# Calculus on Manifolds, Fall 2019

HomeCalculus on Manifolds, Fall 2019
## Calculus on Manifolds

### V. Ivanov

#### Recommended textbooks

##### Manifolds

- P.Gadea, J.Munoz, I.Mykytyuk, Analysis and Algebra on Differentiable Manifolfds
- J.Lee, Introduction to Smooth Manifolds
- J.Munkres, Analysis on Manifolds
- L.Nicolaescu, Lectures on the Geometry of Manifolds, https://www3.nd.edu/~lnicolae/Lectures.pdf
- M.Spivak, A Comprehensive Introduction to Differential Geometry
- L.Tu, An Introduction to Manifolds

##### Recalling Linear Algebra

- S. Axler, Linear Algebra Done Right.
- S. Freidberg, A. Insel, L. Spence, Linear Algebra. (The sections without an asterisk)

#### Homework Assignments

- Problem Set 1, due September 19, pdf file, tex file
- Problem Set 2, due September 26, pdf file, tex file
- Problem Set 3, due October 3, pdf file, tex file
- Problem Set 4, due October 10, pdf file, tex file
- Problem Set 5, due October 17, pdf file, tex file
- Problem Set 6, due October 31, pdf file, tex file
- Problem Set 7, due November 7, pdf file, tex file
- Problem Set 8, due November 14, pdf file, tex file
- Problem Set 9, due November 21, pdf file, tex file
- Problem Set 10, due November 28, pdf file, tex file
- Problem Set 11, due December 5, pdf file, tex file