2010.73: Mercator's projection, logarithm and seafaring
2010.73: Alexandre Borovik and Hovhannes Khudaverdyan (2010) Mercator's projection, logarithm and seafaring. In: Mathematical Enlightenment. MCCME: Moscow Center for Continuous Mathematical Education, pp. 1-26. ISBN 978-5-94057-597-9
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Official URL: http://www.mccme.ru/free-books/matpros/mpe.pdf
Abstract
The principal mathematical content of this paper amounts to a classical proposition:
"the cylinder is the uniformising surface for the logarithm".
We believe that this interpretation of the Mercator projection as the logarithm in the complex domain should be part of every course of complex analysis -- but, unfortunately, we failed to find this simple observation in modern undergraduate textbooks.
| Item Type: | Book Section |
|---|---|
| Additional Information: | The paper is in Russian. |
| Uncontrolled Keywords: | Merkator's projection, logarithm, uniformisation, conformal geometry |
| Subjects: | MSC 2000 > 01 History and biography MSC 2000 > 30 Functions of a complex variable |
| MIMS number: | 2010.73 |
| Deposited By: | Prof Alexandre Borovik |
| Deposited On: | 15 August 2010 |
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