Best Dover Calculus Books Beyond Calc II

[rnabioullin]

Any recommendations on which Dover calculus books I should acquire that are past the typical "Calculus II" curriculum? Some of them appear to overlap significantly. I have considered the following books:

• Advanced Calculus of Several Variables (Edwards)
• Advanced Calculus: Second Edition (Widder)
• A Course in Advanced Calculus (Borden)
• Advanced Calculus (Friedman)
• Technical Calculus with Analytic Geometry (Gersting)
• ...

 

[fourier jr]

I like the one by widder. I haven't looked at the others so they could be good too for all I know.

 

[mathwonk]

widder is a classic. old fashioned and solid. when i aspired to take honors advanced calculus from loomis he told me i needed to know things like the fact that a continuous function has a max on a closed bounded interval. i checked out widder from the library and read it there, then took the course.

 

[rnabioullin]

What about books on differential equations? I was thinking of:

1. Partial Differential Equations for Scientists and Engineers (Farlow)
2. Ordinary Differential Equations (Tenenbaum)

 

[Leptos]

What about books on differential equations? I was thinking of:

1. Partial Differential Equations for Scientists and Engineers (Farlow)
2. Ordinary Differential Equations (Tenenbaum)

You wouldn't need a book on PDE's till you study ODE's first.
The book by Tenenbaum is excellent, and I daresay, it's one of the only ODE texts out there that are useful(i.e. it doesn't focus on making the book attractive for professors to use or it doesn't focus on trying to impress students which really seems like what most ODE texts do).