# Differential Geometry (Notes) by Ms. Kaushef Salamat

These notes are send by Ms. Kaushef Salamat. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org

Name | Differential Geometry (Notes) |
---|---|

Provider | Ms. Kaushef Salamat |

Pages | 241 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 7.79 mB |

### Contents & Summary

In this section, the main heading are given below.

- Space curve
- Twisted curve
- Plane curve
- Tangent
- Arc
- Chord
- Arc length
- Equation of tangent
- Oscillating plane
- Principal normal
- Normal plane
- Curvature
- Equation of osculating plane
- Bi-normal vector
- Equation of Bi-normal
- Torsion
- Seret Frenet formulas
- Equation of tangent in Cartesian formulas
- Equation of osculating plane in Cartesian form
- Rectifying plane
- Circle of curvature
- Locus of centre of curvature
- Radius of torsion
- The locus of centre of spherical curvature
- Fundamental theorem for space curves
- Intrinsic equation of a curve
- Spherical indicatrix of tangent
- Curvature and torsion of spherical indicatrix
- Spherical indicatrix of binormal of a curve
- The curvature and torsion of spherical indicatrix of binormal of a curve
- Spherical indicatrix of principal normal of a curve
- Skew curvature

- Tangent surface
- Involute
- Equation of involute
- Evolute of a curve
- Surface
- Equation of tangent plane to a surface
- Normal to a surface
- Curvature co-ordinates for a surface and parametric curves.
- Metric on a surface, first fundamental form for a surface, first order magnitude
- Directions on a surface
- Normal for a surface
- Second order magnitudes
- Weingarten equations
- Normal section of a surface at a point
- Meunier's theorem
- Normal curvature and radius of normal curvature
- Principal directions and principal curvature
- Differential equation for principal directions
- Euler's theorem
- Surface of revolution
- Normal surface
- One parameter family of surface*
- Characteristic of surface
- Envelop
- Edge of regression
- Equation of edge of regression
- Developable surfaces
- Geodesics or Geodesics line on a surface
- Geodesics curvature vector
- Geodesics curvature
- Differential equation for geodesics on a surface

### Download

### Notes of other subjects

- Advance Analysis by Ms. Iqra Liaqat
- Advanced Analysis: Handwritten Notes
- Affine and Euclidean Geometry by Shahzad Idress
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Notes) by Ms. Iqra Liaqat
- Complex Analysis (Quick Review)
- Complex Analysis by M Usman Hamid
- Differential Geometry (Notes) by Ms. Kaushef Salamat
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Dynamics I by Muhammad Usman Hamid
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Fuzzy Sets Theory by Umar Saeed Bunarai
- General Topology by Raheel Ahmad
- Group Theory by Mr. Muhammad Iftikhar
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Handwritten Notes of Real Analysis by Asim Marwat
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Khalid Latif Mir (Solutions)
- Mathematical Method by Muhammad Usman Hamid
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics by Ms. Iqra Liaqat
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory by M Usman Hamid & Saima Akram
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Mechanics I (Statics) by Dr Babar Ahmad
- Method of Mathematical Physics by Mr. Muhammad Usman Hamid
- Metric Spaces (Notes)
- Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory by Ms. Iqra Liaqat
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Partial Differential Equations by M Usman Hamid
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings & Modules by Ms. Iqra Liaqat
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theoretical Mechanics by Khalid Latif Mir (Solutions)
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology and Functional Analysis Solved Paper by Noman Khalid
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
- Vector Space (Review) by Rashad Wattu
- Vector Spaces (Handwritten notes)