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(Ebook) Irrational Numbers 1st Edition by Ivan Niven ISBN 9781614440116 1614440115

  • SKU: EBN-7438964
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Authors:Ivan Niven
Pages:176 pages.
Year:2006
Editon:6th printing
Publisher:The Mathematical Association of America
Language:english
File Size:6.16 MB
Format:pdf
ISBNS:9781614440116, 9780883850381, 9780883850114, 1614440115, 0883850389, 0883850117
Categories: Ebooks

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(Ebook) Irrational Numbers 1st Edition by Ivan Niven ISBN 9781614440116 1614440115

(Ebook) Irrational Numbers 1st Edition by Ivan Niven - Ebook PDF Instant Download/Delivery: 9781614440116 ,1614440115
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ISBN 10: 1614440115
ISBN 13: 9781614440116
Author: Ivan Niven

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
 

(Ebook) Irrational Numbers 1st Edition Table of contents:

  1. Rationals and Irrationals

  2. Simple Irrationalities

  3. Certain Algebraic Numbers

  4. The Approximation of Irrationals by Rationals

  5. Continued Fractions

  6. Further Diophantine Approximations

  7. Algebraic and Transcendental Numbers

  8. Normal Numbers

  9. The Generalized Lindemann Theorem

  10. The Gelfond‑Schneider Theorem

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Tags: Ivan Niven, Irrational Numbers

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