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Vector Analysis Versus Vector Calculus
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Catalogue Information
Field name
Details
Dewey Class
514.74
Title
Vector Analysis Versus Vector Calculus ([Ebook]) / 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, 375 pages:. 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
Links to Related Works
Subject References:
Differential Geometry
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Global analysis
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Global Analysis and Analysis on Manifolds
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Global differential geometry
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Mathematical Applications in the Physical Sciences
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Mathematics
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Vector fields
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Authors:
author
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Galbis, Antonio
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Maestre, Manuel
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Corporate Authors:
SpringerLink (Online service)
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Series:
Universitext
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Classification:
514.74
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514.74 (DDC 23)
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