Elementary Real Analysis

2025/08/26 by Martin Klazar · 1 voice
#math.HO

paper · pdf

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

Discussions

• Martin Klazar: Mathematical Analysis 1 https://arxiv.org/abs/2508.19405 https://arxiv.org/pdf/2508.19405 https://arxiv.org/html/2508.19405 [bsky, 0 points, 0 comments]

Related

• Mathematical Analysis Volume I
• Elements of Linear and Real Analysis
• Mathematical Analysis Volume II
• Functions of Several Variables
• Functions of a Single Variable