Mathematical Analysis with Topological Examples

A Narrative Approach for Undergraduates
1. Auflage 2026
ISBN: 978-1-041-10352-3
Verlag: Taylor & Francis Ltd

Buch, Englisch, 264 Seiten, Format (B × H): 178 mm x 254 mm

Mathematical Analysis with Topological Examples: A Narrative Approach for Undergraduates offers an introduction to elementary analysis for undergraduates studying mathematics or any related quantitative science. This book takes a unique approach, adopting a narrative framework to guide students through the material as though it were an unfolding story. Alongside this, the book introduces a vast array of examples from the world of topology to illustrate the core principles of analysis in an engaging and accessible way.

This book is suitable for undergraduate students who are familiar with elementary calculus. It can serve as an introduction to elementary analysis and a supplementary resource for a course in topology.

Features

- Unique narrative structure to engage students

- Numerous examples from topology

- Replete with exercises and solutions.

Zielgruppe

Undergraduate Core

Autoren/Hrsg.

Zabeti, Omid

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis
• Mathematik | Informatik Mathematik Topologie

Inhaltsverzeichnis

1. A different story about mathematics 2. A brief story about topology 3. The reals, almost everything and everywhere 4. Metric Spaces: The Managers of Topological Territories 5. Sequences, the ambassadors of the archipelago of convergences 6. Continuity, it knows all of the applications 7. Compactness, a magic sense 8. Connectedness, a fruitful bridge

Über Autor(innen)

Omid Zabeti is an Associate Professor of Mathematics specializing in functional analysis. He received his PhD from Ferdowsi University of Mashhad in 2012 and has been a faculty member at the University of Sistan and Baluchestan since then. His research interests include Banach lattices, locally solid vector lattices, topology, and operators. He believes that mathematics underpins all sciences and plays a vital role in everyday life. In this book, he combines mathematical analysis with a narrative style and a topological perspective to illustrate the beauty and importance of mathematics in the modern world.