free Differential Geometry textbooks

Differential Geometry is a fascinating branch of mathematics exploring curves, surfaces, and their properties through calculus and linear algebra. This field's distinctive features include its ability to elucidate complex structures in multidimensional spaces, making it indispensable in modern physics, computer graphics, and robotics. While challenging due to its abstract concepts and intricate computations, it offers profound insights into geometry's nature. Emerging trends in machine learning and data visualization continue to advance its applications, drawing interest from both casual readers and seasoned researchers.