What are some good textbooks for advanced calculus with challenging exercises?

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For advanced calculus textbooks with challenging exercises, "Engineering Mathematics" and "Advanced Engineering Mathematics" by K.A. Stroud are recommended. These texts provide in-depth explanations of complex topics like gradients, divergence, and curls of vectors. They are noted for their problem sets that exceed the difficulty level of Stewart's calculus. The discussion emphasizes the need for a textbook that balances theoretical understanding with practical exercises. These recommendations aim to meet the request for a rigorous approach to advanced calculus.
nameVoid
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im looking for a textbook with an advanced level of dificulty in the problems somthing harder than stewart. not an analytical style text but some with a good number of exercises.
 
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Hi nameVoid,

I use 'Engineering Mathematics' and 'Advanced Engineering Mathematics' by K.A. Stroud.

The advanced book gives some pretty good explanations of advanced Calculus including Gradients, Divergence & Curls of Vectors.

Not too sure if the above is of help. Hope so though.

Regards,

Jus
 

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