Topics In Differential Geometry And Calculus Of Variations By Parmanand Gupta

Topics In Differential Geometry And Calculus Of Variations By Parmanand Gupta

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Book Summary:

In writing this book, the author has placed great emphasis on the fundamental concepts and methods of proofs of articles. I have provided sufficient number of illustrative examples on each concept. To reinforce the concepts developed in the definitions and articles, several exercises have been given at proper places.

Audience of the Book :

This book on ‘‘Differential Geometry and Calculus of Variations’’ has been written according to new guidelines and syllabus issued by UGC for various universities of India and all over the world.

 

Key Features:

The main features of the book are as follows:

1.Well explained concepts.

2. Sufficient number of solved examples.

3. Well graded exercises

4. Hints for selected questions 

Table of Contents:

SECTION A: DIFFERENTIAL GEOMETRY

1. Curves in Space

2. Curvature and Torsion

3. Surface in Space

SECTION B: CALCULUS OF VARIATIONS

4. Variatioal Problems with Fixed Boundaries

5. Variational Problems with Moving Boundaries

6. Sufficient Conditions for an Extremum