IISCPRESS-WSPC PUBLICATION – serie

"… this could make an ideal end-of-year prize for a high-school student who is fascinated by all aspects of number. The subsections provide ideas and opportunities for mathematical exploration. This book might also be deemed a suitable resource for first-year undergraduates in that, via independent study, it would allow such students to broaden their knowledge of various number-theoretic ideas. I would recommend it for the purposes given above."The Mathematical GazetteThis book is more than a mathematics textbook. It discusses various kinds of numbers and curious interconnections between them. Without getting into hardcore and difficult mathematical technicalities, the book lucidly introduces all kinds of numbers that mathematicians have created. Interesting anecdotes involving great mathematicians and their marvelous creations are included. The reader will get a glimpse of the thought process behind the invention of new mathematics. Starting from natural numbers, the book discusses integers, real numbers, imaginary and complex numbers and some special numbers like quaternions, dual numbers and p-adic numbers.Real numbers include rational, irrational and transcendental numbers. Iterations on real numbers are shown to throw up some unexpected behavior, which has given rise to the new science of "Chaos". Special numbers like e, pi, golden ratio, Euler's constant, Gauss's constant, amongst others, are discussed in great detail.The origin of imaginary numbers and the use of complex numbers constitute the next topic. It is shown why modern mathematics cannot even be imagined without imaginary numbers. Iterations on complex numbers are shown to generate a new mathematical object called 'Fractal', which is ubiquitous in nature. Finally, some very special numbers, not mentioned in the usual textbooks, and their applications, are introduced at an elementary level.The level of mathematics discussed in this book is easily accessible to young adults interested in mathematics, high school students, and adults having some interest in basic mathematics. The book concentrates more on the story than on rigorous mathematics.

The year 2008 marks the 150th birth anniversary of Sir Jagadish Chandra Bose who, at a relatively young age, established himself among the ranks of European scientists during the heyday of colonial rule in India. He was one of those great Indian scientists who helped to introduce western science into India. A physicist, a plant electrophysiologist and one of the first few biophysicists in the world, Sir J C Bose was easily 60 years ahead of his time and much of his research that was ignored during his lifetime is now entering the mainstream. As the inventor of millimeter waves and their generation, transmission and reception, and the first to make a solid state diode, he was the first scientist who convincingly demonstrated that plants possess a nervous system of their own and “feel” pain. J C Bose later spent his life's savings to set up the Institute which carries his name in Calcutta and Darjeeling.This book covers Bose's life in colonial India, including the general patriotic environment that pervaded at the time and how he became one of the flag bearers of the Bengal Renaissance. It also examines the scientific achievements of this polymath and his contributions to physics and plant electrophysiology, while highlighting his philosophy of life.

This invaluable book is an autobiographical account of doing scientific research in India. It provides an insight to the perseverance of a scientist from a developing country. His relentless pursuit of excellence in chemistry for more than half a century is a remarkable source of inspiration to young scientists facing modern-day challenges.