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This book "Mathematical Inventions" is unique in its composition. The subject matter presented here relates to natural numbers including Zero. To speak honestly, every invention in this book is originated by the Author. Definitely, arouses the curiosity amongst the number theorists and opens up avenues for recreational mathematics.
i. Dealing with invention 1, 2 and 3 the author explained clearly, how to identify the numbers, divisible by 7, 11 and 13, without actual division. Surprisingly, he noticed in every 1001 numbers, there exacts only one number that is divisible by 7, 11 and 13 exactly. So numbers 1001, 2002, 3003……. etc divisible by 7, 11 and 13 exactly.
ii. Dealing with invention 4 numbers divisible by 17, author noticed that pattern of digits is same for all numbers which are multiples of 17.
iii. Dealing with invention 5, there exists infinite numbers having unit digit 1, which are divisible by 17.
iv. Dealing with invention 6, there exists infinite numbers having unit digit 1, which are divisible by 19.
v. Dealing with invention 7, in the 21st century, there are only five numbers, which are divisible by 23. Among these numbers, 2047 is very interesting number, because 2047 is the century year of India's Independence.
vi. Dealing with invention 8, which explains, the divisibility test for a number 37, by short-cut method.
vii. Dealing with invention 9, there exists infinite numbers zeros between 1 and 1, which are divisible by 7, 11 and 13 exactly.
viii. Dealing with invention 10, algorithm for checking a Prime number.
ix. Dealing with invention 11 relationship between the prime divisors and recurring digits in the quotient.
x. Dealing with invention 12, generation of infinite numbers with recurring digits for a given Prime number.
Sri. K.V. Narayana is a great lover of Mathematics. His mission is to popularise mathematics among students and teachers. Currently he writes a popular mathematical critics in the leading News Papers and Journals. He authored about Ten text books for B.Sc students. He has lectured on his inventions in Schools and Colleges.
He is a good Critic in Mathematics.
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