Extremely Advanced Calculus
Multivariable Analysis, Vectors, Forms, Metric
The book is about differential and integral calculus in several variables. The first part on Analysis is mainly about calculus on an open subset of R^n. The second part on Smooth Geometry is about calculus on a manifold modeled on an open subset of R^n. This part has an emphasis on how to draw pictures. not only of vector fields, but also of differential forms and twisted differential forms. The third part on Metric Geometry includes an additional structure: the metric tensor.
Course Notes and Supplementary Material (PDF format)
| Type | File (Size) | Date |
|---|
| Course notes |
v2 PDF (2.4M)
| 05/31/22 |
