| Details | |
| Venue | Bhaskaracharya Pratishthana, Pune |
| Dates | 2 Dec 2024 to 14 Dec 2024 |
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Convener(s) |
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| Name: | Prof. V. M. Sholapurkar | Dr. Vivek Mallick |
| Mailing Address: | Bhaskaracharya Pratishthana, Pune. | IISER, Pune |
| Email: | vmshola at gmail.com | vmallick at iiserpune.ac.in |
| Registration details |
| For registration and other details please visit: https://www.atmschools.org/school/2024/IST/csdf |
Speakers and Topics
Detailed Syllabus:
Topic: Theory and Examples of Curves and Surfaces
Speaker: Dr. Sushmita Venugopalan.
• Curves in the Plane and in Space
• How Much Does a Curve Curve?
• Global Properties of Curves
• Surfaces in Three Dimensions
Topic:Introduction to Differential Manifolds
Speaker: Dr. Vivek Mallick, IISER, Pune.
• The Volume of a Parallelopiped
• Volume of a Parametrized-Manifold
• Manifolds in
• The Boundary of a Manifold
• Integrating a Scalar Function over a Manifold
Topic: First and second fundamental forms, Gaussian, mean and principal curvatures of a surface
Speaker: Prof. Nitin Nitsure, Bhaskaracharya Pratishthana, Pune.
• The First Fundamental Form
• Curvature of Surfaces
• Gaussian Curvature and the Gauss Map
Topic: Differential Forms and Vector Calculus
Speaker: Prof. V. M. Sholapurkar, Bhaskaracharya Pratishthana, Pune.
• Multilinear Algebra
• Tangent Vectors and Differential Forms
• The Differential Operator
• Application to Vector and Scalar Fields