Customer Reviews

Measure Theory and Integration

5 star:		(0)
4 star:		(0)
3 star:		(2)
2 star:		(1)
1 star:		(0)

 

 

The book isn't organized as a teaching text: is is a definition, theorem and proof type structure that is pretty hard reading. I would have given it two stars except for the convergence diagrams which are digraphs showing the connections between types of convergence. I don't know if the author invented it , but it seems to be a new way to visualize sequence convergence
processes that I hadn't seen before.
He gets low marks for leaving out Hardy, Hilbert and Banach in his discussion of measure spaces. The place of measure in topology
is also not well discussed. Lebesque measure ideas and integration theories
are well discussed.

There's a stupid mistake in the first set of examples on page 16: 1 (vi) should be subset not equality. He also uses seriously non-standard notation for sets and spaces and so on. Don't let it slow you down.

The book isn't organized as a teaching text: is is a definition, theorem and proof type structure that is pretty hard reading. I would have given it two stars except for the convergence diagrams which are digraphs showing the connections between types of convergence. I don't know if the author invented it , but it seems to be a new way to visualize sequence convergence
processes that I hadn't seen before.
He gets low marks for leaving out Hardy, Hilbert and Banach in his discussion of measure spaces. The place of measure in topology
is also not well discussed. Lebesque measure ideas and integration theories
are well discussed.