Irrational Numbers
Download Irrational Numbers full books in PDF, epub, and Kindle. Read online free Irrational Numbers ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Irrational Numbers
Author | : Ivan Niven |
Publisher | : American Mathematical Soc. |
Total Pages | : 164 |
Release | : 1985-12-31 |
Genre | : Irrational numbers |
ISBN | : 1614440115 |
Download Irrational Numbers Book in PDF, Epub and Kindle
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 techniques. The last third of the monograph treats normal and transcendental numbers, including the transcendence of p and its generalization in the Lindermann 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 book is almost wholly self-contained. 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 of notes at the end of each chapter citing the main sources used by the author and suggesting further reading.
Irrational Numbers Related Books
Pages: 164
Pages: 311
Pages: 180
Pages: 356