Overview

Version 2.6. (Newer edition 6 available, ISBN 979-8851945977) The second volume of Basic Analysis, a first course in mathematical analysis. This volume is the second semester material for a year-long sequence for advanced undergraduates or masters level students. This volume started with notes for Math 522 at University of Wisconsin-Madison, and then was heavily revised and modified for teaching Math 4153/5053 at Oklahoma State University. It covers differential calculus in several variables, line integrals, multivariable Riemann integral including a basic case of Green's Theorem, and topics on power series, Arzelà-Ascoli, Stone-Weierstrass, and Fourier Series. See http: //www.jirka.org/ra/Table of Contents (of this volume II): 8. Several Variables and Partial Derivatives 9. One Dimensional Integrals in Several Variables 10. Multivariable Integral 11. Functions as Limits

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9781718865488

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Jiri Lebl is an Associate Professor in the Department of Mathematics at the Oklahoma State University. Jiri has taught mathematics at all levels for well over a decade at several other institutions: San Diego State University, University of California at San Diego, University of Illinois at Urbana-Champaign, and University of Wisconsin-Madison. He has published over 30 peer reviewed scientific papers, mostly focused on complex analysis in several variables. Before jumping fully into mathematics, he was involved in programming and free software, in particular, the GNOME desktop project, and he wrote several programming tutorials.

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