000 02991nam a22004815i 4500
001 978-1-4614-2200-6
003 DE-He213
005 20140220083245.0
007 cr nn 008mamaa
008 120328s2012 xxu| s |||| 0|eng d
020 _a9781461422006
_9978-1-4614-2200-6
024 7 _a10.1007/978-1-4614-2200-6
_2doi
050 4 _aQA614-614.97
072 7 _aPBKS
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a514.74
_223
100 1 _aGalbis, Antonio.
_eauthor.
245 1 0 _aVector Analysis Versus Vector Calculus
_h[electronic resource] /
_cby Antonio Galbis, Manuel Maestre.
264 1 _aBoston, MA :
_bSpringer US,
_c2012.
300 _aXIII, 375p. 79 illus., 59 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUniversitext,
_x0172-5939
505 0 _aPreface -- 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 _aThe 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 _aMathematics.
650 0 _aGlobal analysis.
650 0 _aGlobal differential geometry.
650 1 4 _aMathematics.
650 2 4 _aGlobal Analysis and Analysis on Manifolds.
650 2 4 _aDifferential Geometry.
650 2 4 _aMathematical Applications in the Physical Sciences.
700 1 _aMaestre, Manuel.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461421993
830 0 _aUniversitext,
_x0172-5939
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-2200-6
912 _aZDB-2-SMA
999 _c101230
_d101230