Recommendation for an Advanced Calculus text

Thread starter mateomy
Start date Apr 17, 2012
Tags

advanced Advanced calculus Calculus Recommendation Text

In summary, the recommended level of proficiency for this advanced calculus text is a strong understanding of differential and integral calculus, as well as basic knowledge of multivariable calculus. There are specific prerequisites for using this text, including a solid foundation in calculus and knowledge of basic mathematical concepts. The text is designed for students who have completed a standard calculus course and covers more advanced topics with rigorous proofs. The teaching style is traditional, focusing on theoretical concepts and applications, with exercises for practice. While it can be used for self-study, having an instructor or tutor for clarification is recommended.

Apr 17, 2012

mateomy

As the title suggests, I'm looking for a good text on Advanced Calculus for self-study.

Thanks.

Physics news on Phys.org

Apr 17, 2012

DryRun

Gold Member

Calculus: One and Several Variables
By Saturnino L. Salas, Garret J. Etgen, Einar Hille.
10th edition.

Apr 17, 2012

mateomy

Thanks. I'll check it out right now.

Apr 17, 2012

mateomy

That book just seems like a standard Calc text. I'm looking for something to use as a precursor to Real Analysis.

1. What is the recommended level of proficiency in calculus for this advanced text?

The recommended level of proficiency for this advanced calculus text is at least a strong understanding of differential and integral calculus, as well as basic knowledge of multivariable calculus.

2. Are there any specific prerequisites for using this advanced calculus text?

Yes, this text assumes a solid foundation in calculus and knowledge of basic mathematical concepts such as limits, derivatives, and integrals. It is also recommended to have some experience with proof-based mathematics.

3. How is this advanced calculus text different from a regular calculus textbook?

This advanced calculus text is designed for students who have already completed a standard calculus course and are looking to deepen their understanding of the subject. It covers more advanced topics, includes more rigorous proofs, and requires a higher level of mathematical maturity.

4. What is the teaching style of this advanced calculus text?

This text follows a traditional approach to teaching calculus, focusing on theoretical concepts, proofs, and applications. It may also include exercises and problems for students to practice and apply their knowledge.

5. Is this advanced calculus text suitable for self-study?

While this text can be used for self-study, it is recommended to have a knowledgeable instructor or tutor available for clarification and assistance with more difficult concepts and proofs.