20 апр. 2018 г. · If all you want is to learn GR, introductory books like Schutz, Hartle or Carroll explain the required math. You can read an actual math ...

30 мар. 2020 г. · On the other hand if you want to learn differential geometry of manifolds, then you should be comfortable with topology, multilinear algebra, ...

1 сент. 2023 г. · You need to know at the very least basic linear algebra and calculus. Knowing some analysis helps. You'll probably run into differential equations so you ...

25 янв. 2018 г. · The proper way to learn differential geometry is by having the right background. Fundamentals from manifold theory can't be rushed, mastery of index notation ...

3 апр. 2020 г. · A good and very accessible intro to the ideas of differential geometry can be found in Do Carmo's Differential Geometry of Curves and Surfaces.

20 мая 2023 г. · An introductory recommendation is the book A First Course in General Relativity by Schutz, that teaches the required math from the start and ...

31 янв. 2016 г. · I recommend Lee's introduction to smooth manifolds. Books like Pressley, do Carmo and O'Neill are about classical differential geometry of ...

27 февр. 2017 г. · Learn about smooth manifolds first. They are the foundation for differential geometry. I recommended Flanders' Differential Forms with ...

17 февр. 2019 г. · A Geometric Approach to Differential Forms is a really nice entry level book that will get you to the basics of differential geometry.

22 апр. 2020 г. · What are the prerequisites for learning differential geometry? · Introductory complex analysis · Ordinary and partial DEs · Fourier series and ...