Logo - springer
Slogan - springer

Mathematics - Analysis | Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus

Series: Universitext

Galbis, Antonio, Maestre, Manuel

2012, XIII, 375p. 79 illus., 59 illus. in color.

Available Formats:

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.


(net) price for USA

ISBN 978-1-4614-2200-6

digitally watermarked, no DRM

Included Format: PDF

download immediately after purchase

learn more about Springer eBooks

add to marked items


Softcover (also known as softback) version.

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.


(net) price for USA

ISBN 978-1-4614-2199-3

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days

add to marked items

  • 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​
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.

Content Level » Upper undergraduate

Keywords » Stokes' theorem - differential form - integration on surfaces - line integrals - orientation of a surface - regular k-surfaces - surfaces with boundary - vector analysis - vector calculus - vector field

Related subjects » Analysis - Geometry & Topology

Table of contents / Preface / Sample pages 

Popular Content within this publication 



Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Global Analysis and Analysis on Manifolds.