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Trinity College Dublin

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

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 relating to Limits and Continuity
Disquisition VI: Examples applying Taylor's Theorem
Disquisition VII: Smooth Functions of a Single Real Variable
Disquisition VIII: A Version of Taylor's Theorem with Integral Remainder
Disquisition IX: Multiple Integrals
Disquisition X: An Example of Differentiation from First Principles
Disquisition XI: Examples of Differentiability and Non-Differentiability
Disquisition XII: An Example Concerning Second Order Partial Derivatives
Disquisition XIII: Disquisition on an Alternative Proof of the Multivariable Chain Rule

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