Basic Analysis II: Introduction to Real Analysis, Volume II

Basic Analysis II: Introduction to Real Analysis, Volume II book cover

Basic Analysis II: Introduction to Real Analysis, Volume II

Author(s): Jiri Lebl (Author)

  • Publisher: CreateSpace Independent Publishing Platform
  • Publication Date: May 9, 2018
  • Language: English
  • Print length: 195 pages
  • ISBN-10: 1718865481
  • ISBN-13: 9781718865488

Book Description

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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