Abstract
MANY books on analysis have an introductory chapter on the elementary theory of number, but it is rarely sufficiently detailed to provide a complete logical account based on a few clearly stated axioms. The present work by the eminent professor of mathematics at the University of Göttingen occupies a unique position in so far as it aims at giving a rigorous and complete deduction of the properties of numbers, up to and including complex numbers, from the five axioms of Peano, and that, too, by elementary methods, such as a student should be able to understand at an early stage of his university course.
Grundlagen der Analysis (das Rechnen mit ganzen, rationalen, irrationalen, komplexen Zahlen): Erganzung zu den Lehrbüchern der Differential- und Integralrechnung.
Von Prof. Edmund Landau. Pp. xiv + 134. (Leipzig: Akademische Verlagsgesellschaft m.b.H., 1930.) 9.80 gold marks.
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[Book Reviews]. Nature 127, 624 (1931). https://doi.org/10.1038/127624a0
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DOI: https://doi.org/10.1038/127624a0