3al01_2016.pdf

# 3al01_2016.pdf - Introduction Numbers Mathematics and...

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Introduction Numbers Mathematics and Statistics Z M d ω = Z M ω Mathematics 3A03 Real Analysis I Instructor: David Earn Lecture 1 Introduction Wednesday 7 September 2016 Instructor: David Earn Mathematics 3A03 Real Analysis I

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Introduction Numbers Course Information What is a real number? Where to find course information The course wiki: Click on Lectures Click on Course information to download pdf file. Let’s have a look now. . . Instructor: David Earn Mathematics 3A03 Real Analysis I
Introduction Numbers Course Information What is a real number? What is a “real” number? Instructor: David Earn Mathematics 3A03 Real Analysis I

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Introduction Numbers Course Information What is a real number? What is a “real” number? The “Reals” ( R ) are all the numbers that are needed to fill in the “number line” (so it has no “gaps” or “holes”). Why aren’t the rational numbers ( Q ) sufficient? How do we know that 2 is not rational? How can we prove this? Approach : “Proof by contradiction.” Instructor: David Earn Mathematics 3A03 Real Analysis I
Introduction Numbers

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