Exercises-7.pdf
This document was uploaded by user and they confirmed that they have the permission to share it. If you are author or own the copyright of this book, please report to us by using this DMCA report form. Report DMCA
Overview
Download & View Exercises-7.pdf as PDF for free.
More details
- Words: 121
- Pages: 1
MA 229 : Problem set 7 Due on April 1st 2019 1. Exercise 4 of Chapter 7 §34 of Munkres, page 291. 2. Exercise 6 of Chapter 7 §34 of Munkres, page 291-2. 3. Exercise 4 of Chapter 7 §37 of Munkres, page 308. 4. Exercise 6 of Chapter 7 §37 of Munkres, page 309. 5. (a) Parametrize the surface in R4 given by the equations x21 + x22 = 1, x23 + x24 = 4. (b) Integrate the 2-form x1 x2 dx2 ∧ dx3 over this surface. (c) Compute d(x1 x2 dx2 ∧ dx3 ). (d) Represent the surface as the boundary of a three-dimensional manifold in R4 , and verify that Stokes’ theorem is true in this case.
1
1
More Documents from "B.s. Jnyaneshwar"
Kart / Map Vestre Trysil Utmarkslag
July 2020 4
Hyttetomt Rendalen Norway
July 2020 6
Exercises-7.pdf
June 2020 4
