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Elements of the Theory of Infinite Processes. By L. L. Smail. Pp. viii, 340. 17s. 6d. 1923. (McGraw-Hill, New York and London.)

Published online by Cambridge University Press:  03 November 2016

E. H. N.
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Type
Reviews
Information
The Mathematical Gazette , Volume 12 , Issue 172 , October 1924 , pp. 224 - 225
Copyright
Copyright © Mathematical Association 1924

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References

page 224 note * If Ei and E2 are the classes of real numbers separated by a rational number k, the Ai and At of the argument are the classes of rational numbers less than and greater than k, and k does not belong to either class. The pretended deduction that there cannot be such a number is therefore invalid. It is easy to correct the proof, but that is hardly the reader’s business.

page 224 note † Unfortunately for the beginner a misprint refers him not to any proof at all but to the definition of conditional convergence 1