Pure Mathematics for Beginners - Lesson 5 - Real Analysis - Field of Reals

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Pure Mathematics for Beginners consists of a series of lessons in Logic, Set Theory, Abstract Algebra, Number Theory, Real Analysis, Topology, Complex Analysis, and Linear Algebra.

Lesson 5 from this series focuses on properties of the real numbers. In this lesson we will learn about ordered fields, why the rational numbers are not enough for real world applications, upper and lower bounds, the completeness property of the reals, the Archimedean property, and the density theorem.

The author recommends covering lessons 2, 3, and 4 before beginning this lesson.

Terms of use: This product may be used by the purchaser for their classroom use only. All rights reserved. No part of this publication may be reproduced, distributed, or transmitted without written permission from the author. This includes posting this product on the internet in any form, including classroom/personal websites or network drives. If you wish to share this product with colleagues, please contact the author for a discount on multiple licenses.

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