# A Mathematical Gift, I: The interplay between topology, functions, geometry, and algebra

### About this Title

**Kenji Ueno**, *Kyoto University, Kyoto, Japan*, **Koji Shiga**, *, Yokohama, Japan* and **Shigeyuki Morita**, *Tokyo Institute of Technology, Tokyo, Japan*. Translated by **Eiko Tyler**

Publication: Mathematical World

Publication Year
2003: Volume 19

ISBN: 978-0-8218-3282-0 (print)

DOI: http://dx.doi.org/10.1090/mawrld/019

MathSciNet review: MR2013039

MSC: Primary 57-01; Secondary 53-01

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### Table of Contents

**Invitation to topology (Viewing figures globally) **

- 1. Introduction
- 2. The Euler characteristic
- 3. Vortices created by winds and the Euler characteristic
- 4. Curvature of a surface and the Euler characteristic

**The story of dimension **

- 5. Introduction
- 6. Learning to appreciate dimension
- 7. What is dimension?
- 8. Three-dimensional figures
- 9. Physics and dimension