UPSC Mathematics Real Analysis | Lecture 3 - Intervals Extended Set of Reals Absolute Value

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Acknowledgements & References (Booklist):

PAPER – I

1. Linear Algebra

2. Calculus

3. Analytic Geometry

4. Ordinary Differential Equations

5. Dynamics & Statics

6. Vector Analysis

PAPER – II

1. Modern Algebra

2. Real Analysis

3. Complex Analysis

4. Linear Programming

5. Partial Differential Equations

6. Numerical Analysis & Computer Programming
Computer Programming – Exademy Class Notes

7. Mechanics & Fluid Dynamics

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[VivekAnand-zr]

A lot of thanks for this great series of lectures..
It might need a little correction at 51:33 as
Given a > b doesn't suffice to say |a+b| = a+b. having a=-3, b=-5 contradicts the assumption.

[akshay.s]

1:00 Recap
1:54 Intervals: Finite and Infinite
24:02 Extended Real Number System (R*)
32:30 (R*, +) and (R*, .) are not Complete Ordered Fields
35:40 Absolute Value & properties
40:50 Triangle inequality with proof
46:00 Absolute Value Corollaries

[barkhajain]

Best quality content but still under rated so sad