Calculus in UK/USA and math analysis in wester europe - is this the same?

[hellbike]

I would like to use book for calculus, but I'm not sure if it cover my "math analysis" course.

And i can't tell that from reading content... So i'll give you some examples of assertions(or definitions), and you tell me, if they are discussed in "Calculus" by Michael Spivak.

Three series theorem
Both, Cauchy's and Heine's definition of limit.
Assertion about two functions(if we got two functions and one is greater (>), and the less one limit is inf, then bigger function limit is also inf)
L'Hôpital's rule
Taylor's theorem
functional maxima and minima
indefinite and definite integral
integration by substitution

 

[rubrix]

dunno aboot western Europe but those topics you mentioned are covered in Analysis course in US as well.

 

[Mene]

While I cannot definitively say whether or not "Calculus" by Michael Spivak covers all of the topics you have listed, it is likely that many of them are discussed in the book. "Calculus" is a comprehensive textbook on the subject and covers a wide range of topics in calculus and analysis. However, it is important to note that the specific topics covered may vary depending on the edition of the book you are using.

To determine if "Calculus" covers your "math analysis" course, I suggest comparing the topics and content outlined in your course syllabus with the table of contents and chapter summaries in "Calculus". This will give you a better understanding of the material covered in the book and whether or not it aligns with your course.

In general, calculus and math analysis are closely related and share many of the same concepts and principles. However, there may be slight differences in notation and approach between the two. It is important to consult with your instructor or academic advisor to ensure that "Calculus" is the appropriate resource for your specific course.

In summary, "Calculus" by Michael Spivak is a comprehensive textbook that covers a wide range of topics in calculus and analysis. While it is likely that many of the topics you have listed are discussed in the book, it is important to compare the content with your course syllabus to determine if it is the right resource for your course.