Nanobiotechnology is a new interdisciplinary science with revolutionary perspectives arising from the fact that at nanosize the behaviour and characteristics of matter change with respect to ordinary macroscopic dimensions. Nanotechnology is a new way for producing and getting materials, structures and devices with greatly improved or completely new properties and functionalities.

This book provides an introductory overview of the nanobiotechnology world along with a general technical framework about mathematical modelling through which we today study the phenomena of charge transport at the nanometer level. Although it is not a purely mathematics or physics book, it introduces the basic mathematical and physical notions that are important and necessary for theory and applications in nanobiotechnology. Therefore, it can be considered an extended formulary of basic and advanced concepts. It can be the starting point for discussions and insights and can be used for further developments in mathematical–physical modelling linked to the nanobiotechnology world. The book is dedicated to all those who follow their ideas in life and pursue their choices with determination and firmness, in a free and independent way.

chapter 1|36 pages


chapter 2|11 pages

Vector Analysis

chapter 3|11 pages

Vector Differentiation

chapter 4|12 pages

Coordinate Systems and Important Theorems

chapter 5|16 pages

Ordinary Differential Equations

chapter 6|12 pages

Fourier Series and Integrals

chapter 7|14 pages

Functions of One Complex Variable

chapter 8|10 pages

Complex Integration

chapter 9|4 pages

Partial Differential Equations

chapter 10|8 pages

Numerical Methods

chapter 11|12 pages

Quantum Basics for Nanotechnology

chapter 12|16 pages

Schrödinger Equation and Nanotechnology

chapter 13|30 pages

Mathematical Modelling for Nanotechnology

chapter 14|6 pages

Plasmonics and Modelling

chapter 15|22 pages

Nanodiffusion in Graphene