Visual Differential Geometry and Forms - by Tristan Needham

Visual Differential Geometry and Forms is an inviting, intuitive, and visual exploration of differential geometry and forms.

This comprehensive guide covers two principal goals, providing geometrical explanations of classical results in the first four acts and offering the first undergraduate introduction to differential forms in the fifth act.

With 235 hand-drawn diagrams, Needham deploys Newton's geometrical methods to provide clear and concise explanations of important topics such as the Global Gauss-Bonnet theorem, Gauss's Theorema Egregium, Riemann curvature tensor, Einstein's field equation, and more.

Whether you are a student looking for an intuitive introduction to differential geometry or a seasoned mathematician seeking a comprehensive guide, this book is sure to satisfy your needs.