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

Af: Sanjay Rai, Zine Boudhraa, Terrance J Quinn Engelsk Hardback

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

Af: Sanjay Rai, Zine Boudhraa, Terrance J Quinn Engelsk Hardback
Tjek vores konkurrenters priser

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.

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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.

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Se mere i:
Produktdetaljer
Sprog: Engelsk
Sider: 252
ISBN-13: 9789811222566
Indbinding: Hardback
Udgave:
ISBN-10: 9811222568
Kategori: Regning
Udg. Dato: 20 aug 2020
Længde: 21mm
Bredde: 235mm
Højde: 158mm
Forlag: World Scientific Publishing Co Pte Ltd
Oplagsdato: 20 aug 2020
Forfatter(e): Sanjay Rai, Zine Boudhraa, Terrance J Quinn
Forfatter(e) Sanjay Rai, Zine Boudhraa, Terrance J Quinn

Kategori Regning

ISBN-13 9789811222566

Sprog Engelsk

Indbinding Hardback

Sider 252

Udgave

Længde 21mm

Bredde 235mm

Højde 158mm

Udg. Dato 20 aug 2020

Oplagsdato 20 aug 2020

Forlag World Scientific Publishing Co Pte Ltd

Kategori sammenhænge