Johan A.C. Kolk
Books: Multidimensional Real Analysis
Additional Information for Volume II: Integration
Solution of Exercise 6.15
Solution of Exercise 6.20
Solution of Exercise 6.23
Solution of Exercise 6.49
Solution of Exercise 6.50
Solution of Exercise 6.59
Solution of Exercise 7.15
Solution of Exercise 7.17
Solution of Exercise 7.19
Solution of Exercise 7.21
Solution of Exercise 7.44
Solution of Exercise 7.46
Solution of Exercise 7.53
Solution of Exercise 7.65
Solution of Exercise 8.5
Computation of ζ(2) by successive integration: exercise with solution
Catenoid: exercise with solution
Lambert's cylindrical projection: exercise with solution
Two-step recurrences for hyperarea and volume: exercise with solution
Averaging norms of vectors over submanifolds: exercise with solution
Area of surface in
C
2
: exercise with solution
Tubular neighborhood of curve: exercise with solution
Illustration for preceding exercise
Left-invariant integration on Mat(
n
,
R
): exercise with solution
Green's first identity by means of Gauss' Divergence Theorem: exercise with solution
Wave equation in
R
2
: exercise with solution
Area of
n
-gon: exercise with solution
Vector field on open set is uniquely determined by its curl, divergence and restriction to the boundary of its normal component: exercise with solution
Rate of change of circulation of vector field around moving curve: exercise with solution
Adjoints, vector calculus, quaternions and Euclidean Dirac operator: exercise with solution