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Vector Analysis Versus Vector Calculus

Vector Analysis Versus Vector Calculus
Catalogue Information
Field name Details
Dewey Class 514.74
Title Vector Analysis Versus Vector Calculus (EB) / by Antonio Galbis, Manuel Maestre.
Author Galbis, Antonio
Added Personal Name Maestre, Manuel
Other name(s) SpringerLink (Online service)
Publication Boston, MA : : Springer US, , 2012.
Physical Details XIII, 375p. 79 illus., 59 illus. in color. : online resource.
Series Universitext 0172-5939
ISBN 9781461422006
Summary Note 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.:
Contents note Preface -- 1 Vectors and Vector Fields -- 2 Line Integrals -- 3 Regular k-surfaces -- 4 Flux of a Vector Field -- 5 Orientation of a Surface -- 6 Differential Forms -- Integration on Surfaces -- 8 Surfaces with Boundary -- 9 The General Stokes' Theorem -- Solved Exercises -- References -- Index.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site http://dx.doi.org/10.1007/978-1-4614-2200-6
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