Differential geometry
Bachelor's degree
In Maynard (USA)
Description
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Type
Bachelor's degree
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Location
Maynard (USA)
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Start date
Different dates available
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
Facilities
Location
Start date
Start date
Reviews
Subjects
- Geometry
- Algebra
Course programme
This course is an introduction to differential geometry. Students should have a good knowledge of multivariable calculus and linear algebra, as well as tolerance for a definition–theorem–proof style of exposition. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
Analysis I (18.100) plus Linear Algebra (18.06 or 18.700) or Algebra I (18.701)
Kuhnel, Wolfgang. Differential Geometry: Curves – Surfaces – Manifolds. Student mathematical library, vol. 16. Providence, RI: American Mathematical Society, 2002. ISBN: 9780821826560.
Spivak, Michael. A Comprehensive Introduction to Differential Geometry. Vol. 2. Boston, MA: Publish or Perish, 1999. ISBN: 9780914098713.
Spivak, Michael. A Comprehensive Introduction to Differential Geometry. Vol. 4. Boston, MA: Publish or Perish, 1999.
do Carmo, Manfredo Perdigañ. Differential Geometry of Curves and Surfaces. Englewood Cliffs, NJ: Prentice-Hall, 1976. ISBN: 9780132125895.
Pressley, Andrew. Elementary Differential Geometry. Springer undergraduate mathematics series. London, UK: Springer, 2002. ISBN: 9781852331528.
Gray, Alfred, Simon Salamon, and Elsa Abbena. Modern Differential Geometry of Curves and Surfaces with Mathematica. Boca Raton, FL: Chapman & Hall/CRC, 2006. ISBN: 9781584884484.
The course will follow the first half of Kuhnel, but rather loosely. For that reason, attendance, and taking notes in classes, is strongly encouraged.
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Differential geometry