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Introduction and early observations of nanotechnology is covered in book with proper references. Detailed growth mechanism of nanoparticles with formula and physics associated with it is explained. Most of synthesis techniques used to prepare nanoparticles is discussed in detail. Physics behind nucleation and growth mechanism is discussed with required mathematical aspect point of view. How and why basic optical, electrical, mechanical, thermal, magnetic and other properties changes when materials dimensions are reduces to nanometer is also explained with the help of quantum mechanics. Energy band gap for semiconducting single crystal is explained in term of mathematics and main concepts of physics behind that mathematics. Effect of doping in all properties like electrical, magnetic, dielectric, optical, thermal, structural as well as synthesis temperature and many more properties changes, it is briefly discussed with their mathematics and logic behind it.