Irrational Numbers

Irrational Numbers
Author :
Publisher : American Mathematical Soc.
Total Pages : 177
Release :
ISBN-10 : 9781614440116
ISBN-13 : 1614440115
Rating : 4/5 (115 Downloads)

Book Synopsis Irrational Numbers by : Ivan Niven

Download or read book Irrational Numbers written by Ivan Niven and published by American Mathematical Soc.. This book was released on 1985-12-31 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Irrational Numbers
Language: en
Pages: 177
Authors: Ivan Niven
Categories: Mathematics
Type: BOOK - Published: 1985-12-31 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

In this monograph, Ivan Niven provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete tre
The Irrationals
Language: en
Pages: 311
Authors: Julian Havil
Categories: Mathematics
Type: BOOK - Published: 2012-07-22 - Publisher: Princeton University Press

DOWNLOAD EBOOK

The first popular history of irrational numbers and their discoverers, from ancient Greece to the twenty-first century The ancient Greeks discovered them, but i
Numbers
Language: en
Pages: 140
Authors: Ivan Morton Niven
Categories:
Type: BOOK - Published: 1979 - Publisher:

DOWNLOAD EBOOK

Prealgebra
Language: en
Pages: 1138
Authors: Lynn Marecek
Categories: Algebra
Type: BOOK - Published: 2015-09-25 - Publisher:

DOWNLOAD EBOOK

"Prealgebra is designed to meet scope and sequence requirements for a one-semester prealgebra course. The text introduces the fundamental concepts of algebra wh
Proofs from THE BOOK
Language: en
Pages: 194
Authors: Martin Aigner
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "per