Do you love mathematics? Are you looking for suitable material that you can use to inspire your student of mathematics? Then you must read these books…
A Primer on Divisibility:
This book tells you about the laws of divisibility (for example, a number is divisible by nine if and only if the sum of its digits is divisible by 9), and provides an easy pathway into a fascinating area of mathematics called Number Theory, a subject little known at the school level. The material covered is elementary: congruences to a modulus, Fermat’s ‘little’ theorem, Wilson’s theorem and so on.
Adventures in Problem Solving:
Problems, to quote the great mathematician David Hilbert, are the lifeblood of mathematics. Many of its greatest advances have come about as a result of grappling with hard problems. In this book, which is addressed to problem buffs, you will find many topics in ‘serious’ and ‘recreational’ mathematics developed through problems (surds, logarithms, geometry, inequalities).
A Primer on Number Sequences:
This book offers an excursion into the world of number sequences, objects that occur widely all through mathematics. For example, did you know that the digit in the tens place of a power of 3 is always even? On display are the personalities of various sequences: their individual peculiarities and quirks that distinguish them from one another. You will see how, as with human beings, sequences too have personae…
A Primer on Logarithms:
The time is soon due when logarithms as a computational tool will no longer be a part of the school curriculum. When this time comes, will logarithms as a topic vanish? Not quite; for logarithms possess a significance that has absolutely nothing to do with computation. This book essentially seeks to explain and justify this statement. It is about the many ways in which logarithms find their way into the very language of science - to describe the intensity of sound and earthquakes and the brightness of stars. Students, general readers and teachers, in fact anyone with an interest in mathematics will enjoy these books and find much to gain from them. They will be of use particularly to students who wish to appear for the Mathematical Olympiads, and to teachers who are looking for material and sources outside the regular curriculum to enliven their mathematics programme.