The aim of this book is to facilitate the use of Stokes Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables.Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes theorem, and divergence theorem.
This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.
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The aim of this book is to facilitate the use of Stokes Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables.Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes theorem, and divergence theorem.
This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.
VECTOR ANALYSIS VERSUS VECTOR CALCULUS from the author GALBIS, ANTONIO, MAESTRE, MANUEL edited by SPRINGER in the year 2012.
VECTOR ANALYSIS VERSUS VECTOR CALCULUS has an ISBN code 978-1-4614-2199-3 and consists of 392 pages. In this case it is format paper, but we don't have VECTOR ANALYSIS VERSUS VECTOR CALCULUS in format ebook.
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