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

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SUMMARY

The discussion centers on finding advanced calculus textbooks with challenging exercises, specifically seeking alternatives to James Stewart's texts. K.A. Stroud's 'Engineering Mathematics' and 'Advanced Engineering Mathematics' are recommended for their comprehensive explanations of advanced calculus concepts, including gradients, divergence, and curls of vectors. These books are noted for their substantial number of exercises, making them suitable for those looking for rigorous practice.

PREREQUISITES
  • Understanding of basic calculus concepts
  • Familiarity with vector calculus
  • Knowledge of mathematical problem-solving techniques
  • Ability to engage with advanced mathematical texts
NEXT STEPS
  • Research 'Engineering Mathematics' by K.A. Stroud for its advanced calculus content
  • Explore 'Advanced Engineering Mathematics' by K.A. Stroud for additional exercises
  • Investigate other advanced calculus textbooks that focus on problem-solving
  • Look into online resources or forums discussing advanced calculus exercises
USEFUL FOR

Students and educators in mathematics, particularly those seeking to deepen their understanding of advanced calculus and enhance their problem-solving skills through challenging exercises.

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.
 
Last edited:
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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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