MAU23203 - Analysis in Several Real Variables Dr. David R. Wilkins Slide Presentations - Michaelmas Term 2021

Slide Presentations incorporating Course Notes

Section 1: The Real Number System

Section 2: Schwarz's Inequality and some Related Inequalities

Section 3: Convergence in Euclidean Spaces

Section 4: Open and Closed Sets in Euclidean Spaces

Section 5: Continuous Functions of Several Real Variables

Section 6: Limits of Functions of Several Real Variables

Section 7: Fundamental Principles of Single Variable Calculus

Section 8: Differentiation of Functions of Several Real Variables

Section 9: The Inverse and Implicit Function Theorems

Section 10: Second Order Partial Derivatives and the Hessian Matrix

Slide Presentations incorporating Disquisitions

Disquisition V: Examples relating to Limits and Continuity

Disquisition IX: Multiple Integrals

Disquisition XIII: An Alternative Proof of the Multivariable Chain Rule

Ephemeral Slide Presentations subsequently to be removed

Slides for a Video Presentation on the Multivariable Chain Rule

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Dr. David R. Wilkins, School of Mathematics, Trinity College Dublin.