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Abstract. These are some notes on introductory real analysis. They cover the properties of the real numbers, sequences and series of real numbers, limits of functions, continuity, di erentiability, sequences and series of functions, and Riemann integration. They don’t include multi-variable calculus or contain any problem sets.

Mar 10, 2021 · ABSTRACT. This classic textbook has been used successfully by instructors and students for nearly three decades. This timely new edition offers minimal yet notable changes while retaining all the elements, presentation, and accessible exposition of previous editions.

MAA 4102 Introduction to Real Analysis 1 University of Florida, Fall 2023 Little Hall 221, MWF4 (10:40–11:30) Instructor information: Vince Vatter Office: Little Hall 412 Office hours: tba Office phone: (352) 294-2338 Email: vatter@ufl.edu Schedule Note: This will be updated as the semester progresses. Text Kosmala’s A Friendly Introduction ...

Real analysis is a discipline of mathematics that was developed to define the study of numbers and functions, as well as to investigate essential concepts such as limits and continuity. These concepts underpin calculus and its applications. Real analysis has become an incredible resource in a wide range of applications.

Real numbers -- A taste of topology -- Functions of a real variable -- Function spaces -- Multivariable calculus -- Lebesgue theory. In this introduction to undergraduate real analysis the author stresses the importance of pictures in mathematics and hard problems.