This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and e

This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and e

This book uses elementary versions of modern methods found in sophisticated mathematics to discuss portions of "advanced calculus" in which the subtlety of the

This text is one of the first to treat vector calculus using differential forms in place of vector fields and other outdated techniques. Geared towards students

Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology,