z 0 - -10 -5 - -10 0 -5 x 0 5 5 y 10 10 Vector Calculus Michael Corral Vector Calculus Michael Corral Schoolcraft College About the author: Michael Corral is an Adjunct Faculty member of the Department of Mathematics at Schoolcraft College. He received a . in Mathematics from the University of California at Berkeley, and received an . in Mathematics and an . in Industrial & Operations Engineering from the University of Michigan. This text was typeset in LATEX 2ε with the KOMA-Script bundle, using the GNU Emacs text editor on a Fedora Linux system. The graphics were created using MetaPost, PGF, and Gnuplot. Copyright c 2008 Michael Corral. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled “GNU Free Documentation License”. Preface This book covers calculus in two and three variables. It is suitable for a one-semester course, normally known as “Vector Calculus”, “Multivariable Calculus”, or simply “Calculus III”. The prerequisites are the standard courses in single-variable calculus (. Calculus I and II). I have tried to be somewhat rigorous about proving results. But while it is impor- tant for students to see full-blown proofs - since that is how mathematics works - too much rigor and emphasis on proofs can impede the flow of learning for the vast ma- jority of the audience at this level. If I were to rate the level of rigor in the book on a scale of 1 to 10, with 1 pletely informal and 10 pletely rigorous, I would rate it as a 5. There are 420 exercises throughout the text, which in my experience are more than enough for a semester course in this subject. There are exercises at the e
Corral M. Vector Calculus (2008)(222s)_MCet_ 来自淘豆网m.daumloan.com转载请标明出处.
