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Mathematics and Physics for Nanotechnology

Technical Tools and Modelling

by Paolo Di Sia

“This book by Dr. Paolo Di Sia provides an excellent combination of mathematical tools to solve physical problems in the field of nanoscience. It nicely explains the basics, more advanced function theory, ranging from complex functions to complex integration, and numerical methods, which can be used to solve the intriguing and important questions given at the end of chapters. These questions, which deal with the breakdown of classical descriptions of mainly the transport phenomena, are an excellent feature of the book and appear in the form of solved and unsolved exercises. The book discusses relevant topics such as quantum basics for nanotechnology, Schrödinger equation and nanotechnology plasmonics and modelling of nanodiffusion in graphene in detail and scrutinises numerical and analytical descriptions. It is rather unique in its selection of topics and interdisciplinary treatment of problems in fields ranging from nanoscience to nanotechnology and even nanobiotechnology. It is highly recommended for advanced-level students, postdocs and researchers in this fast-emerging field.”

Prof. Dr. Jeff Th. M. De Hosson, University of Groningen, the Netherlands
  • Format: Hardcover
  • ISBN: 9789814800020
  • Subject: Applied Mathematics
  • Published: February 2019
  • Pages: 230

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.