Applied Books like J. Callahan's Advanced Calculus: A geometric view

[Joker93]

Hello,
do you know of any books similar in style to Callahan's Advanced Calculus book(a book that explains the geometrical intuition behind the math)?
This goes for any subject in mathematics(but especially for subjects like vector calculus, differential geometry, topology).
Thanks in advance!

 

[NathanaelNolk]

Why did you tag differential geometry with you question? Anyway you might be interested in Linear Algebra through Geometry : https://www.amazon.com/dp/0387975861/?tag=pfamazon01-20 although I haven't worked through it myself, I only heard about it. You can give it a try.

 

[Joker93]

Why did you tag differential geometry with you question? Anyway you might be interested in Linear Algebra through Geometry : https://www.amazon.com/dp/0387975861/?tag=pfamazon01-20 although I haven't worked through it myself, I only heard about it. You can give it a try.

Cause in my question I states "especially for subjects like vector calculus, differential geometry, topology".
Thanks for the suggestion.

 

[NathanaelNolk]

Oh my bad, then allow me to add Jänich's superb book on Topology. It is highly visual and geometric. His approach of metric spaces is just great, but you'll need to get exercises elsewhere.

 

[smodak]

1. Not really related to Differential geometry but the following book has superb Geometric intuitions and interpretations

Visual Complex Analysis by Tristan Needham

2. https://www.amazon.com/gp/product/0817683038/?tag=pfamazon01-20

3. https://www.amazon.com/dp/0071481214/?tag=pfamazon01-20