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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2024/2025

Differential calculus on manifolds

The course is not on the list Without time-table
Code Completion Credits Range Language
01DPVB ZK 2 2P+0C Czech
Garant předmětu:
Lecturer:
Tutor:
Supervisor:
Department of Mathematics
Synopsis:

Smooth manifold, tangent space differential forms, tensors, Riemannian metrics and manifold, covariant

derivative, parallel transport, orientation of manifold, itegration on manifold and Stokes theorem.

Requirements:
Syllabus of lectures:

1. Smooth manifolds

2. Tangent and cotangent space

3. Tensors, differential forms

4. Orientation of manifold, integration on manifold

5. Stokes theorem

6. Riemannian manifold.

Syllabus of tutorials:
Study Objective:
Study materials:

Povinná literatura

1. L. Krump, V. Souček, J.A. Těšínský: Matematická analýza na varietách, skripta MFF UK, Karolinum, 1999.

Doporučená literatura

2. O. Kovalski: Úvod do Riemannovy geometrie, Univerzita Karlova, 1995.

3. M. Spivak: Calculus on Manifolds, CRC Press, 2018.

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2024-05-18
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