By Alan Macdonald
This textbook for the undergraduate vector calculus path provides a unified therapy of vector and geometric calculus. this can be a 3rd printing, corrected and just a little revised.
The ebook is a sequel to the textual content Linear and Geometric Algebra through an identical writer. That textual content is a prerequisite for this one. Its web content is at faculty.luther.edu/~macdonal/laga.
Linear algebra and vector calculus have supplied the elemental vocabulary of arithmetic in dimensions more than one for the prior 100 years. simply as geometric algebra generalizes linear algebra in robust methods, geometric calculus generalizes vector calculus in strong ways.
Traditional vector calculus subject matters are lined, as they have to be, given that readers will come upon them in different texts and out within the world.
Differential geometry is used this present day in lots of disciplines. a last bankruptcy is dedicated to it.
stopover at the book's website at faculty.luther.edu/~macdonal/vagc to obtain its desk of contents, preface, and index.
From a assessment of Linear and Geometric Algebra:
Alan Macdonald's textual content is a wonderful source while you are simply starting the examine of geometric algebra and wish to examine or evaluate conventional linear algebra within the procedure. The readability and evenness of the writing, in addition to the originality of presentation that's obvious all through this article, recommend that the writer has been winning as a arithmetic instructor within the undergraduate school room. This conscientiously crafted textual content is perfect for somebody studying geometric algebra in relative isolation, which i think could be the case for plenty of readers.
-- Jeffrey Dunham, William R. Kenan Jr. Professor of normal Sciences, Middlebury collage
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