Abstract
INEQUALITIES, as opposed to equalities, may be said to form the basis of modern mathematical analysis. The arithmetical definition of a limit is itself based upon the idea of inequality, and in the hands of the school founded by Weierstrass and hia successors has removed from analysis the vagueness and mystery which were due to appeal to an indefinitely qualitative idea of continuity. A book on inequalities by three leading mathematical analysts is therefore an event in the realm of mathematical literature, the more so since no book on this subject has been published before.
Inequalities
By G. H. Hardy J. E. Littlewood G. Pólya. Pp. xii + 314. (Cambridge: At the University Press, 1934.) 16s. net.
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M-T., L. The Basis of Modern Mathematical Analysis. Nature 136, 315–316 (1935). https://doi.org/10.1038/136315a0
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DOI: https://doi.org/10.1038/136315a0
