Journey from Natural Numbers to Complex Numbers

This book is for those interested in number systems, abstract algebra, and analysis. It provides an understanding of negative and fractional numbers with theoretical background and explains rationale of irrational and complex numbers in an easy to understand format.

This book covers the fundamentals, proof of theorems, examples, definitions, and concepts. It explains the theory in an easy and understandable manner and offers problems for understanding and extensions of concept are included. The book provides concepts in other fields and includes an understanding of handling of numbers by computers.

Research scholars and students working in the fields of engineering, science, and different branches of mathematics will find this book of interest, as it provides the subject in a clear and concise way.

Nita H. Shah received her PhD in Statistics from Gujarat University in 1994. From February 1990 till now she is HOD of Department of Mathematics in Gujarat University, India. She is post-doctoral visiting research fellow of University of New Brunswick, Canada. Prof. Nita's research interests include inventory modeling in supply chain, robotic modeling, mathematical modeling of infectious diseases, image processing, dynamical systems and its applications etc. Prof. Nita has published 13 monograph, 5 textbooks, and 475+ peer-reviewed research papers. Four edited books were prepared for IGI-Global and Springer with a coeditor. Her papers are published in high impact Elsevier, Inderscience and Taylor and Francis journals. She is the author of 14 books.

Vishnuprasad D. Thakkar did his Masters in Mathematics from Gujarat University, India and was recipient of the National Merit Scholarship during his post-graduation study. The study was followed by 35+ years’ experience in Information Technology in the area of application solution design, development and implementation including ERP implementation and real-time process monitoring. After retirement from industry, he completed his Ph.D. in Mathematics under guidance of Prof. (Dr.) Nita H. Shah.