Differential Geometry: A First Course
Differential Geometry: A First Course by D. Somasundaram
English | 2004 | ISBN: 184265182X | 468 pages | PDF + DJVU | 4 + 31 MB
English | 2004 | ISBN: 184265182X | 468 pages | PDF + DJVU | 4 + 31 MB
Differential Geometry: A First Course is an introduction to the classical theory of space curves and surfaces offered at the Graduate and Post- Graduate courses in Mathematics. Based on Serret-Frenet formulae, the theory of space curves is developed and concluded with a detailed discussion on fundamental existence theorem. The theory of surfaces includes the first fundamental form with local intrinsic properties, geodesics on surfaces, the second fundamental form with local non-intrinsic properties and the fundamental equations of the surface theory with several applications.