To truly master differential geometry, don't just read the PDF—interact with it.
The book explicitly encourages Mathematica or Maple. Many of the applications (e.g., plotting the torus, calculating geodesics on a paraboloid) expect computational support. If you have the PDF, keep a CAS window open. To truly master differential geometry, don't just read
The book is divided into 10 chapters:
: Oprea treats mathematics as a "unified whole," blending linear algebra, multivariable calculus, and differential equations to explain geometric properties. To truly master differential geometry