Vector Analysis Versus Vector Calculus (Universitext) by Antonio Galbis

By Antonio Galbis

the purpose of this e-book is to facilitate using Stokes' Theorem in applications.  The textual content takes a differential geometric perspective and gives for the coed a bridge among natural and utilized arithmetic by means of conscientiously construction a proper rigorous improvement of the subject and following this via to concrete functions in and 3 variables.  numerous useful tools and plenty of solved routines are supplied. This e-book attempts to teach that vector research and vector calculus usually are not continually at odds with each other.  Key issues 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 booklet is meant for top undergraduate scholars who've accomplished a customary advent to differential and quintessential calculus for capabilities of a number of variables.  The ebook can be invaluable to engineering and physics scholars who understand how to deal with the theorems of eco-friendly, Stokes and Gauss, yet wish to discover the subject further.

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