# Real Analysis

- By: Eugene Boman & Robert Rogers
- Publisher: Pennsylvania State University & SUNY Fredonia
- Source: [LibreTexts](https://math.libretexts.org/Bookshelves/Analysis/Real_Analysis_(Boman_and_Rogers))
- Licence: [CC BY-NC-SA 4.0](https://creativecommons.org/licenses/by-nc-sa/4.0/)
- Read at LibreTexts: https://math.libretexts.org/Bookshelves/Analysis/Real_Analysis_(Boman_and_Rogers)
- PDF: https://downloads.libretexts.org/api/v1/download/math-8056/pdf

The typical introductory real analysis text starts with an analysis of the real number system and uses this to develop the definition of a limit, which is then used as a foundation for the definitions encountered thereafter. While this is certainly a reasonable approach from a logical point of view, it is not how the subject evolved, nor is it necessarily the best way to introduce students to the rigorous but highly non-intuitive definitions and proofs found in analysis.