Introduction to Real Analysis: An Educational Approach

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Topics covered are: Basic set theory. The real numbers and their basic properties. Sequences: convergence, subsequences, Cauchy sequences. Open, closed, and compact sets of real numbers. Continuous functions and uniform continuity.

The Riemann integral. Differentiation and Mean Value theorems.


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The Fundamental Theorem of Calculus. Power series and Taylor series. Convergence of sequences and series of functions.

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Open All. Course Learning Outcomes On successful completion of this course, students will be able to 1. Required Resources None. There are many books on real analysis available in the library.

Amongst those, the following is a selection of some that are very compatible with the level and objectives of this course: 1. Fitzpatrick: "Real Analysis"; 3. Gaughan: "Introduction to Analysis"; 4. Assignments, tutorial exercises, handouts, and course announcements will be posted on MyUni.

Introduction to Real Analysis(imelhouworl.tk-II)

Tutorials supplement the lectures by providing exercises and example problems to enhance the understanding obtained through lectures. A sequence of written assignments provides assessment opportunities for students to gauge their progress and understanding. Lecture Outline Basic logic and set theory. The real numbers and their defining properties. Sequences: convergence, properties of limits, subsequences.

Introduction to Real Analysis, Wm C Bauldry

Download ZIP. Sign in Sign up. Launching GitHub Desktop Go back. Launching Xcode Launching Visual Studio Latest commit fa2 Aug 5, Awesome Math A curated list of awesome mathematics resources. Cain, J.

Introduction to Real Analysis: An Educational Approach

Oggier Algebraic Number Theory - J. Kolesnikov, E.

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Burris, H. Malik, John N. Mordeson, M. Judson, Robert A. Keller, William T. Trotter Notes on Combinatorics - Peter J. Petkovsek, H. In addition, an extensive bibliography provides additional resources on the topic. Introduction to Real Analysis: An Educational Approach is an ideal book for upper- undergraduate and graduate-level real analysis courses in the areas of mathematics and education. It is also a valuable reference for educators in the field of applied mathematics.

Introduction to Real Analysis: An Educational Approach / Edition 1

Bauldry has published numerous articles in his areas of interest, which include the pedagogical uses of computer algebra systems and cryptography. Read an Excerpt Click to read or download. See All Customer Reviews. Shop Textbooks. Add to Wishlist. USD Sign in to Purchase Instantly. Temporarily Out of Stock Online Please check back later for updated availability.