₹300
The purpose of penning this book is to create interest for mathematics among the students, especially those studying in schools whether in Class I or in Class XII. The teachers can use it as a reference book and before teaching any topic, try to put some entertaining math problem or puzzle, the children will be attracted to the subject in a natural way. The title ‘The Joy of Recreational Mathematics’ is employed to cover those mathematical activities like puzzles and games which are not included in the text books. These activities are meant to generate curiosity and amusement so that the children find attraction towards the subject.
Young parents can play with their school-going children to amuse them by asking 'think of a number' thereby helping them to appreciate the wonder of numbers or a teacher telling children how to remember tables from 2 to 99 and helping them doing large calculations within seconds. The book will certainly act as a playing arena.
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| Contents | |
| Acknowledgements —Pgs. 7 | • The Ten Largest Known Prime Numbers |
| Preface —Pgs. 9 | • Palindrome Prime Numbers |
| 1. Number Tricks for the Kids (Think of a Number?) —Pgs. 15 | • Prime Twins |
| • Think of a Number? | • 2nd Millennium Prime Numbers |
| 2. Mental Mathematics —Pgs. 20 | • Mersenne Prime |
| • Interaction with children | • Prime Number Patterns |
| • Table of numbers ending in 1 | 6. Number Patterns —Pgs. 103 |
| • Table of numbers ending in 2 | 7. Triangular Numbers —Pgs. 111 |
| • Table of numbers ending in 3 | • The First 100 Triangular Numbers |
| • Table of numbers ending in 4 | • Properties of Triangular Numbers |
| • Table of numbers ending in 5 | • Some Other Representations of Triangular Number |
| • Table of numbers ending in 6 | 8. How to make Your own Magic Squares? —Pgs. 117 |
| • Table of numbers ending in 7 | • Making a 3rd Order Magic Square |
| • Table of numbers ending in 8 | • Some Other Properties of Magic Squares (M.S.) |
| • Table of numbers ending in 9 | • Magic Square of 4th Order (i.e. 4 × 4) |
| • Addition and Subtraction | • Magic Square of Odd Order (i.e. 5th, 7th, ....n × n) |
| • Multiplication and Division | • Magic Squares of the Even Order (i.e. 6th, 8th, etc.) |
| • Multiplication Rules | 9. Geometry and Chinese Puzzles —Pgs. 127 |
| • General Vedic Method for Multiplication | 10. Mysteries of Geometry —Pgs. 135 |
| • Finding the Square of a Number | • Refreshing Your Knowledge of Geometry Through a Quiz! |
| • Finding Square of a Number Ending in 5 | 11. Pythagorean Triples —Pgs. 138 |
| • Finding Square Root of a Number | • McMahon’s Discovery |
| • Finding Cube Root of a Number | • Pythagorean Quadruplets |
| • Degrees of Numbers from 1 to 100 | • Beyond Pythagorean Quadruple |
| 3. Rules of Divisibility —Pgs. 42 | • Some More ‘Sum of Cubes’ |
| • Divisibility Rules of numbers from 2 to 19 | 12. Mixed Bag of Power Game! —Pgs. 143 |
| • Rules for Divisibility for Prime Numbers below 50 | • Power of Powers |
| • Divisibility of Numbers between 100 and 500 by Prime Numbers between 7 and 47 | 13. Fibonacci Sequence —Pgs. 145 |
| 4. Every Number is Interesting —Pgs. 47 | • The First 50 Fibonacci Numbers |
| • Numbers that can be expressed as the sum or difference of two or more squares in two or more ways | 14. Mathematics and IQ —Pgs. 148 |
| • Numbers as sum of three or more squares | • Type 1: Variation in number patterns |
| • Any number can be Split into Difference of Two or More Squares | • Type 2: Pattern Involving Tables and Prime Numbers |
| • Some Amazing Difference of Two Squares | • Type 3: Pattern Involving Powers of ‘n’ |
| • Numbers Expressing as a Sum of Two Cubes in Two Ways | • Type 4: Numbers Involving Multi-series |
| • Some more interesting numbers | • Recapitulation |
| • Some Interesting Results Regarding All the Digits 1 to 9 | 15. The Enigmatic Pi —Pgs. 157 |
| • Interesting Sums | • What is the Use of p |
| • 100 Represented in the Form of Mixed Fraction using All the Nine Digits! | 16. Numerical Sequences —Pgs. 164 |
| • Arranging All the Digits from 1 to 9 Used Once only to Get 100! | • Finding the nth term |
| • Reverse Consecutive Digits | • Arithmetic Sequence or Series |
| • Amazing Products | • Geometric Series |
| • Cyclic Number | 17. Use of Algebra —Pgs. 172 |
| • Interesting Fractions | • Numbers and Algebra |
| • Kaprekar and other Numbers | • Formulae using the Mathematical Induction |
| • Amicable Numbers | 18. Pascal’s Triangle —Pgs. 180 |
| • Factorials | • Pascal’s Triangle and Probability |
| • Product of Factorials! | • Pascal’s Triangle and Binomial Expansion |
| • Square Numbers after Decomposition | 19. International Awards in Mathematics —Pgs. 187 |
| • Same 3 Digits Before and After (> 2000) | 20. Number Puzzle —Pgs. 190 |
| • Same Number in Different Forms! | 21. Maths Quiz —Pgs. 193 |
| • Blocks of Numbers | 22. Cross Number Puzzles —Pgs. 197 |
| 5. Prime Numbers —Pgs. 98 | • Across |
| • The First 100 Prime Numbers | • Down |
A teacher by profession and a sports lover by hobby, Vijaya Khandurie has a mission to enthuse and inculcate interest in sports among the students and teachers by way of writing and interaction. A keen quiz and crossword addict, he has written innumerable articles and many books to popularise sports and science, besides publishing a bi-monthly Word Games & Puzzles.
Vijaya Khandurie is writing books and articles on various topics for the students in particular and the masses in general for inculcating interest in science and mathematics. An avid crossword addict, he has written more than twenty books and hundreds of articles in various newspapers and magazines, besides publishing a bi-monthly by the name Word Games & Puzzles.
E-mail : khandurie@gmail.com
