(Ebook) Basic Analysis II: Introduction to Real Analysis, Volume II by Jirí Lebl ISBN 9781718865488, 1718865481

(Ebook) Basic Analysis II: Introduction to Real Analysis, Volume II by Jirí Lebl ISBN 9781718865488, 1718865481

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 Derivatives9. One Dimensional Integrals in Several Variables10. Multivariable Integral11. Functions as Limits