Table Of ContentTHE ENCHANTING ARITHMETIC
PREFACE
Mathematics is an important subject without which we cannot imagine the
modern world of science and technology. In mathematics, arithmetic is the back
bone of mathematical sciences. Here we deal with some basic concepts of
arithmetic and their applications which you will also feel enchanting and make
more interesting to read a lot. The approach could be different than normal.
This book is written in a simple language with examples, and definitions for easy
understanding of the readers from various backgrounds. I sincerely hope this
book will provide a better understanding of concepts in arithmetic. Any
suggestions and constructive criticism towards this book can be sent to
sri_chemist@yahoo.co.in and will be gratefully acknowledged.
Author
Copyright@2011
All rights reserved.
No part of this book may be reproduced in any form or by any electronic or mechanical means
including information storage and retrieval systems, without permission in writing from the
Publisher. The only exception is by a reviewer, who may quote short excerpts in a review.
AB Publishing House, Div: Sydney, Australia
http://www.abpublishinghouse.com
http://www.abpublishinghouse.com/store
First printing 2011
S.No. Contents
Page no.
1. Basic arithmetic 9
2. Addition 21
3. Subtraction 26
4. Multiplication 28
5. Powers 44
6. Division 64
7. Palindrome numbers 81
8. Arithmetic of zero and infinity 86
9. Sequences and series 92
10. Polygonal numbers 98
11. Magic mathematics 120
Annexure 1. Glossary
Annexure 2. Comparison of mathematical properties 134
142
Subject index
A Hendecagonal number
Amicable number Heptadecagonal number
Arithmetic operations Heptagonal hexagon number
Arithmetic progression Heptagonal number
Armstrong number Heptagonal pentagon number
Ascending number see Climbing number Heptagonal pyramidal number
Automorphic number Heptagonal square number
B Heptagonal triangular number
Binary system Hexadecagonal number
BODMAS Hexadecimal number system
Branches of arithmetic Hexagonal number
C Hexagonal pentagon number
Captive zero Hexagonal pyramidal number
Cardinal number Hexagonal square number
Chenshuwen’s sequence Hexagonal triangular number
Climbing number Highest common factor
Complementary number I
Composite number Icosagonal number
Consecutive number Icosidigonal number
Coprime number Icosihenagonal number
Cube number Icosiheptagonal number
Cullen number Icosihexagonal number
Cyclic number Icosinonagonal number
D Icosioctagonal number
Decagonal number Icosipentagonal number
Decenary system Icositetragonal number
Demlo number Icositrigonal number
Descending number Imperfect division
Digital root (or) Digit sum Infinite imperfect division
Divisibility tests Infinity
Dodecagonal number K
Dozenal system Kaprekar number
E L
Eratosthenes sieve Leading zero
Even number Least common multiplier
F M
Face value Magic square
Fibonacci series Magic star
Finite imperfect division Magic triangle
Following number see Consecutive number Magic square border puzzle
Fractions Mersenne number
G Mirror image number see Reflux number
Geometric progression Mods
H N
Harmonic progression Natural number
Harshad number Negative number
Non recurring infinite division Pyramidal number
Nonadecagonal number Pythagorean triples
Nonagonal heptagon number R
Nonagonal hexagon number Rational number
Nonagonal number Reflux number
Nonagonal octagon number Repunit number
Nonagonal pentagon number Ratio
Nonagonal square number Rachnisky sequence
Nonagonal triangular number Ramanujan number
Number digit see Digital root Remainder theorem
Numbering system Rectangular number
O Radix
Oblong number see Pronic number Real number see Natural number
Octadecagonal number Recurring infinite division
Octagonal heptagon number S
Octagonal hexagon number Seesaw number
Octagonal number Square number
Octagonal pentagon number Square triangular number
Octagonal square number Square pyramidal triangular number
Octagonal triangular number Square pyramidal square number
Octahedral number Scientific notation number
Octal number system Square pyramidal number
Odd number Square pyramidal tetrahedral number
Ordinal number T
P Ternary number system
Probable number Tetradecagonal number
Pronic number Tetrahedral number
Proportionality Tetrahedral square number
Place value Tetrahedral triangular number
Prime number Trailing zero
Palindromic prime number Transpose number
Pascal series Triacontagonal number
Pentadecagonal number Triangular number
Pentagonal number Triangular pyramidal number
Pentagonal number Tridecagonal number
Pentagonal square number Twin prime number
Pentagonal triangular number W
Percentages Whole number
Perfect division Z
Perfect number Zero
