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By Abraham Robinson

Considered via many to be Abraham Robinson's magnum opus, this e-book deals a proof of the improvement and functions of non-standard research by means of the mathematician who based the topic. Non-standard research grew out of Robinson's try and get to the bottom of the contradictions posed by means of infinitesimals inside of calculus. He brought this new topic in a seminar at Princeton in 1960, and it continues to be as arguable at the present time because it was once then. This paperback reprint of the 1974 revised variation is necessary studying for somebody attracted to non-standard research. It treats in wealthy aspect many components of software, together with topology, features of a true variable, features of a posh variable, and normed linear areas, including difficulties of boundary layer circulate of viscous fluids and rederivations of Saint-Venant's speculation in regards to the distribution of stresses in an elastic body.

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