MAU23203 - Analysis in Several Real Variables Dr. David R. Wilkins Disquisitions - Michaelmas Term 2022

Disquisitions

Disquisition I: Convergent Subsequence Examples

Disquisition II: On Open Balls and Open Sets

Disquisition III: Open and Closed Set Examples

Disquisition IV: Further Examples concerning Open and Closed Sets

Disquisition V: Examples applying Taylor's Theorem

Disquisition VI: Smooth Functions of a Single Real Variable

Disquisition VII: An Example of Differentiation from First Principles

Disquisition VIII: Examples of Differentiability and Non-Differentiability

Disquisition IX: Disquisition on an Alternative Proof of the Multivariable Chain Rule

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