LIKE NEW: The small softcover is in very good, like-new condition. The pages are clean, the binding is tight, and the covers are straight.
Product Details
From the back cover: "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 nationals, 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 π 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.
"This book is almost wholly self-contained. The results needed from analysis and algebra are central, and well-known theorems, the 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 readings."
BRIEF CONTENTS
Chapter I - Rational and Irrationals
Chapter II - Simple Irrationalities
Chapter III - Certain Algebraic Numbers
Chapter IV - The Approximation of Irrationals by Rationals
Chapter V - Continued Fractions
Chapter VI - Further Diophantine Approximations
Chapter VII - Algebraic and Transcendental Numbers
