15 сент. 2022 г. · For the differential geometry of curves and surfaces (undergrad level), Do Carmo for the classic approach, but I also recommend Barret O'Neills Elementary ...

20 мая 2023 г. · I always recommend Zee's Einstein Gravity in a Nutshell. It introduces differential geometry in a very conceptually rich way, which in my ...

23 апр. 2022 г. · Gauge Fields, Knots, and Gravity by Baez and Munian is probably the most readable introduction to differential geometry, followed by the Lee ...

8 мая 2023 г. · You perhaps want to start with Barret O'Neill's great book: Elementary Differential Geometry. And then upgrade it with the same author's "Semi ...

30 дек. 2023 г. · JM Lee has the books Introduction to Smooth Manifolds and Introduction to Riemannian Manifolds, the first of which covers some differential ...

29 мар. 2021 г. · Most of the differential geometers I know learned the subject from Lee's books Introduction to Smooth Manifolds and Introduction to Riemannian Manifolds.

23 мар. 2023 г. · Applied Differential Geometry by William Burke. A more condensed—but still useful—path would be Chapters 2 and 3 in Wald's General Relativity ( ...

24 апр. 2022 г. · There is a book by Hall “Quantum Theory for Mathematicians. Graduate” that covers this stuff. It is written as an introduction.

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 ...

11 дек. 2023 г. · Here are the topics: -Curves. -Surfaces. -Fundamental forms and curvature. -Gauss-Bonnet theorem. -Manifolds. -2D Riemannian Manifolds.