Unlock the fascinating world of modern differential geometry with “Manifolds, Vector Fields, and Differential Forms.” Designed for advanced undergraduates and master’s students, this Springer Undergraduate Mathematics Series textbook prioritizes understanding and intuition. It builds upon a foundation of linear algebra and multivariable calculus, introducing manifolds intrinsically and smoothly integrating concepts with familiar calculus. This approach minimizes topological prerequisites. Engage in active learning with integrated questions and answers, perfect for self-study. Reinforce your knowledge with varied homework problems. An ideal introduction to differential geometry, providing comprehensive material and instructor guidance for a rich learning experience at The Bookish Owl.