Real Analysis
A Visual Approach from Field Axioms to Metric Spaces
$68.66
- Paperback
308 pages
- Release Date
2 August 2026
Summary
While many real analysis texts prioritize brevity over clarity, this volume focuses on the student’s conceptual journey.
The text begins with a rigorous construction of the Real Number System from the Field and Order Axioms, moving through the topology of R, sequences, and series. It provides a thorough treatment of continuity and differentiation, including the topological characterization of continuity. A key feature is the rigorous development of the Riemann Integral via Darboux sum…
Book Details
| ISBN-13: | 9783112254974 |
|---|---|
| ISBN-10: | 311225497X |
| Author: | Paul L. Dayao |
| Publisher: | De Gruyter |
| Imprint: | De Gruyter |
| Format: | Paperback |
| Number of Pages: | 308 |
| Release Date: | 2 August 2026 |
| Weight: | 518g |
| Dimensions: | 170mm x 240mm |
| Series: | De Gruyter Textbook |
Paul L. Dayao
Paul L. Dayao is a faculty member at the Ateneo de Manila University with over a decade of teaching experience. His research interests include Real Analysis and Functional Analysis. He has recently published works on integration theory in the Missouri Journal of Mathematical Sciences (MJMS) and Real Analysis Exchange.
In addition to his research, he is an active textbook author. He has a book forthcoming with De Gruyter, a book Introductory Course in Functional Analysis with CRC Press/Taylor & Francis, a college calculus textbook forthcoming with C&E Publishing, and a manuscript Linear Algebra: A Coordinate-Free Approach currently under review at Springer. He is also finalizing his PhD application in Measure Theory at the University of St Andrews. As a dedicated educator, he specializes in creating “teaching-led” mathematical materials that bridge the gap between intuition and rigor.
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