Tom M. Apostol's Calculus, Volume 2 is widely regarded as one of the most rigorous and theoretically sound introductions to multi-variable calculus and linear algebra. Because of its complexity, finding reliable solutions is a common challenge for students and self-learners. The Content of Volume 2
Chapter 3 — Line Integrals and Multivariable Integration Exercise 3.12 (example) Problem. Evaluate ∮C (x^2 - y^2) dx + 2xy dy where C is the unit circle oriented counterclockwise. tom m apostol calculus volume 2 solutions