Science And Technology

## Topics in Differential Geometry

The present book on ‘‘Differential Geometry’’ has been written as a textbook according to the latest guidelines and syllabus in Mathematics issued by the U.G.C. for various universities. The text of the book has been prepared with the following salient features: (i) The language of the book is simple and easy to understand. (ii) Each topic has been presented in a systematic, simple, lucid and exhaustive manner.
• Publisher: Laxmi Publications
• Language: English
• ISBN : 978-93-5274-100-7
Total Price: 0
• Chapter 1

• Chapter 2

### Preface

This document contains preface.

• Chapter 3

### Symbols

This document contains symbols.

• Chapter 4

### Chapter 1 - Curves in Space Price 0.11  |  0.11 Rewards Points

Differential geometry is that branch of geometry which is treated using the methods of calculus. In particular, we investigate curves and surfaces in space in differential geometry. Differential geometry plays an important role in engineering designs, geodesy, geograph and space travel. Formulae regarding vector algebra and vector calculus are frequently used in the study of differential geometry.

• Chapter 5

### Chapter 2 - Curvature and Torsion Price 0.11  |  0.11 Rewards Points

For curves in space, the concept of curvature and torsion are of fundamental importance. We know that line segments are uniquely determined by their lengths , circles by their radii, triangles by side-angles-side, etc. In geometry, we look for geometric quantities which distinguish one figure from another.

• Chapter 6

### Chapter 3 - Surfaces in Space Price 0.11  |  0.11 Rewards Points

A sphere, a portion of a cylinder are examples of surfaces in space. Till now we have been discussing the differential geometry of curves in space. In the present chapter , we shall learn few quantities regarding surfaces in space.