- #526
MidgetDwarf
- 1,506
- 639
Rereading Hubbard and Hubbard: Vector Calculus, Linear Algebra, and Differential Forms. I have a copy of Bartle: Elements of Analysis, which I believe is a superior book (read it). But I find Hubbard a more enjoyable book to read.
Ie., even a simple thing like why open sets are important in analysis, Hubbard explicitly states why they are important, while with Bartle, you have to digest the formal definition of the derivative to see why.
Ie., if try to take the derivative at a boundary point of a closed set ( or a set that is neither open or closed), it may happen that the f(x+h) term in the definition of the derivative, may not exist. Since x+h may be outside the domain of f.
I am also reviewing Friedberg: Linear Algebra for preparation for an applied linear analysis course. I am still trying to figure out what applied linear analysis, but it says that upper division linear algebra is a prerequisite. Although, I find it a bit boring, having studied from Axler.
Maybe hoping to restart Geometries and Groups when time permits. Such a fun little book.
Ie., even a simple thing like why open sets are important in analysis, Hubbard explicitly states why they are important, while with Bartle, you have to digest the formal definition of the derivative to see why.
Ie., if try to take the derivative at a boundary point of a closed set ( or a set that is neither open or closed), it may happen that the f(x+h) term in the definition of the derivative, may not exist. Since x+h may be outside the domain of f.
I am also reviewing Friedberg: Linear Algebra for preparation for an applied linear analysis course. I am still trying to figure out what applied linear analysis, but it says that upper division linear algebra is a prerequisite. Although, I find it a bit boring, having studied from Axler.
Maybe hoping to restart Geometries and Groups when time permits. Such a fun little book.
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