Univariate Real Analysis
History and Overview
2026-04-20 v11
Abstract
Preliminary version of a book on univariate real analysis, with 14 chapters and 2 appendices. 1. Real numbers; 2. Limits of real sequences; 3. Series; 4. Limits of real functions. 5. Elementary functions; 6. Continuous functions; 7. Derivatives; 8. Mean value theorems; 9. Taylor polynomials; 10. Real analytic functions; 11. Newton integral; 12. Riemann integral; 13. Henstock-Kurzweil integral; 14. Applications of integrals; A. Auxiliary notions and notation; B. Solutions to exercises
Keywords
Cite
@article{arxiv.2508.19405,
title = {Univariate Real Analysis},
author = {Martin Klazar},
journal= {arXiv preprint arXiv:2508.19405},
year = {2026}
}
Comments
Currently 361 pages. Started a new approach to limits of monotone sequences