Universitext

Vector Analysis Versus Vector Calculus

Authors: Galbis, Antonio, Maestre, Manuel

  • Presents a precise and rigorous exposition of Stokes' theorem
  • Takes a differential geometric point of view on vector calculus and analysis
  • Designed as a textbook for upper-undergraduate students, and can also be useful for engineering and physics students​
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eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-2200-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-1-4614-2199-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

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 authors

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

Table of contents (10 chapters)

Buy this book

eBook $54.99
price for USA (gross)
  • ISBN 978-1-4614-2200-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $74.95
price for USA
  • ISBN 978-1-4614-2199-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Vector Analysis Versus Vector Calculus
Authors
Series Title
Universitext
Copyright
2012
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4614-2200-6
DOI
10.1007/978-1-4614-2200-6
Softcover ISBN
978-1-4614-2199-3
Series ISSN
0172-5939
Edition Number
1
Number of Pages
XIII, 375
Number of Illustrations and Tables
20 b/w illustrations, 59 illustrations in colour
Topics