Overview

1, 2, 3, 4, . . ., natural numbers. 0, zero. -1, -2, -3, -4, . . ., negative integers. Rational numbers, irrational numbers, real numbers, complex numbers, . . ., and, what are numbers? The most accurate mathematical answer to the question is given in this book. The book is intended to be a supplement to textbooks on the differential and integral calculus. Those who are studying the subject should read this book. However, prerequisites are kept minimum, challenging high school students are also welcome. This emended edition is newly typeset and corrected. The free PDF file available on the publisher's website www.bwpest2018.org

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9781950217083

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Reviews

Certainly no clearer treatment of the foundations of the number system can be offered . . . one can only be thankful to the author for this fundamental piece of exposition, which is alive with his vitality and genius. ( American Mathematical Monthly)

Certainly no clearer treatment of the foundations of the number system can be offered . . . one can only be thankful to the author for this fundamental piece of exposition, which is alive with his vitality and genius. (American Mathematical Monthly)

Author Information

The author obtained his Ph.D. from the University of Berlin. He worked for the University of Berlin, the University of Göttingen, . . . . He was regarded as a leading number theorist in those days. The translator worked for the City College of New York.

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