Can I read Irrational Numbers (Carus Mathematical Monographs, Series Number 11) on EtoBox?

Irrational Numbers (Carus Mathematical Monographs, Series Number 11) by Ivan Morton Niven is a nonfiction available to read on EtoBox.

What is Irrational Numbers (Carus Mathematical Monographs, Series Number 11) about?

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.

Who reads Irrational Numbers (Carus Mathematical Monographs, Series Number 11)?

Author

Ivan Morton Niven

Publisher

The Mathematical Association of America

Published

2006

Language

EN

ISBN

9780883850381

Category

nonfiction

Subjects

Mathematics, Science, Number Theory