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Basic insights in vector calculus :with a supplement on mathematical understanding /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Basic insights in vector calculus :Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA.
其他題名:	with a supplement on mathematical understanding /
作者:	Quinn, Terrance J.
面頁冊數:	xx, 229 pages :illustrations (chiefly color) ;24 cm
標題:	Vector analysis.
ISBN:	9789811222566

Basic insights in vector calculus :with a supplement on mathematical understanding /
Quinn, Terrance J.(Professor of mathematics),

Basic insights in vector calculus :with a supplement on mathematical understanding /Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA. - xx, 229 pages :illustrations (chiefly color) ;24 cm

Includes bibliographical references and index.

"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"--

ISBN: 9789811222566

Standard Tech. Report. No.: cam 2200337 i 4500

LCCN: 2020030528Subjects--Topical Terms:

183607
Vector analysis.

LC Class. No.: QA433 / .Q85 2020

Dewey Class. No.: 515/.63

Basic insights in vector calculus :with a supplement on mathematical understanding /
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245 1 0 $a Basic insights in vector calculus : $b with a supplement on mathematical understanding / $c Terrance Quinn, Middle Tennessee State University, USA, Zine Boudhraa, Montgomery College, Maryland, USA, Sanjay Rai, Montgomery College, Maryland, USA.
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520 $a "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"-- $c Provided by publisher.
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