Mathematical Analysis with Topological Examples
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Home > Mathematics and Science books > Mathematics > Calculus and mathematical analysis > Real analysis, real variables > Mathematical Analysis with Topological Examples: A Narrative Approach for Undergraduates
Mathematical Analysis with Topological Examples: A Narrative Approach for Undergraduates

Mathematical Analysis with Topological Examples: A Narrative Approach for Undergraduates


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About the Book

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.


Table of Contents:

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



About the Author :

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.


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Product Details
  • ISBN-13: 9781040605738
  • Publisher: Taylor & Francis Ltd
  • Publisher Imprint: Chapman and Hall
  • Language: English
  • ISBN-10: 1040605737
  • Publisher Date: 06 Oct 2026
  • Binding: Digital (delivered electronically)
  • Sub Title: A Narrative Approach for Undergraduates


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Mathematical Analysis with Topological Examples: A Narrative Approach for Undergraduates
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