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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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