The "Supplement to Spivak's Calc on Manifolds" is a resource created by mathematician Michael Spivak to supplement his book "Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus". It includes additional material and exercises to further enhance the understanding of the subject.
The supplement is intended for advanced undergraduate and graduate students studying mathematics, specifically in the field of differential geometry and calculus on manifolds.
The supplement covers topics such as differential forms, integration on manifolds, Stokes' theorem, and exterior calculus. It also includes exercises and solutions for further practice and understanding.
The supplement expands upon the material covered in the original book and provides additional exercises and solutions for further practice. It also offers a more rigorous and advanced approach to the subject, making it a valuable resource for students looking to deepen their understanding.
While prior knowledge of "Calculus on Manifolds" is not necessary, it is highly recommended as the supplement builds upon the concepts and material covered in the book. It is recommended for students who have a strong foundation in multivariable calculus and linear algebra.