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

In summary, advanced calculus is a branch of mathematics that deals with advanced concepts in calculus such as multivariable calculus, vector calculus, and differential equations. It may be difficult to learn for some individuals, but with dedication and practice, anyone can master it. Advanced calculus builds upon regular calculus and has practical applications in fields such as physics, engineering, economics, and statistics. To improve understanding, it is important to have a strong foundation in basic calculus and to practice regularly, seeking help from a tutor or joining a study group can also be beneficial.
  • #1
nameVoid
241
0
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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  • #2
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
 

1. What is advanced calculus?

Advanced calculus is a branch of mathematics that deals with the study of advanced concepts in calculus, including multivariable calculus, vector calculus, and differential equations.

2. Is advanced calculus difficult to learn?

Like any subject, the difficulty of learning advanced calculus can vary depending on the individual's background and level of understanding in mathematics. However, with dedication and practice, anyone can learn advanced calculus.

3. How is advanced calculus different from regular calculus?

Advanced calculus builds upon the concepts learned in regular calculus, and introduces more complex topics such as multivariable functions, vector fields, and higher-dimensional integrals.

4. What are some practical applications of advanced calculus?

Advanced calculus has numerous practical applications in fields such as physics, engineering, economics, and statistics. It is used to model and solve real-world problems involving rates of change, optimization, and motion.

5. How can I improve my understanding of advanced calculus?

To improve your understanding of advanced calculus, it is important to have a strong foundation in basic calculus concepts and to practice regularly. Additionally, seeking help from a tutor or joining a study group can also be beneficial.

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