Montgomery College Maryland USA Sanjay

Softcover

ISBN 10: 9819814464 ISBN 13: 9789819814466

Publisher: WSPC, 2020

Synopsis

Basic Insights in Vector Calculus provides an introduction to three famous theorems of vector calculus, Green's theorem, Stokes' theorem and the divergence theorem (also known as Gauss's theorem). Material is presented so that results emerge in a natural way. As in classical physics, we begin with descriptions of flows.The book will be helpful for undergraduates in Science, Technology, Engineering and Mathematics, in programs that require vector calculus. At the same time, it also provides some of the mathematical background essential for more advanced contexts which include, for instance, the physics and engineering of continuous media and fields, axiomatically rigorous vector analysis, and the mathematical theory of differential forms.There is a Supplement on mathematical understanding. The approach invites one to advert to one's own experience in mathematics and, that way, identify elements of understanding that emerge in all levels of learning and teaching.Prerequisites are competence in single-variable calculus. Some familiarity with partial derivatives and the multi-variable chain rule would be helpful. But for the convenience of the reader we review essentials of single- and multi-variable calculus needed for the three main theorems of vector calculus.Carefully developed Problems and Exercises are included, for many of which guidance or hints are provided.

Edition details

• Publisher: WSPC
• Publication date: 2020
• Language: English
• ISBN 10: 9819814464
• ISBN 13: 9789819814466
• Binding: Paperback
• Number of pages: 252