SOLUTIONS MANUAL
,Marian Mureşan
A Concrete Approach to
Classical Analysis
Solutions to Exercises
February 29, 2012
Springer
,
, Contents
1 Sets and Numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5
2 Vector Spaces and Metric Spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 25
3 Sequences and Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27
4 Limits and Continuity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39
5 Differential Calculus on R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49
6 Integral Calculus on R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
7 Differential Calculus on Rn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69
8 Double Integrals, Triple Integrals, and Line Integrals . . . . . . 75