Elementary Real Analysis

Martin Klazar

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arXiv · 2508.19405

Elementary Real Analysis

Martin Klazar

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Abstract

Preliminary version of a book on univariate real analysis, with 14 chapters and 2 appendices. 1. Five numeric domains; 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

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Martin Klazar. 2025-08-26. Elementary Real Analysis. https://arxiv.org/abs/2508.19405

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