Advanced Mathematics: Concepts and Applied Principles

Developed as a subject of abstraction and logic to represent and solve real world problems, mathematics has transcended its boundaries into advanced domains of quantum mechanics, string theory, field theory, group theory and complex computation. It uses the principles of arithmetic, advanced algebra, calculus and geometry to develop mathematical formulations for such domains. Mathematical models of game theory, optimization and approximation theories have been used in the fields of economics, chemistry, biology, etc. This book discusses the advanced principles of pure and applied mathematics as well as their applications in modern sciences. While understanding the long-term perspectives of the topics, the book makes an effort in highlighting their impact as a modern tool for the growth of all scientific disciplines. This book is a complete source of reference for researchers, mathematicians and students on the present status of this important field.