Recommended School Credit: One full year of high school credit equal to or greater than an AP class or one semester of college credit. Introduction to Real Analysis provides advanced students with the theoretical foundations underlying the topics taught in a typical single variable Calculus course.
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Introduction to Real Analysis will cover algebraic and order properties of the real numbers, the least upper bound axiom, limits, continuity, differentiation, the Riemann integral, sequences, and series. Definitions and proofs will be stressed throughout the course.
Online course materials supplement the required textbook. Each student is assigned to a CTY instructor to help them during their course. Students can contact their instructor via email with any questions or concerns at any time.
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MATH 4200 - Introduction to Real Analysis I
Anderen bekeken ook. John Stillwell The Real Numbers 46, Sterling K. William C. Bauldry Introduction to Real Analysis , Murray H. Protter Basic Elements of Real Analysis 67, Bhat An Introduction to Real Analysis 38, Leonard F.
Introduction to Real Analysis | American Inst. of Mathematics
Richardson Measure and Integration 96, Bekijk de hele lijst. Vaak samen gekocht. This book is a one semester course in basic analysis. A prerequisite for this course is a basic proof course, using for example [H], [F], or [DW]. It should be possible to use the book for both a basic course for students who do not necessarily wish to go to graduate school such as UIUC , but also as a more advanced one-semester course that also covers topics such as metric spaces such as UW It should also be possible to run a faster course without metric spaces covering all sections of chapters 0 through 6.
Table of contents:
The approximate number of lectures given in the section notes through chapter 6 are a very rough estimate and were designed for the slower course. The structure of the beginning of the book somewhat follows the standard syllabus of UIUC Math and therefore has some similarities with [BS]. A major difference is that we define the Riemann integral using Darboux sums and not tagged partitions. The Darboux approach is far more appropriate for a course of this level.
A Concrete Introduction to Real Analysis
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