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In this elementary book real and complex numbers are introduced as vectors on a line and in a plane respectively. Accordingly addition and multiplication are defined geometrically. The second chapter "Conformai Mapping 1 ' analyzes primitive mappings like z' = z + a , z 1 = cz . There is also a discussion of the general idea of a conformai mapping. Chapter III gives an entirely untechnical discussion of cartographical mappings, applications of conformai mapping in aerodynamics (profiles), adoi:10.1017/s0008439500026205 fatcat:skogpco3yzfnzbb6g2k2l2rb3u