Hi, I'm asking for a friend who will be majoring in chemical engineering. We have already taken Calculus I, II, and III under a course offered by a local community college. Admittedly, it was taught from stewart's series of calculus books, and we did exactly zero proofs in the class, and all the homework and tests were computations. My friend got an A+ in the class, which is more or less the 99th percentile, so she is pretty solid with computations. She is going to UC Berkeley next year, and is considering using the college credits to skip multivariable calculus. We both would like to read a textbook to review multivariable calculus over summer and refresh our minds (we didn't do any math senior year, since we finished all the math classes by our junior year). She is definitely less interested in the theoretical aspects of mathematics than the math inclined people on this forumould be, so probably lean away from suggestions like Apostol, spivak, etc. But since chemical engineering majors have to take ODEs, PDEs, and linear algebra anyways, I don't think it would be bad to have a soft introduction to reading and writing proofs in the books, but, again, nothing hardcore math-major like spivak. I am currently looking at Gilbert Strangs Calculus textbook for her. Would it serve her purposes well? Suggestions? Thanks.