000 -LEADER |
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02860nam a22004455i 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20140310151447.0 |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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120328s2012 xxu| s |||| 0|eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781461422006 |
|
978-1-4614-2200-6 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA614-614.97 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
514.74 |
Edition number |
23 |
264 #1 - |
-- |
Boston, MA : |
-- |
Springer US, |
-- |
2012. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Galbis, Antonio. |
Relator term |
author. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Vector Analysis Versus Vector Calculus |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
by Antonio Galbis, Manuel Maestre. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
XIII, 375p. 79 illus., 59 illus. in color. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Universitext, |
International Standard Serial Number |
0172-5939 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted 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. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global analysis. |
|
Topical term or geographic name as entry element |
Global differential geometry. |
|
Topical term or geographic name as entry element |
Mathematics. |
|
Topical term or geographic name as entry element |
Global Analysis and Analysis on Manifolds. |
|
Topical term or geographic name as entry element |
Differential Geometry. |
|
Topical term or geographic name as entry element |
Mathematical Applications in the Physical Sciences. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Maestre, Manuel. |
Relator term |
author. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9781461421993 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-1-4614-2200-6 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |