Book reference for Double/ triple integrals

Question

Can someone please suggest me a Calculus book that includes Double integrals, triple integrals, volume bounded between two curves, line integrals and surface inetgrals?

I am looking for a book with plenty of examples and with geometrical approach.

Thanks

Answer 1

There are lots of books that include the topics you are interested. Here are few suggestions you could look into:

Advanced Calculus: A Geometric View, James J. Callahan

Vector Calculus, Peter Baxandall and Hans Liebeck

And for friendly introduction online see: http://tutorial.math.lamar.edu/Classes/CalcIII/CalcIII.aspx

Answer 2

I personally liked Susan Colley's Vector Calculus, Fourth Edition. It can be terse in some places, and its approach is not entirely geometric, but I still think it is a decent book. It's the book that I learned multivariable calculus from and have used it for several semesters to tutor that course.

Answer 3

Other than J. Callahan's book (as suggest by @Harto Saarinen)which is a great book, there are two books that i find it "complete" and those are focusing on both theoretical aspect and practical purpose. V. Zorich - "Mathematical Analysis Vol. I and II" and Moskowitz and Paliogiannis - Function of Several Variables. There are tons of other possible choices, you can look at them here (Theoretical) Multivariable Calculus Textbooks.