The Story of Numbers: 3 (Iiscpress-wspc Publication) - Hardcover

Asok Kumar Mallik

Hardcover

ISBN 10: 9813222921 ISBN 13: 9789813222922

Publisher: World Scientific Publishing Company, 2017

Synopsis

This 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.

About this title

Review

The book is intended to convey to high school students or other interested laypeople some new and interesting things about numbers. It s also a useful book for faculty members to have on their shelves; they may find the book a useful collection of interesting information with which to spice up a lecture. --MAA Reviews

...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 Gazette

Edition details

• Publisher: World Scientific Publishing Company
• Publication date: 2017
• Language: English
• ISBN 10: 9813222921
• ISBN 13: 9789813222922
• Binding: Hardcover
• Number of pages: 196