So I'm wanting a solid math book for Christmas. I have a solid background in Calculus and am currently working through baby Rudin. I really want a rigorous book dealing with multivariable calculus and linear algebra. How well does Apostol II do this? Would this be a good continuation book from my current study? If not, what book would you suggest?
EDIT: I really like Apostol's Multivariable Calculus and Linear Algebra book and its format. Will this book accomplish my purpose? Do you think it is a good book?