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Numbers: Rational & Irrational (New Mathematical Library) by Ivan Morton Niven

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About this book :-
Numbers: Rational & Irrational (New Mathematical Library) written by Ivan Morton Niven .
This book is one of a series written by professional mathematicians in order to make some important mathematical ideas interesting and understandable to a large audience of high school students and laymen. Most of the volumes in the New Mathematical Library cover topics not usually included i n the high school curriculum ; they vary in difficulty, and, even within a single book, some parts require a greater degree of concentration than others. Thus, while the reader needs little technical knowledge to understand most of these books, he will have to make an intellectual effort.
(Ivan Morton Niven)

Book Detail :-
Title: Numbers: Rational & Irrational (New Mathematical Library)
Author(s): Ivan Morton Niven
Publisher: Mathematical Association of America
Year: 1961
Pages: 145
Type: PDF
Language: English
ISBN: 0883856018,9780883856017
Country: US
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About Author :- The author Ivan Morton Niven (1915–1999) was a Canadian-American mathematician, specializing in number theory and known for his work on Waring's problem. He worked for many years as a professor at the University of Oregon, and was president of the Mathematical Association of America. He was the author of several books on mathematics. Niven was born in Vancouver. He did his undergraduate studies at the University of British Columbia and was awarded his doctorate in 1938 from the University of Chicago. He was a member of the University of Oregon faculty from 1947 to his retirement in 1981. He was president of the Mathematical Association of America (MAA) from 1983 to 1984. He died in 1999 in Eugene, Oregon.
Niven received the University of Oregon's Charles E. Johnson Award in 1981. He received the MAA Distinguished Service Award in 1989. He won a Lester R. Ford Award in 1970. In 2000, the asteroid 12513 Niven, discovered in 1998, was named after him.

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Book Contents :-
Numbers: Rational & Irrational (New Mathematical Library) written by Ivan Morton Niven cover the following topics. '
1. Natural Numbers and Integers
2. Rational Numbers
3. Real Numbers
4. Irrational Numbers
5. Trigonometric and Logarithmic Numbers
6. The Approximation of Irrationals by Rationals
7. The Existence of Transcendental Numbers
Appendix A Proof That There Are Infinitely Many Prime Numbers
Appendix B Proof of the Fundamental Theorem of Arithmetic
Appendix C Cantor's Proof of the Existence of Transcendental Numbers
Answers and Suggestions to Selected Problems


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