Vector Analysis Versus Vector Calculus: 0 2012th Edition

Vector Analysis Versus Vector Calculus: 0 2012th Edition book cover

Vector Analysis Versus Vector Calculus: 0 2012th Edition

Author(s): Antonio Galbis (Author), Manuel Maestre (Author)

  • Publisher: Springer
  • Publication Date: 26 Mar. 2012
  • Edition: 2012th
  • Language: English
  • Print length: 388 pages
  • ISBN-10: 9781461421993
  • ISBN-13: 9781461421993

Book Description

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.

Editorial Reviews

From the Back Cover

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.

About the Author

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

View on Amazon

电子书代发PDF格式价格30我要求助
未经允许不得转载:Wow! eBook » Vector Analysis Versus Vector Calculus: 0 2012th Edition