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A Course in Real Analysis

This is a course in real analysis, presented in a Marimo notebook!

The prerequisites are calculus and discrete math.

It covers the axioms of the real numbers, properties and topology, sequences and series of real numbers, sequences and series of real functions, limits, continuity, differentiation, integration, and the Fundamental Theorem of Calculus.

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Reference Page

You can find the reference page at ACIRA Reference Page.

Unit 1: The Axioms of the Real Numbers

Chapter 1: The Algebraic Axioms

Chapter 2: Order

Chapter 3: Ordered Fields, Completeness, and Real Numbers

Unit 2: $\Bbb R$-valued Sequences and Series

Chapter 4: Sequences

Chapter 3: Series

Contributing

I welcome feedback about typos or mistakes.

If anyone wants to contribute, I'm also open to others writing portions of the text collaboratively. Anyone can send a pull request.

Feel free to open a discussion to discuss any details.

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