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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)
** Edition: **
** Author(s): ** Ivan Morton Niven
** Publisher: ** Mathematical Association of America
** Series: **
** 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.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Maxima and Minima without Calculus by Ivan Morton Niven, Lester H. Lance **

** • Download PDF Irrational Numbers by Ivan Morton Niven **

** • Download PDF Numbers: Rational & Irrational (New Mathematical Library) by Ivan Morton Niven **

** • Download PDF Diophantine Approximations by Ivan Morton Niven **

** • Download PDF Mathematics of Choice: Or, How to Count Without Counting by Ivan Morton Niven **

** • Download PDF An Introduction to the Theory of Numbers, 5E by Ivan Niven, Herbert Zuckerman, Hugh Montgomery **

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**Book Contents :- **
**Numbers: Rational & Irrational (New Mathematical Library) ** written by
** Ivan Morton Niven **
cover the following topics.
'

Introduction

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

Index

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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?