Summary:

In this monograph, Ivan Niven, provides a masterful exposition of
some central results on irrational, transcendental, and normal
numbers. He gives a complete treatment by elementary methods of the
irrationality of the exponential, logarithmic, and trigonometric
functions with rational arguments. The approximation of irrational
numbers by rationals, up to such results as the best possible
approximation of Hurwitz, is also given with elementary technique.
The last third of the monograph treats normal and transcendental
numbers, including the transcendence of and its generalization in the
Lindemann theorem, and the Gelfond-Schneider theorem. Most of the
material in the first two-thirds of the book presupposes only
calculus and beginning number theory. The results needed from
analysis and algebra are central, and well-known theorems, and
complete references to standard works are given to help the beginner.
The chapters are for the most part independent. There is a set if
bites at the end of each chapter citing

Classification:

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Dewey Class: 511 -- General principles

Book Details:

Physical Description: 228 pages
Edition Info: Paperback; 2005-08-18

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Libraries this book has an entry in:

•	Louisiana State University--Shreveport (last modified on 10/05/2011)