Basic Insights In Vector Calculus: With A Supplement On Mathematical Understanding (Hardcover)

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.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	August 2020
First published:	2021
Authors:	Terrance J. Quinn • Zine Boudhraa • Sanjay Rai
Dimensions:	158 x 235 x 21mm (L x W x T)
Format:	Hardcover
Pages:	252
ISBN-13:	978-981-12-2256-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > General Promotions
LSN:	981-12-2256-8
Barcode:	9789811222566

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