Textbook Suggestions for Self-Studyng Advanced Calculus

In summary, Advanced Calculus is a branch of mathematics that extends basic calculus to study functions, derivatives, and integrals. Self-studying this subject allows for personalized learning and the development of problem-solving skills. Some recommended textbooks for self-studying Advanced Calculus include "Advanced Calculus" by Gerald B. Folland and "Advanced Calculus: A Differential Forms Approach" by Harold M. Edwards. It is important to have a strong foundation in basic calculus and a clear study plan when approaching self-studying. Online resources such as Khan Academy, MIT OpenCourseWare, and Coursera are also available for additional help and practice.
  • #1
AlbertoSalomon
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0
Hi I am studying engineering, as you know the maximum level of calculus reached in engineering is Multivariable Calculus and some vectorial calculus (Im not including courses like Differential Equations or others where there is also applied calculus) so i plan to self study more advanced calculus with the support of a tutor. The question is (with mi actual Knowledges of calculus and mathematics ) can anyone recommend me a good calculus book to continue?

Thanks
 
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  • #2
Have a read through this first
https://www.physicsforums.com/threads/how-to-self-study-mathematics.804404/
 
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1. What is Advanced Calculus?

Advanced Calculus is a branch of mathematics that deals with the study of functions and their derivatives and integrals. It is an extension of basic calculus and includes topics such as multivariable calculus, differential equations, and vector calculus.

2. Why is self-studying Advanced Calculus beneficial?

Self-studying Advanced Calculus allows individuals to learn at their own pace and focus on specific topics that they may be interested in. It also helps develop problem-solving and critical thinking skills.

3. What are some key textbooks for self-studying Advanced Calculus?

Some commonly recommended textbooks for self-studying Advanced Calculus include "Advanced Calculus" by Gerald B. Folland, "Advanced Calculus: A Differential Forms Approach" by Harold M. Edwards, and "Advanced Calculus: A Transition to Analysis" by Thomas P. Dence and Joseph B. Dence.

4. How should I approach self-studying Advanced Calculus?

It is important to have a strong foundation in basic calculus before starting with Advanced Calculus. It is also helpful to have a clear understanding of the topics you want to cover and to have a study plan in place. Practice problems and seeking help from online resources or study groups can also aid in the learning process.

5. Are there any online resources for self-studying Advanced Calculus?

Yes, there are several online resources available for self-studying Advanced Calculus. Some popular ones include Khan Academy, MIT OpenCourseWare, and Coursera. These platforms offer lectures, practice problems, and other helpful materials for self-studying Advanced Calculus.

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