Mercator's projection, logarithm and seafaring

Borovik, Alexandre and Khudaverdyan, Hovhannes (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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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 2010, the AMS's Mathematics Subject Classification > 01 History and biography MSC 2010, the AMS's Mathematics Subject Classification > 30 Functions of a complex variable
Depositing User:	Prof Alexandre Borovik
Date Deposited:	15 Aug 2010
Last Modified:	20 Oct 2017 14:12
URI:	https://eprints.maths.manchester.ac.uk/id/eprint/1508

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