Vector Analysis Versus Vector Calculus
  • Release Date : 29 March 2012
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 375 pages
  • ISBN 13 : 9781461422006
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Download or read book entitled Vector Analysis Versus Vector Calculus by author: Antonio Galbis which was release on 29 March 2012 and published by Springer Science & Business Media with total page 375 pages . This book available in PDF, EPUB and Kindle Format. 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. 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, and 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.