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    Basic Analysis II: Introduction to Real Analysis, Volume II

    Posted By: AvaxGenius
    Basic Analysis II: Introduction to Real Analysis, Volume II

    Basic Analysis II: Introduction to Real Analysis, Volume II by Jiri Lebl
    English | PDF | 2018 | 194 Pages | ISBN : 1718865481 | 1.33 MB

    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.
    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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