Michael Spivak's Calculus on Manifolds caught my eye because of its brevity, and its promise to reveal the fundamental theorem of calculus in arbitrary dimensions. I thought to myself "how hard could it be to read something so short?".

Thus was I lured to an endeavor that has taken far more time than I expected. Over the past couple of years I've put Spivak aside for prolonged periods, but I never put it away entirely. This book has become a constant for me- a source of meditative calm and delight. Similar souls may enjoy my notes and problem solutions:

Chapter 1: Functions on Euclidean Space

Norm And Inner Product

Subsets of Euclidean Space

Functions And Continuity

Chapter 2: Differentiation

Basic Definitions

Basic Theorems

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