000			02328nam a22003377a 4500
003			OSt
005			20241023203520.0
008			241022b |||||||| |||| 00| 0 hin d
020			_a9781071601259
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a514.742 _bGAL-V
100			_aGalbis, Antonio
245			_aVector analysis versus vector calculus
260			_aNew York : _bSpringer, _c2012.
300			_axiii, 375 p. : _bill. (some col.) ; _c24 cm.
490			_aUniversitext _x0172-5939
504			_aIncludes bibliographical references (p. 369) and 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 physicsstudents who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.
650			_aVector analysis
650			_aStokes' theorem
650			_aCalculus of variations
650			_aVector calculus
650			_aDifferential form
650			_aIntegration on surfaces
700			_aMaestre, Manuel.
856			_3Electronic version _uhttps://link.springer.com/book/10.1007/978-1-4614-2200-6
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4614-2200-6/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/77355784-vector-analysis-versus-vector-calculus-universitext-special-indian-ed?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35329 _d35329