Families of maps Singularities and its Gauss maps

This paper mainly studies the Singularities of smooth mapping. The singularities of the families of Gauss maps corresponding to the family of mappings are studied and the shape of these families and their singularities using mathematica program are illustrated and plotted. (M. A. Soliman, Nassar. H. Abdel-All, Soad. A. Hassan and E. Dahi. Families of maps Singularities and its Gauss maps. Life Science Journal. 2011;8(3):482-487) (ISSN: 1097-8135). http://www.lifesciencesite.com.