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Best map projections

Record Type:	Electronic resources : Monograph/item
Title/Author:	Best map projectionsby Elena Novikova.
Author:	Novikova, Elena.
Published:	Cham :Springer Nature Switzerland :2025.
Description:	xxiii, 197 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Map projection.
Online resource:	https://doi.org/10.1007/978-3-031-78334-0
ISBN:	9783031783340$q(electronic bk.)

Best map projections
Novikova, Elena.

Best map projections[electronic resource] /by Elena Novikova. - Cham :Springer Nature Switzerland :2025. - xxiii, 197 p. :ill. (chiefly color), digital ;24 cm.

Introduction -- Map projections and their distortionsMap projections and their distortions -- The problem of finding the best projections -- Ideal projection according to the Airy criterion -- The best projection from a set of close-to-equal-area projections -- Airy projection -- Gauss-Kruger projection -- Arithmetic mean principle for the Gauss-Kruger projection -- Ideal and best projections according to Chebyshev's criterion -- Appendixes.

This book presents the most condensed information about the theory of distortion theory developed by N.A. Tissot. It considers some of the issues of this theory to finding the best projections. Various criteria for ideal projections are analyzed. In finding an ideal projection using the Airy criterion for an arbitrary mapping region is solved by the variational method using the Euler-Ostrogradsky system of equations under natural boundary conditions. The same method is applied to a set of projections in which the sum of the extremal scale factors is equal to 2. It is shown that for these projections, the area distortions are quantities of the second order of smallness, while the linear distortions are quantities of the first order of smallness. The problem of finding the best projections using the Chebyshev criterion has been studied. Airy, Postel, Gauss-Kruger, and Markov projections are considered in detail.

ISBN: 9783031783340$q(electronic bk.)

Standard No.: 10.1007/978-3-031-78334-0doiSubjects--Topical Terms:

257697
Map projection.

LC Class. No.: GA110

Dewey Class. No.: 526.8

Best map projections
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505 0 $a Introduction -- Map projections and their distortionsMap projections and their distortions -- The problem of finding the best projections -- Ideal projection according to the Airy criterion -- The best projection from a set of close-to-equal-area projections -- Airy projection -- Gauss-Kruger projection -- Arithmetic mean principle for the Gauss-Kruger projection -- Ideal and best projections according to Chebyshev's criterion -- Appendixes.
520 $a This book presents the most condensed information about the theory of distortion theory developed by N.A. Tissot. It considers some of the issues of this theory to finding the best projections. Various criteria for ideal projections are analyzed. In finding an ideal projection using the Airy criterion for an arbitrary mapping region is solved by the variational method using the Euler-Ostrogradsky system of equations under natural boundary conditions. The same method is applied to a set of projections in which the sum of the extremal scale factors is equal to 2. It is shown that for these projections, the area distortions are quantities of the second order of smallness, while the linear distortions are quantities of the first order of smallness. The problem of finding the best projections using the Chebyshev criterion has been studied. Airy, Postel, Gauss-Kruger, and Markov projections are considered in detail.
650 0 $a Map projection. $3 257697
650 1 4 $a Cartography. $3 242396
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