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Vector Analysis Versus Vector Calculus: 0 (Universitext) - Tapa blanda

Libro 98 de 261: Universitext

Galbis, Antonio; Maestre, Manuel

 
9781461421993: Vector Analysis Versus Vector Calculus: 0 (Universitext)
Tapa blanda
ISBN 10: 1461421993 ISBN 13: 9781461421993
Editorial: Springer, 2012

Sinopsis

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. Several practical methods and many solved exercises are provided. This book tries to show that vector analysis and vector calculus are not always at odds with one another.

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;
-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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Acerca del autor

Antonio Galbis and Manuel Maestre are currently professors of mathematics at the University of Valencia in Spain.

De la contraportada

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.  Several practical methods and many solved exercises are provided. This book tries to show that vector analysis and vector calculus are not always at odds with one another. <br> <br>Key topics include:<br>-vectors and vector fields;<br>-line integrals;<br>-regular k-surfaces;<br>-flux of a vector field;<br>-orientation of a surface;<br>-differential forms;<br>-Stokes' theorem;<br>-divergence theorem.<br> <br>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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2012
Idioma
Inglés
ISBN 10 
1461421993
ISBN 13 
9781461421993
Encuadernación
Tapa blanda
Número de páginas
392
Contacto del fabricante
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